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Viktor [21]
3 years ago
9

Find the value of x.

Mathematics
1 answer:
Leona [35]3 years ago
3 0

This is an isosceles triangle. Therefore, at the base we have congruent angles (look at the picture).

We have the equation:

(5x + 13)° + (3x + 7)° = 180°

5x + 13 + 3x + 7 = 180    <em>combine like terms</em>

(5x + 3x) + (13 + 7) = 180

8x + 20 = 180     <em>subtract 20 from both sides</em>

8x = 160      <em>divide both sides by 8</em>

<h3>x = 20</h3>

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Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice.
In-s [12.5K]

Answer:

Beatrice's age is 34

Step-by-step explanation:

Beatruce = B

Andrew = B+2

Chris= B-3

B+(B+2) +(B-3 )= 67-B

3B-1 = 67-B

2B -1 = 67

2B= 68

B = 34

Beatrice is 34

Andrew is 36   (34+2)

Chris is 31 (34-3)

36+31 = 67

6 0
2 years ago
The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then f
Shkiper50 [21]

Answer:A) 8 miles

Step-by-step explanation:

8 miles

7 0
2 years ago
The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What
solmaris [256]
<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

  • Perimeter of rectangle = 72 cm
  • The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

  • Dimensions of rectangle
<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}

<u>Let,</u>

  • Length of Rectangle = x cm
  • Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

  • <u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
  • <u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

7 0
3 years ago
Pls help, and hurry. i will give anyone brainliest if you give the correct answer.
Anna11 [10]

Answer:

Two answers:

22 ≥ v

OR

v ≤ 22

Step-by-step explanation:

It's the same as solving for a variable in an equality. Imagine it as 17 = v - 5 for a moment. Simplify by subtracting 5 from both sides and re-add the inequality sign. This can be easily done since we are not multiplying or dividing, just adding and subtracting.

4 0
3 years ago
A recipe for sugar cookies requires 2 cups of flour for every 2/3 cups of sugar at this rate how many cups of sugar should be us
maks197457 [2]
The answer would be 5/3 or 1 2/3
4 0
3 years ago
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