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3 years ago

Plz, help 20 points: What are the measures of Angles a, b, and c? Show your work and explain your answers.

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

Answer:

a = 35°

b = 55°

c = 110°

Step-by-step explanation:

a = 35

(Vertically opposite angles)

b = 180 - 90 - 35

b = 55

(Total angle in a triangle is 180)

c = 180 - 70

c = 110

(Supplementary angles)

zheka24 [161]3 years ago

7 0

Answer:

a = 35°, b = 55°, and c = 110°

Step-by-step explanation:

Notice that angle a is a vertical angle with the angle marked 35 degrees. Vertical angles are those that are formed at the intersection of two lines. By definition, they are equivalent, so a = 35 degrees.

Angles a and b are part of a 90 degree, right triangle. Since all the angles of a triangle add up to 180, we can write: a + b + 90 = 180. Substitute 35 for a and solve for b:

35 + b + 90 = 180

b + 125 = 180

b = 55 degrees

Notice that angle c is on the same line as the angle marked 70 degrees. This means that these two angles are supplementary; in other words, they add up to 180. So: c + 70 = 180. Then, c = 110.

Thus, a = 35°, b = 55°, and c = 110°.

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X=2y-4<br>7x+5y=-66 <br> what is the x- value

Gwar [14]

Answer:

x = -8

Step-by-step explanation:

x = 2y - 4 --- Equation 1

7x + 5y = -66 --- Equation 2

I will be using the substitution method to solve this.

Substitute x = 2y - 4 into Equation 2:

7x + 5y = -66

7(2y - 4) + 5y = -66

Evaluate.

14y - 28 + 5y = -66

Evaluate like terms.

19y - 28 = -66

Isolate 19y.

19y = -66 + 28

= -38

Find y.

y = -38 ÷ 19

y = -2 --- Equation 3

Substitute y = -2 into Equation 1:

x = 2y - 4

x = 2(-2) - 4

Evaluate.

x = -4 - 4

x = -8

5 0

3 years ago

My homework says name a 2 digit odd number that is prime. name a 2 digit odd number that is composite.

lidiya [134]

2 digit meaning that it has 2 numbers. For example, 66 is a two digit number.
Now, they also said it must be prime, meaning that its factors can only be 1 and itself.
Also, it must be odd.

Answer: 67

Now, do the same, except the number must be composite, as meaning that it has other factors.

Answer: 21

5 0

3 years ago

Read 2 more answers

A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

$\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}$

Now, if we observe, $(1) \times 2 \rightarrow(2)$ multiplying the $1^{st}$ equation with 2 results in $2^{nd}$ equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, $\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }$