If DEF=GJH, find each missing measure

a) DF =

d) F =

b) JH =

|||

e) m&G =

c) GJ =

f) m =

I need help it’s due in 20 minutes:(

Answers

Answer 1

Congruent triangles have equal corresponding sides and angles.

The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364353

If DEF=GJH, Find Each Missing Measurea) DF =d) F =b) JH =|||e) M&G =c) GJ =f) M =I Need Help Its

Related Questions

I need help this goes towards my grade so please be correct

Answers

Answer:

0 us the answer for this question

please help... ABCD is a quadrilateral​

Answers

A ———————————————————

What is (-2) power 35?

Answers

Answer: − 34359738368

A jacket usually sells for $68.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?

Answers

Answer:

$ 43.25

Step-by-step explanation:

68 - 40% = 40.8

40.8 + 6% = $ 43.25

which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!

Answers

Answer: 10 - 6x

2 x 5 = 10

2 x 3 = 6

therefore: 10 - 6x

I hope this helps!

Answer:

the answer is 10-6x

Step-by-step explanation:

by multiplying 2 by 5 and -3x

u will get ur 10-6x

There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?

Answers

Answer:

alan received 24 votes

Step-by-step explanation:

bark

The mean of 7 numbers is 15. When an 8 thnumber is added, the mean decreases to 12. What is the 8 thnumber?.

Answers

Answer:

-9?????????????????????????

Step-by-step explanation:

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

For more references on Compound interest, click;

https://brainly.com/question/14295570

#SPJ5

If a triangle is equilateral, then all the sides in the triangle are congruent.If all the sides in a triangle are congruent, then all the angles are congruent.

Answers

Answer:

Where's the question?

Step-by-step explanation:

Write an equation in slope intercept form of the line

Answers

Answer: y=-1/4x+4

Step-by-step explanation:

slope goes down 1, and right 4 so it's -1/4. Y-intercept is positive 4 so it will be +4

Anyone help for brainlist:)
Determine the graph of the function -->f(x)=2^x−1

Answers

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

linear equations

1. 4= x + 2
2. 6= x-3
3. 7= a + 4
4. 6= x - 7
5. 1= c - 2
6. 5= s + 2
7. x + 3=10
8. c + 4= 4
9. 3= b + 2
10. 6 + c= 10
11. 7= x + 3
12. x + 1= 9
13. x + 3= 15
14. y -6 = 4
15. x - 7 = 4
16. 6= x - 4
17. x - 4 = 2
18. x - 9 = 2​

Answers

1. x = 2
2. x = 9
3. a = 3
4. x = 13
5. c = 3
6. s = 3
7. x = 7
8. c = 0
9. b = 1
10. c = 4
11. x = 4
12. x = 8
13. x = 12
14. y = 10
15. x = 11
16. x = 10
17. x = 6
18. x = 11

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?

Answers

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

9/12 as an equivelant fraction

Answers

Answer:

3/4

Step-by-step explanation:

9/12

Divide the top and bottom by 3

9/3 = 3

12/3 = 4

The fraction becomes 3/4

what is 39/17 as a decimal rounded to the nearest tenths?

Answers

Answer:

Definitely 2.3

Step by step explanation:

help needed please im stuck

Answers

Answer:

  a) b^3

  b) x^3

Step-by-step explanation:

It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.

a)

  [tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]

__

b)

  [tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]

The minute hand of a clock turns 6 degrees per minute. In ten minutes the minute hand turns what fraction of a full 360 turn?

Answers

Answer:

25%

Step-by-step explanation:

15 times 6 is 90

90 is 25 % of 360

a) 60 square meters in square centimeters.

Answers

Answer:

600,000 cm²

Step-by-step explanation:

We know the conversion from meters to centimeters to be

1 m = 100 cm.

We need the conversion factor from square meters to square centimeters.

Start with

1 m = 100 cm

Square both sides.

(1 m)² = (100 cm)²

1 m² = 10,000 cm²

Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².

60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²

Find the reference angle for -369°
a.

c.
99°
b.
81°
d.
171°


Please select the best answer from the choices provided

A
B
C
D

Answers

my guess would be guess A

Answer:

A. 9

Step-by-step explanation:

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

What does x equal in the equation 10= 0.0048(x - 50)^2 + 6?

Answers

Answer:

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

Step-by-step explanation:

(x-50)^2 is x^2+2500-100x*.0048 is .0048x. 2500*0.0048 is 12, and -100*0.0048=-.48.

So, we have .0048x^2+12-.48x+6, which is

.0048x^2+18-.48x=10. USing the quadratic formula, we get

x=\frac{0.48+\sqrt{0.0768}}{0.0096},\:x=\frac{0.48-\sqrt{0.0768}}{0.0096}

(Enter into symbolab.com to see theanswer)

Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (points P and Q are not at point A) in such a way that PC=PQ. Find m∠PQC.

Answers

Answer:

15°

brainlest

Step-by-step explanation:

Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)

The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.

Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°.  Angle PQC has the same measure as angle RQC, so is 15°.

Angle PQC is 15°.

Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).

Answers

Slope formula: (y2 - y1/x2 - x1)

Substitute

(9 - 17/-1 - 3) = 2

The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?

Answers

Answer:

66.8421% decrease

Step-by-step explanation:

1. How well do you work with fractions and decimals? (2 point)
I can explain how fractions and decimals are related. I can convert fractions to decimals and decimals to
fractions without needing help
I can usually convert fractions to decimals and decimals to fractions, but sometimes I make mistakes
I can sometimes convert fractions to decimals and decimals to fractions, but I need more practice with
this
I do not understand how fractions and decimals are related, or how to convert them.

Answers

Step-by-step explanation:

when you get a decimal like 0.02 and you want to express it in fraction,this is a simple trick.

first,put your pen at the point and move it forward till you end at the last number.

While you move the pen over each value, you will count the number of jumps and record the number of jumps in zeros i. e

2÷100 and it means that,the last 1or 3or 3whole numbers will become the numerator

make x the subject of the formula
y=a √x

Answers

Answer:

Y^2/a = x

Step-by-step explanation:

Y = a sqr X

Square both sides

Y^2 = a * x

Divide a

Y^2/a = x

Answer:

[tex] x = \dfrac{y^2}{a^2} [/tex]

Step-by-step explanation:

[tex] y = a\sqrt{x} [/tex]

Square both sides.

[tex] (y)^2 = (a\sqrt{x})^2 [/tex]

[tex] y^2 = a^2(\sqrt{x})^2 [/tex]

[tex] y^2 = a^2x [/tex]

Divide both sides by a².

[tex] \dfrac{y^2}{a^2} = x [/tex]

Switch sides.

[tex] x = \dfrac{y^2}{a^2} [/tex]

Please help me asap
DO NOT USE LINKS

Answers

1. a = 8

2. b = 7

3. c = -3

4. d = 6

5. e = 1

6. f = 2

Can someone please help me

Answers

Answer:

[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]

What is the midpoint between points (4, 7) and (1, 1)?
Enter your answer down below

Answers

Answer:

(2.5, 4)

Step-by-step explanation:

(4, 7) (1, 1)

midpoint formula is ( (x1 + x2) / 2  , (y1 + y2) / 2 )

=>( (4 + 1)/2 , (7 + 1)/2 )

=> (5/2, 4)

=> (2.5, 4)

