Given. <1 and <2 are supplements , <3 and <4 are supplements, and <1 = <4
Prove : <2 = <3
Answers
8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!
Related Questions
Evaluate: (ƒ − g)(−2)
Answers
From the graph,
f(-2) = 0
and, g(-2) = 0
(ƒ − g)(−2)= f(-2)-g(-2) = 0
OPTION B is the correct answer
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 80° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle. what is the measure of the first angle?
Answers
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be a, b, and c.
The measure of the first angle is twice the measure of the second angle. In other words:
[tex]a=2b[/tex]
The measure of the third angle is 80° more than the measure of the second angle. In other words:
[tex]c=b+80[/tex]
And since the interior angles of a triangle must equal 180°:
[tex]a+b+c=180[/tex]
Substitute a and c:
[tex](2b)+b+(b+80)=180[/tex]
Combine like terms:
[tex]4b+80=180[/tex]
Subtract 80 from both sides:
[tex]4b=100[/tex]
And divide both sides by four:
[tex]b=25^\circ[/tex]
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)
(5/8 + 3/4) divided by (-2/3 - 5/6)
Answers
Answer:
[tex]-\frac{11}{12}[/tex]
Step-by-step explanation:
[tex](\frac{5}{8}+ \frac{3}{4} )/(-\frac{2}{3} -\frac{5}{6})[/tex]
8 = 2 × 2 × 2
4 = 2 × 2
LCM = 2 × 2 × 2
LCM = 8
3 = 3 × 1
6 = 2 × 3
LCM = 2 × 3 × 1
LCM = 6
[tex](\frac{5}{8}+ \frac{2(3)}{2(4)} )/(-\frac{2(2)}{2(3)} -\frac{5}{6})[/tex]
[tex](\frac{5}{8}+ \frac{6}{8} )/(-\frac{4}{6} -\frac{5}{6})[/tex]
[tex]\frac{11}{8}/(-\frac{4}{6} -\frac{5}{6})[/tex]
[tex]\frac{11}{8}/-\frac{9}{6}[/tex]
[tex]\frac{11}{8}(-\frac{6}{9})[/tex]
[tex]-\frac{66}{72}[/tex]
66 = 2 × 3 × 11
72 = 2 × 2 × 2 × 3 × 3
GCF = 2 × 3
GCF = 6
[tex]-\frac{66/6}{72/6}[/tex]
[tex]-\frac{11}{12}[/tex]
Given m||n, find the value of x
Answers
Answer:
(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110
∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180
∘
(Angles on the same side of the transversal are supplementary)
110
∘
+∠GHD=180
∘
∠GHD=180
∘
−110
∘
=70
∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100
∘
An object dropped from a height of 500 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=500−16t^2. Express t as a function of height h, and find the time to reach a height of 100 feet
Answers
Step-by-step explanation:
the answer is in the above image
Which graph shows the line y = 4x-2?
BDC/A
O
A. Graph A
O B. Graph C
O C. Graph D
O D. Graph B
Answers
On Monday 34% of the children who usually attend the nursery were absent.
29 children attended the nursery on Monday.
How many children would usually be at the nursery on Monday?
Answers
1% of 29 first.
Then do the 1% x 100 = answer
The number of children that would usually be around at the Nursery on Monday are; 24 Children
How to work with percentages?We are given;
Percentage of children that were absent = 34%
Number of children that attend on Monday = 29
Thus;
Number of children that are absent on Monday = 34% * 29
Number of children that are absent on Monday ≈ 10
Thus;
Number of children that would be around on Monday = 34 - 10 = 24 children
Read more about Percentages at; https://brainly.com/question/11360390
#SPJ6
30 POINTS NO CAP PUT REALL STUFF
If it takes Laine 3 hours to wash the windows of one house, Leslie 4 hours to wash the same windows, and Lance 5 hours to wash the same windows, how long would it take them all working together to wash the windows on THREE houses?
3.8 hours
2.6 hours
5 hours
0.08 hours
Answers
Answer:
The answer would be C. 5 Hours
Step-by-step explanation:
Hopes this helps and good luck :)
Can any one help?
