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2 years ago

What is the value of x? A. 142 B. 152 C. 76 D. 71

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

8 0

Answer:

x has a value of 71, making D the correct answer.

Step-by-step explanation:

Because this is an isosceles triangle, we know that the bottom two angles are equal. We also know that the sum of the angles inside a triangle will always come to 180°. With that in mind, we can simply subtract 38° from 180° and divide by two to get the correct answer.

$x = (180 - 38) / 2\\= 142 / 2\\= 71$

So the correct answer is D, 71 degrees.

You might be interested in

Given the function f(x)=4|x-5|+3 for what values of x is f(x)=15

Andreyy89

Answer:

{2, 8}

Step-by-step explanation:

We want to find x for ...

15 = 4|x -5| +3

12 = 4|x -5| . . . . subtract 3

3 = |x -5| . . . . . . divide by 4

±3 = x -5 . . . . . . show the meaning of absolute value

5 ±3 = x = {2, 8} . . . . . add 5

The values of x for which f(x) = 15 are 2 and 8.

3 0

3 years ago

Kail Ryans 10 laps around the track each day each lap around the track is 400 m meters how many times around the track will she

Semmy [17]

Hello

1 km = 1000 m

12 km = 12,000 m

Each day, she runs 10 * 400 m = 4000 m

12,000 m / 4000 m = 3

It will take 3 days.

Have a nice day

5 0

3 years ago

Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

7 0

3 years ago

1. Two triangles have the following congruence statement: ACGI = AMPR Name all 6 pairs of corresponding congruent parts. 1.

rodikova [14]

Answer:

$\angle C \cong \angle M$

$\angle G \cong \angle P$

$\angle I \cong \angle R$

$\overline{CG} \cong \overline{MP}$

$\overline{GI} \cong \overline{PR}$

$\overline{CI} \cong \overline{MR}$

Step-by-step explanation:

Given the congruence statement ∆CGI $\cong$ ∆MPR, it follows that the corresponding sides of both ∆s are equal, as well as the corresponding vertices or angles. It implies that ∆CGI and ∆MPR are of the same shape and size.

✅Thus, the 6 pairs of the corresponding congruent parts of ∆CGI and ∆MPR are:

$\angle C \cong \angle M$

$\angle G \cong \angle P$

$\angle I \cong \angle R$

$\overline{CG} \cong \overline{MP}$

$\overline{GI} \cong \overline{PR}$

$\overline{CI} \cong \overline{MR}$

3 0

3 years ago

Simplify the expression completely 125 1/3

Roman55 [17]

<h3>I'll teach you how to solve 125 1/3</h3>

---------------------------------------------------

125 1/3

Convert mixed numbers to improper fractions:

125 1/3=

125*3+1/3=

376/3

Your Answer Is 376/3

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3 0

3 years ago