Other Questions
A student has a sample of ocean water that they take to science class. what steps could be taken to determine to classify the ocean water as a suspension, solution, element, or compound?A) Examine the pH of the sample. If the pH is exactly neutral, it is a pure substance that is a compound.B) Evaporate the water. If salt is left behind, the sample is a mixture that can be defined as a solution.C) Let the sample settle. If the salt settles to the bottom, it is a mixture that is classified as a solution.D) Observe the diffraction of light as it moved through the sample. If light does not scatter, it is a pure substance that is elemental. What is photorespiration. Why was the russian government overthrown in 1917. Find the equation of the line where m = 1 and b = 8.y = 8 - xy = 8y = 8x + 1y = x + 8 12. Which is NOT a natural cause of extinction? A. DiseaseB. Catastrophic eventsC. Introduction of new speciesD. Competition due to overpopulation24. Which is NOT true about energy transformation? A. Energy is essential to all organisms.B. Food contains energy that is needed by all organism.C. Heterotrophs feed on autotrophs and other heterotrophs to gain energy.D. Autotrophs do not need energy because they can produce their own food.23. Which is the CORRECT sequence of events in cellular respiration? A. Glycolysis - fermentation - Krebs CycleB. Glycolysis - Krebs Cycle - Electron TransportC. Krebs Cycle - Electron Transport - GlycolysisD. Krebs Cycle - Glycolysis - Electron Transport2. In humans there are four types of blood; type A, type B, type AB and type O. A person with a genotype of IaIa or Iai will have blood type_____? A. AB. BC. OD. AB4. A couple has four children, one son and three daughters. What is the chance that the fifth child will be a daughter? A. B. C. D. 1/522. Cellular respiration releases energy by breaking down_______. A. ATPB. waterC. carbon dioxideD. food molecules5. A man is colorblind but there is no history of this disorder in his wifes family. What is the chance that their son is colorblind? A. 0B. 25%C. 75%D. 100%25. Which BEST summarizes the process of respiration? A. Water + Carbon Dioxide ( light) sugar + oxygenB. Sugar + Oxygen (enzymes) water+ carbon dioxide +energyC. Water + Sugar ( light ) carbon dioxide + oxygenD. Oxygen + Water (enzymes) sugar + carbon dioxide + energy1. A father with blood type AB and a mother with blood type O will probably produce offspring with a blood type ___. *A. AB. BC. A or BD.AB or O6. What is a sex- linked trait that results in the inability to have normal blood clotting? A. baldnessB. color blindnessC. diabetesD. hemophilia11. What causes species extinction? A. Pollution and reforestationB. Reforestation and carbon emissionC. climate change and over consumptionD. conservation and consume 18. The pigment molecules responsible for photosynthesis are located in the _______? *A. MitochondriaB. Cytoplasm of the cellC. Stroma of the chloroplastsD. Thylakoid membrane of the chloroplasts13. Which part of a leaf contains most of the chloroplasts? A. Lower epidermisB. Palisade mesophyllC. Spongy mesophyllD. Upper epidermis19. At optimum light intensity, which atmospheric gas most directly influences the rate of photosynthesis? A. NitrogenB. OxygenC. SulfurD. Carbon Dioxide14. What part of the leaf is this tiny opening in the lower epidermis which makes it rough and responsible for the entrance and exit of gases in plants? A. xylemB. phloemC. stomataD. guard cells16. In which part of the chloroplast does light reactions of photosynthesis takes place?A. GranaB. StromaC. Inner membraneD. Outer membrane17. Which is NOT needed to make food in plants? A. FlowerB. SunlightC. ChlorophyllD. Carbon Dioxid8. Color-blindness is inherited as a sex-linked recessive trait. If a normal woman, carrier of the gene marries a man with normal color vision. What would be the expected phenotype of their children with reference to color-blindness? A. All color-blindB. 2 carriers, 2 color-blindC. 1 normal, 3 carriersD. 2 normal, 1 carrier, 1 color-blind3. Blood type O has both antibodies A and antibodies B in the plasma but has no antigen on its erythrocytes or red blood cells. That is why Blood Type O is considered UNIVERSAL______. A. BloodB. DonorC. MarkerD. Recipient7. Melvins thinning hair is like that of his father. This characteristic of baldness is due toA. multiple allelesB. sex-linkedC. sex-influencedD. sex-limited What would have happened if the south didnt join the us after the civil war? Children's self-esteem in the later part of elementary school is ______ it is in the earlier part. Multiple choice question. HELP PLZ BEFORE I FAIL! The belief that personality is fully formed and immune to change by adolescence is relevant to the issue of: 7. Find the rate of change from the table.024136-10205080 A power plant running at 31 % efficiency generates 270 MW of electric power. Part A At what rate (in MW) is heat energy exhausted to the river that cools the plant freedom of speech is protected under an amendment to what governing document? What is the coefficient for O2 in the balanced version of the following chemical equation: C2H4+O2CO2+H2O Emilia waited 11 minutes for the bus today. That is 4 minutes less than she waited yesterday. How long did Emilia wait for the bus yesterday? at a baseball game, henry bought 5 hotdogs and 3 bags of chips for $14.82. scott bought 7 hotdogs and 6 bags of chips for $22.89. Consider the following class. public class ClassicClass { private static int count = 0; private int num; public ClassicClass() { count++; num = count; } public String toString() { return count + " " + num; } } What is printed when the following code in the main method of another class is run? ClassicClass a = new ClassicClass(); ClassicClass b = new ClassicClass(); ClassicClass c = new ClassicClass(); System.out.println(a + ", " + b + ", " + c); In rhetoric, ethical appeals, or ethos, is particularly concerned with the emotions of the audience. true or false Help help help English pelsss please please please Which actor starred in both of the only christmas movies released in 1989? Which of the following statements about large and small farms in the United States is true?A.The number of small farms has increased, but large farms still outnumber them.B.The number of small farms has increased, and they now outnumber large farms.C.The number of small farms has decreased, but they still outnumber large farms.D.The number of small farms has decreased, and they are outnumbered by large farms