Solve the following equations:
Answers
Answer:
2- x=16/3 or 5.3
4- x=8
Step-by-step explanation:
yeah
Which measure of central tendency best describes the data set below?
{0, 80, 85, 88, 90, 95}
A. the mean, 73
B. the mode, none
C. the range, 95
D. the median, 86.5
Answers
Answer:
The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.
Step-by-step explanation:
d point is the answer
Answer:
D) The median, 86.5
Step-by-step explanation:
Most of the data is clustered in the 80s. Therefore, D is correct.
The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle
1. (12,12) (6,7) (24,3)
2. (4,12) (6,21) (8,0)
3. (12,4) (18,7) (24,0)
4. (12,12) (18,21) (24,0)
Answers
Answer:
(12, 12), (18, 21), (24, 0)
Step-by-step explanation:
To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.
The vertices of the new triangle is:
4. (12,12) (18,21) (24,0)
What are the vertices of the new triangle?We have:
The vertices of a triangle: (4, 4) (6,7) and (8,0)
We dilate the triangle by a scale factor of 3
To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:
3 * (4, 4) => (12, 12)
3 * (6, 7) => (18, 21)
3 * (8,0) => (24, 0)
Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)
Learn more about dilation on:
brainly.com/question/28956841
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John shot 30 baskets in 5 minutes. At this rate how many minutes will it take him to shoot 90 baskets? What are the 2 units you are comparing?
Answers
Ans5 and 2
Step-by-step explanation:
(Will mark brainlest ) help me to find the value of x or theta (step by step)
Answers
Answer:
X = 6
Step-by-step explanation:
sin○ = opposite side/hypotenuse
sin 45 = 3 root2/x
1/root2 = 3 root2/x
x = 3 × 2
x = 6
Answer:
x=6 cm
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]
do cross multiplication
[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]
x=6
If given two triangles, which condition (s) can be used to prove it the two triangles are identical
Answers
Answer:
d. all of the above
Step-by-step explanation:
_______
When Joseph walks to school, he always walks through City Park along the
way. He lives on the corner of Elm Street and Oak Street, both of which go
directly to the Park. From the park to school, Joseph can walk along Riverside
Drive, Hilltop Way, or Park Street. How many different routes are there from
Joseph's house to his school?
Answers
Explanation:
There are 2 paths he can take from his house to the park.
There are 3 paths he can take from the park to school
Overall, there are 2*3 = 6 routes in all. It might help to form a tree diagram to see all 6 possible paths.
Solve for b. b= V [?] 12 5 b Pythagorean Theorem: a2 + b2 = c2 Enter
Answers
[tex]\huge\bold{Given:}[/tex]
Length of the perpendicular "[tex]a[/tex]" = 5.
Length of the hypotenuse "[tex]c[/tex]" = 12.
[tex]\huge\bold{To\:find:}[/tex]
The length of the missing side ''[tex]b[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The length of the missing side (base) "[tex]b[/tex]" is [tex]\boxed{√119}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢ {a}^{2} + {b}^{2} = {c}^{2} \\\\ ⇢ {5}^{2} + {b}^{2} = {12}^{2} \\ \\⇢25 + {b}^{2} = 144 \\ \\⇢ {b}^{2} = 144 - 25 \\ \\⇢ {b}^{2} = 119 \\ \\⇢b = \sqrt{119} [/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"b"\:is\:√119.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex] {5}^{2} + { \sqrt{119} }^{2} = {12}^{2} \\\\ ⇝25 + 119 = 144 \\ \\⇝144 = 144 \\ \\⇝L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
(6a + 6) + (3x - 2) + (2a + 4)
Answers
Answer:
8a+8+3x
Step-by-step explanation:
Just plus them! Nothing so harsh
Answer:
6a + 6 + 3x-2 + 2a +4=
= 6a +2a+3x+6-2+4=
= 8a+3x+8
Step-by-step explanation:
1. remove the () since the actions within them cannot be solved.
2.find the sum
(Functions and Relations) Answer getting brainliest!!
Answers
Answer:
D
Step-by-step explanation:
Have a nice day
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
contain a cuckoo egg. If three passerine nests are checked, what is the probability that
at least two of them contain a cuckoo egg?
