1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anygoal [31]
3 years ago
8

Geometry picture added

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
X and Z equal 72
Y equals 108.

This is because y and 108° are vertex angles meaning they are both equal to each other. X is 72 because it’s form a supplementary angle with 108°. So what I did to find x is I subtracted 108 from 180 to get 72°. Then I know x and z are vertex angles meaning that z is also equal to 72°
You might be interested in
172.7=3.14d <br> Solve for d
Serga [27]

Answer:

55

Step-by-step explanation:

Divide both sides by 3.14 to get d by itself.

172.7 / 3.14 = 55 = d

4 0
3 years ago
Tell whether the given number is a solution of each question. ( Must show work for credit)
guajiro [1.7K]

Answer/Step-by-step explanation:

1. 9 = 2a + 3 ; 3

Let's solve for a.

9 - 3 = 2a (subtraction property of equality)

6 = 2a

\frac{6}{2} = a (division property of equality)

3 = a

a = 3

Therefore, 3 is a solution to 9 = 2a + 3

2. 5n - (-30) = 5 ; 7

5n + 30 = 5 (- × - = +)

5n = 5 - 30 (Subtraction property of equality)

5n = -25

\frac{5n}{5} = \frac{-25}{5} (division property of equality)

n = -5

Therefore, 7 is not a solution of 5n - (-30) = 5

3. 4.4r - 2.8 = 1.6 ; 1

4.4r = 1.6 + 2.8

4.4r = 4.4

\frac{4.4r}{4.4} = \frac{4.4}{4.4}

r = 1

Therefore, 1 is a solution of 4.4r - 2.8 = 1.6.

5 0
3 years ago
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
3 years ago
Read 2 more answers
Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w
BartSMP [9]

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = \frac{88 - 16}{5 - -1} = 12

Taking another point (x ,y) on the line;

Slope is \frac{y - 16}{x - -1} = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

3 0
3 years ago
Simplify: (3n2 +9+5n4 – 3n)+(-9n* - 7 -5n?)
Alona [7]

Answer:

3n^2+9+5n^4+55n

Step-by-step explanation:

Steps

$\left(3n^2+9+5n^4-3n\right)+\left(-9n\left(-7\right)-5n\right)$

$\mathrm{Remove\:parentheses}:\quad\left(a\right)=a,\:-\left(-a\right)=a$

$=3n^2+9+5n^4-3n+9n\cdot\:7-5n$

$\mathrm{Add\:similar\:elements:}\:-3n-5n=-8n$

$=3n^2+9+5n^4-8n+9\cdot\:7n$

$\mathrm{Multiply\:the\:numbers:}\:9\cdot\:7=63$

$=3n^2+9+5n^4-8n+63n$

$\mathrm{Add\:similar\:elements:}\:-8n+63n=55n$

$=3n^2+9+5n^4+55n$

7 0
3 years ago
Other questions:
  • Holly missed 7 out of 185 school days this year. Approximately what percent of school days was holly in attendance?
    5·1 answer
  • Write 12/15 in the simplest form
    5·2 answers
  • Helppppppppppppppppp
    11·1 answer
  • Hanako goes to the movies with 2 friends.
    7·1 answer
  • mr tan buys 4 white pine trees and 5 birch trees what is the vost of the trees show your work and explain how you found answer n
    13·1 answer
  • Graph x^2+9y^2=25. what are the domain and range?
    11·1 answer
  • Solve.<br> X = -7<br> 4x - 4y = 12<br> (x,y)
    10·1 answer
  • Translate each equation. Do not solve.<br> The quotient of a number increased by 4 and -3 is 15
    12·1 answer
  • What is the area of the parallelogram?
    15·1 answer
  • What does the product of the two circled numbers (3 and 7) represent? ​​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!