Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?

Answers

Answer 1

Answer:

Angle GHI measures 56º, and angle JKL measures 34º.

Step-by-step explanation:

Complementary Angles:

If two angles are complementary, the sum of their measures is 90º.

∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.

Since they are complementary:

[tex]5x + 6 + 3x + 4 = 90[/tex]

[tex]8x + 10 = 90[/tex]

[tex]8x = 90 - 10[/tex]

[tex]8x = 80[/tex]

[tex]x = \frac{80}{8}[/tex]

[tex]x = 10[/tex]

Measures:

GHI: 5*10 + 6 = 50 + 6 = 56º

JKL: 3*10 + 4 = 30 + 4 = 34º.

Angle GHI measures 56º, and angle JKL measures 34º.

Answer 2

The measures of the two angles are 56 and 34 degrees

The sum of complementary angles is 90degrees

Given the measurement:

GHI is (5x+6)∘ and;∠JKL measures (3x+4)

Taking the sum and equating to 90 degrees

5x + 6 + 3x + 4 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 10

∠GHI = 5(10) + 6

∠GHI = 56 degrees

∠JKL = 90 - 56

∠JKL = 34degrees

Hence the measures of the two angles are 56 and 34 degrees

Learn more on complementary angles here: https://brainly.com/question/20728641


Related Questions

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

How many milligrams of medication are in 75 mL of a 2% solution?

Help

Answers

The answer is 23 I took the test

Corey need a 24 boards that are 47 1/2 inches long







A. How many feet a boards should he buy? Explains.










B. if you can only buy 8-fot boards, how many should he buy? explain ​

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

which equation is parrel to the equation y=3x-4​
y=3x-8
y=4x+2
y=x-9
y=-1/3x+4

Answers

Answer:

Parallel means they have the same slope so, y=3x-8

Stephanie collected maple syrup from some of her trees. From the first set of trees, she collected 2 gallon of syrup. The second

1

and third set of trees yielded 3 gallons each.

Part A: How many gallons of syrup did she collect in all?

Part B: After using some of the syrup she collected for cooking, Stephanie found that she only had a gallons of syrup left. How

much syrup did she use for cooking?

Answers

Answer:

Part A - 8

Part B - 7

Step-by-step explanation:

Part A

She collected 8 gallons of syrup in total. Two gallons from first tree, three gallons from second tree and three gallons from third tree.

Part B

She used seven gallon of syrup for cooking.

She is left with one gallon syrup only out of total eight gallon syrup

50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!

Answers

Answer:

43

Step-by-step explanation:

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

Discussion Prompt: A fair coin is tossed twice and the number of heads is recorded. Jose says the P(1 head) = 1/2, while Jeff students says P(1 head) = 1/3. Explain in detail why Jose is correct.

Answers

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

HHHTTHTT

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

Courtney walks 5 laps around 1/4 mile track. how far does she walk?

Answers

Answer:

1 1/4 miles

Step-by-step explanation:

Factor out the greatest common factor

Answers

Answer:

C

A

B

D

Step-by-step explanation:

Quadrilaterals WXYZ and W"X"Y"Z"are similar. Identify the type of reflection

performed and the scale factor.

A)

To obtain quadrilateral W"X"Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 3.

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

c) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 2.

D) To obtain quadrilateral W X Y Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/3.

Answers

Answer:

B) To obtain quadrilateral W'X'Y"Z" quadrilateral WXYZ is reflected across

the x-axis and dilated with a scale factor of 1/2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

If a point A(x, y) is reflected across the x axis the new point is at A'(x, -y)

Dilation is the enlargement or reduction in the size of a figure by a scale factor. If a point A(x, y) is dilated by a scale factor of k about the center of origin, the new point is at A'(kx, ky).

The vertex of Quadrilaterals WXYZ is at W(-6, 8), X(-2, 8), Y(-2, 2), Z(-6, 8) while the vertex of Quadrilaterals W"X"Y"Z" is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

If quadrilateral WXYZ is reflected across  the x-axis, the new coordinates would be at W'(-6, -), X'(-2, -8), Y'(-2, -2), Z'(-6, -8). If the quadrilateral is then dilated with a scale factor of 1/2, the new point is at W"(-3, -4), X"(-2, -4), Y"(-1, -1), Z"(-3, -4)

5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1

Answers

Answer:

I think it’s -5

God bless you & have a beautiful rest of your day “and sorry if it didn’t help”.

To the nearest hundredth, what is the length of the diagonal of the prism

Answers

Answer:

theres nothing there

Step-by-step explanation:

The equation 3x + 2 = 29 is modeled below.
Which is the first step in solving the equation for x?

Answers

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

Help plsssssssssssssssss

Answers

The answer would be B
First, you solve the equation (-2a-5>3=-2a>8=a>-4). Since a>-4 would be our final solution, we have to graph a as anything above -4.

3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer

Answers

Answer:

x= -4

Step-by-step explanation:

Answer: x = -4

Step-by-step explanation:

first, we remove the parentheses.

3x - 12 + 2x = 7x + 10 + 2x - 6

then, we cancel equal terms.

3x - 12 = 7x + 10 - 6

then, we calculate.

3x - 12 = 7x + 4

next, we move the terms.

3x - 7x = 4 + 12

then, we collect like terms and calculate.

-4x = 16

finally, we divide both sides.

x = -4

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

someone help me please
13x+7
9x+9

Answers

Answer:

x= 1/2

Step-by-step explanation:

13x+7 and 9x+9 with x inserted in both equal 13.5

(if the equation was 13x+7=9x+9)

13x+7=91 and 9x+9=81

I can quite figure out how to go about this problem l, we are writing equations by defining a variable, writing an equation, then solving ​

Answers

Answer:

14 ft

Step-by-step explanation:

Let x represent the number of segments of the divided wood beam

Let y represent the total length of the wood beam.

Given that each segment measures 3.5, the equation to express this scenario is given as

y = 3.5x

Thus, to find the length of the wood beam, substitute x = 4 into the equation.

We would have:

y = 3.5(4)

y = 14

Length of the wood beam = 14 ft

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?

Answers

Your answer would be eight

Simplify
Plsss hurry

Answers

Answer:

imma say the third one

Step-by-step explanation:

sorry if wrong

The number of red marbles in a jar is 3 times the number of blue marbles

There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?

Answers

Answer:

I think this is the answer

9 blue marbles

3x=27

The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let b represents the number of blue marbles.

r represents number of red marbles in jar.

The number of red marbles in a jar is 3 times the number of blue marbles.

r=3b

There are 27 red marbles and b blue marbles.

27=3b

To find the number of blue marbles we have to solve the above equation.

Divide both sides by 3

27/3=3b/3

9=b

Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

a bucket was 2/5 filled with water. a farmer then fills the bucket with another 4/10 more water. what fraction of the bucket is now full?

Answers

Answer:

8/10

Step-by-step explanation:

Type the correct answer in the box. Figure 1 is similar to figure 2. The height of the cone in figure 2 is centimeters.
On Plato!!!

Answers

The height of the cone in figure 2 is 4.5 centimeters.

Similar figure

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two cone are similar. Let h represent the height of the cone in figure 2, hence:

h/3 = 12/8

h = 4.5 cm

The height of the cone in figure 2 is 4.5 centimeters.

Find out more on Similar figure at: https://brainly.com/question/4014697

Answer:

4.5

Step-by-step explanation:

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Answers

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

What is the simple interest earned when the principal is $3050, the rate is 6% and 3 years?

Answers

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

Which ratio is equivalent to 1 : 8

Answers

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

Mitzy earned $3,156 last year at her weekend job, but realized after the year was over that her employer did not deduct any FICA from her paychecks. How much should she have paid in FICA taxes for her earnings last year? How much should she have paid in Social Security tax? How much should she have paid in Medicare tax? Together, they make up FICA. How much should she have paid in FICA?

Answers

PLEASE HELP, I need help with this too !!

Explanation:
Other Questions
Write the answer(Its a riddle lol)If your right I mark brainliest ;) What Saint does Gabriel think he talks to? When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.GIVING BRAINLIST PLEASE ANSWER CORRECT!!! FalseTrue Kevin's boat was wrecked by hurricane Harvey (a federally declared natural disaster). Damage to the boat was estimated at $30,000. The original cost was $25,000. The boat was partially insured, and Kevin received an insurance reimbursement of $15,000. Kevin's adjusted gross income is $50,000, and he had no other losses during the year. What amount can Keith deduct on his tax return for this year what figurative language is: "his heart racing" cos 2 * (x/2) = (sec(x) + 1)/(2sec(x)) Compare the two fractions using , or =. 1/2 1/4 What are some "topics" to be considered when discussing the California CurrentEcosystem In the Byzantine Empire, an iconoclast was someone whowanted icons destroyedBthought icons were just finemade icons out of metalDwas famous enough to be worshippedpleasee hurry its due in 7mins 10. Find the rate of change in the table below.Show all work.18202224y4.555.56 What is the solution to the equation? 13 3/4+X= 7 1/ 4 (GIVING BRAINLIEST!!)Which statement about oceans is incorrect?A) Evaporation occurs when water is warmed by the sun.B) Most evaporation and precipitation occur over the ocean.C) 97 percent of Earth's water is fresh water from the ocean.D) Water leaves the ocean by the process of evaporation. Imagine being barefoot outside on a hot summer's day in a sunny place ,wouldyou rather be standing on concrete or grass? Why? The diagram shows a square with a perimeter of 20 cm.Not drawnaccuratelyEight of these squares fit together to make a rectangle.Not drawnaccuratelyWhat is the perimeter of the rectangle? Sometimes I live when i look online and see what is going on also not just that i like online will not that good. What do you have to say about it.. The attempt by Radical Republicans to remove President Andrew Johnson from office failed when __________.a.African Americans in Congress announced they would not participate in the processb.Robert E. Lee publicly supported Johnsonc.he announced that he would not seek re-electiond.the Senate failed by one vote to convict him 5.05 3DFiguresDimensions: 6 in. tall, 12 in. Long, 12 in. wideSurface area: 576 square unitsSurface area of the box if it was scaled up by a factor of 10: Volume:Volume if scaled down by a factor of $1/10$: Write one to two sentences explaining why it is important to give reasons to support a claim.(2 points) If the data below were represented by a comparative bar chart, the barrepresenting which of these would be the tallest?A. Left-handed girlsB. Right-handed boysC. Right-handed girlsD. Left-handed boys if you were a manager how can you help your company maintain its its competitive edge? essay