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Paha777 [63]
3 years ago
7

What is the value of z? ( please help)

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

z = 1

Step-by-step explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,  

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

⇒ z = 1 (Answer)

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Maslowich

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80 is the answer :)

6 0
3 years ago
Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

Factor out the common term; 3

(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

3^2(x + 1)^2 = 36

Simplify 3^2 to 9

9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

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Collect all solutions;

<u>x = 1, -3</u>

8 0
3 years ago
−|9| = −9 True or False
Ket [755]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jaime drew the number line below to show 2/3 4/5. Explain how the number line shows 2/3 times 4/5. What is the product?
bearhunter [10]

Answer:

\frac{2}{3} * \frac{4}{5} = \frac{6}{15}

Step-by-step explanation:

Given

\frac{2}{3} * \frac{4}{5} =

The number line is missing from the question.

So, I will answer the question and also draw the number line to show the product.

\frac{2}{3} * \frac{4}{5} =

\frac{2}{3} * \frac{4}{5} = \frac{6}{15}

To represent this on a number line;

We draw a number line of 15 points, and place a dot on the 6th point.

This represents 6/15

See attachment

8 0
3 years ago
2. Which of these are solutions to the equation 2x3 = 54?
cricket20 [7]
The answer is C. x=3 2(3)^3=54
5 0
3 years ago
Read 2 more answers
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