Answers
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
2 1/3 - (-5) =
what does it equal
Answers
Answer:
7 1/3
Step-by-step explanation:
See image below:)
Someone please help me?
Answers
4 1/2 inches is 4 inches and 1.27 cm.
Round off 72.8 to the nearest 2 significant figures?
Answers
Answer:
73
Step-by-step explanation:
I don't think this needs an explanation
Answer:
73
Step-by-step explanation:
72.8
8 is greater than or equal to 5, so we round up.
72.8 ≈ 73
Hope this helps.
Can someone please help me?
Answers
Answer:
A
Step-by-step explanation:
to find the inverse, there are two steps
1-interchange x and y
2-solve for y
so y=x+1/x
interchange to get x=y+1/y
and solving for y we multiply both sides by y to get xy=y+1
subtract both sides by y yielding xy-y=1
factor out y to get y(x-1)=1
then divide to get y=1/x-1
The Howards bought a $224,000 townhome. They made a down payment of $45,000 and took out a mortgage for the rest. Over the course of 30 years they
made monthly payments of $1073.21 on their mortgage until it was paid off.
th
total amount they ended un naying for the townhome
Answers
1 year = 12 months.
30 years x 12 months per year = 360 total months
Multiply total months by monthly payment:
360 months x 1,073.21 per month = $386,355.60 total monthly payments for 30 years.
Now add the down payment to the total monthly amount:
$386,355.60 + $45,000 = $431,355.60
Total amount paid: $431,355.60
Researchers at a medical school conducted a study to test the effectiveness of a new drug for lowering cholesterol. The 52 subjects who volunteered for the study were each given a randomly generated number. Subjects with an odd number were given the new drug, while those with an even number were given a placebo. Cholesterol levels before and after the treatment were measured for each subject, and the differences were computed.
This study is an example of ______________ study. The difference in cholesterol level is _____________ the variable. The treatment with drug or placebo is the ____________ variable.
Answers
Answer:
1. An Experimental
2. Dependent
3. Independent
Step-by-step explanation:
Considering the description of how the research was carried out, it can be concluded that This study is an example of AN EXPERIMENTAL study. This because the researcher is trying to study the effectiveness of a new drug for lowering cholesterol
The difference in cholesterol level is the DEPENDENT variable. This is because the difference in cholesterol level is what the researcher wants to determine.
The treatment with a drug or placebo is the INDEPENDENT variable. This is because this is what the researcher manipulates to determine the difference in cholesterol level which is the dependent variable in this experimental study.
One side of a triangle is 3 times longer than the shortest side and the third side is 4 centimeters longer than the shortest side. The perimeter of the triangle is 64.
How long is the shortest side of the triangle?
Answers
Answer:
First side is: 12cm
Second side is: 36cm
Third side is: 16cm
Step-by-step explanation:
Let x represent the shorter side
Then 3x represents the second side, and
x + 4 represents the third side.
Perimeter of three sides:
P = x + 3x + (x + 4)
Perimeter is 64, so
64 = x + 3x + (x + 4)
64 = 5x + 4
60 = 5x
12 = x
First side is x: 12cm
Second side is 3x: 3(12) = 36cm
Third side is x + 4: 12 + 4 = 16cm
Select the correct answer. How does the risk of needing insurance impact the cost of premlums? А. In some cases, higher risk results in lower costs. B. Higher risk always results in lower costs.
C. Higher risk always results in higher costs.
D In some cases, higher risk results in higher costs.
Answers
Answer:
A
Step-by-step explanation:
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answers
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
What is the image point of (1,-7) after the transformation T-3,-1 degrees R180 degrees?
Answers
Answer:
first hust rotate 180 and next reflect it over x axis.
the given point (-7,3) id in second quadrant but after rotation it will be in fourth quadrant.
afterwards you have to refect that point over x-axis which gives you the image of the points on first quadrant ie. (7,1).
Solve for the value of v
Answers
Answer:
v = 9 because it is what would make a great answer
Step-by-step explanation:
the angles are supplementary, meaning it sums up to 180 degrees
so to find v, you have to find the total angle of v.
180- 105 equals 8v+3, or 75 equals 8v+3
subtract 75 with 3 leaving 72 equals 8v
v would equal 9
