Answers
Answer:
Step-by-step explanation:
∠1 = 180° - 88° = 92°
∠5 = 81° (alternate interior angles)
∠4 = 180° - ( 81° + 64° ) = 35°
∠3 = 180° - ( 81° + 35° ) = 64°
∠2 = 88° - 64° = 24°
Answer:
1. 92°
2. 24°
3. 64°
4. 35°
5. 81°
Step-by-step explanation:
1.
180 - 88 = 92°
5.
81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)
4.
Sum of angles in a triangle = 180°
∠4 + 88 + 64 = 180
∠4 = 35°
3.
Linear pair = 180°
∠3 + 81 + 35 = 180
∠3 = 180 - 81 - 35
∠3 = 64°
2.
Sum of angles in a triangle = 180°
∠2 + 92 + 64 = 180°
∠2 = 24°
Related Questions
Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.
Answers
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal
Answers
Answer:
Step-by-step explanation:
Given
A metal block has a mass = 60kg
volume = 0.5 meter cube
Solution
Density=masala volume
Density=60/0.5
Density of the metal=120kg/m^3
compare linear and nonlinear functions
Answers
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.
I hope this helped :)
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answers
Answer:
Step-by-step explanation:
7
help please anyone?
giving brainliestt
Answers
Answer:
School Y = 4 points
School X = 12 points
Step-by-step explanation:
school x=school y+8
school x=3 school y
x=y+8
x=3y
3y=y+8
2y=8
y=4
x=12
What is the equation of the line?
Answers
y=-3x-3
Explanation:
If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day
Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?
Answers
Answer:
Step-by-step explanation:
We can use the markdown formula to solve this question because it is the same type of problem.
= R x P
1. = 500 x 0.04
= 20
2. 500 - 20
= 480
I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!
Key: R = Percentage Rate P = Original Price
7. In order to join a dance team, the team requires a one-time $30 startup fee to cover uniforms as well as a monthly fee of $4. What is the slope of this scenario?
Answers
Answer: the slope is 34
Step-by-step explanation:
At Dustin's Hats, 10 out of the 25 hats at the store are baseball caps. What percentage of hats at the store are baseball caps?
Answers
Answer:
BaseBall hats: 40%
Other Hats: 60%
Step-by-step explanation:
10/25= baseball hats or: 10*4: 25*4: 40/100: 40%
15/25= other hats: 15*4/25*4=60/100/ 60%
So 40% are baseball caps
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Answers
9514 1404 393
Answer:
Each strawberry contains 4 calories
Step-by-step explanation:
The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.
Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).
The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.
The appropriate choice is ...
Each strawberry contains 4 calories
Answer:
its 4 calories, A
Step-by-step explanation:
i just got it right on edge
iven: PA = PC and BA = BC. Use the diagram to find the length described.
Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?
pabc
AC is
cm in length.
Answers
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[tex]BA = BC = 12[/tex]
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[tex]AC = BA + BC[/tex]
[tex]AC = 12 + 12[/tex]
[tex]AC = 24[/tex]
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What is the expected value of the random variable with the given probability distribution? If necessary, round your answer to the nearest hundreth.
A) 0.62
B) 1.62
C) 3.70
D) 4.33
Answers
EX: 4.33
Match each graph with the function it represents
Answers
Answer:
where is the graphs? We cannot help without the graphd
As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answers
Answer:
48km
5miles = 8km
×6 = ×6
30miles= 48km
Simplfy 7xy + 8x + 5xy + 6x
Answers
Answer:
12xy+14x
Step-by-step explanation:
12xy+14x
Hope this helps :3
Answer:
12xy + 14x
Step-by-step explanation:
I believer this is correct
Please choose all that apply!
Answers
Please mark brainlist!
What is the slope of y=-5+4xy=−5+4xy, equals, minus, 5, plus, 4, x?
Answers
Answer:
-5/4
Step-by-step explanation:
The slope of a line y=4x-5 is 4.
The equation of a line is y=-5+4x.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
The standard form of equation of line is y=mx+c
m is a slope of a line and c is y-intercept
Compare the equation y=4x-5 with y=mx+c, we get m=4
Therefore, the slope of a line y=4x-5 is 4.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answers
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?
Answers
Answer:
7
Step-by-step explanation:
42/6 = 7
The proof that UX ≅ SV is shown.
Given: △STU an equilateral triangle
∠TXU ≅ ∠TVS
Prove: UX ≅ SV
Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.
What is the missing statement in the proof?
Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Mark this and return
Answers
Answer:
D
Step-by-step explanation:
Edge
Answer:
D
Step-by-step explanation:
A quarter of five less than a number is no more than a third of five more than the same number.
Which of the following inequalities fits the description above?
(1 point)
14(x−5)≤13(x+5)
14(5−x)≤13(5+x)
14×5−x≤13×5+x
x−14×5≤x+13×5
Answers
Answer:
I am pretty sure its a... im doing the same thing and i am kinda thinking its that.
Step-by-step explanation:
please help this is the only question im stuck on
Answers
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answers
This can be rounded up to $220.90
Hope this helps :)
Answer:
$220.88
Step-by-step explanation:
If the scale on a map is = inches/feet 2/10 , how would the following lengths be represented?
a. 15 feet b. 30 feet c. 55 feet
Answers
Answer:
Read below
Step-by-step explanation:
a)3 inches
b)6 inches
c)11 inches
Just cross multiply stuff and boom, those are your answers.
complete factorization for -20x - 5y
Answers
Answer:
-5 (4x+y)
Step-by-step explanation:
Factor out -5, and -20/-5=4, -5/-5=1.
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
Answers
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
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(sinA + cosA)/ (secA + cosecA) = sinA* cosA
Answers
Answer:
Proof below
Step-by-step explanation:
Trigonometric Identities
We'll prove that:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]
Recall:
[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]
[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]
Applying those definitions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]
Adding the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]
Dividing the fractions:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]
Simplifying:
[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]
Hence proved
How do you write 66% as a decimal?
Answers
Answer:
0.66
Hope this helps!
Answer:
0.66
Step-by-step explanation:
Move the decimal twice to the left whenever you try to convert a percent to a decimal
1/4(z 3z) 7=−z 1 please help with this ive been stuck
Answers
Answer:
z=0
Step-by-step explanation:
if the equation was 1/4(3z)7=-1z
helppppppppppppppp plzzzzzzzzzzzzzz
Answers
Answer: 15w
Step-by-step explanation: