All categories

2 years ago

What is the value of x?

Mathematics

2 answers:

denis-greek [22]2 years ago

8 0

Answer:

x = 17

Step-by-step explanation:

Hi there!

Because this is an isosceles triangle, we know that the angles measuring (x+17°) and (4x+34°) are congruent. Knowing this, we can set up the following equation and solve for x:

x+17 = 4x-34

17 = 3x-34

0 = 3x-51

3x = 51

x = 17

Therefore, the value of x is 17.

I hope this helps!

Vsevolod [243]2 years ago

6 0

Answer:

x = 17°

Explanation:

A triangle has total 180° interior angle.

When all angle sum up, they equal to 180°

There are two methods for solving this question:

→ x + 17 + 6x + 10 + 4x - 34 = 180°

→ 11x -7 = 180°

→ 11x = 180° + 7°

→ 11x = 187°

→ x = (187/11)°

→ x = 17°

As the triangle is isosceles, the angles are similar:

x + 17° = 4x - 34°

4x - x = 17° + 34°

3x = 51°

x = 17°

[ Hence x is 17° confirmed ]

You might be interested in

my friend and i made balls of snow all morning. by night fall we had build 13 snowmen. how many balls of snow did we make

Zigmanuir [339]

Answer:

Step-by-step explanation:

113x3=39

4 0

3 years ago

Read 2 more answers

-129 = -48 - n Thank you

Flauer [41]

−129=−48−n

Simplify:

−129=−48+−n

Flip the equation.

−n−48=−129

Add 48 to both sides.

−n−48+48=−129+48

−n=−81

Divide both sides by -1.

−n/−1 = −81/−1

n=81

3 0

3 years ago

A quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line. The pencils ha

amm1812

Answer:

The P-value you would use to test the claim that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of 17.9 cm. Given that the population standard deviation is 0.25 cm.

Let $\mu$ = population mean length of pencils produced in that factory.

So, Null Hypothesis, $H_0$ : $\mu$ = 18.0 cm {means that the population mean of pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 18.0 cm {means that the population mean of pencils produced in that factory have a mean length different from 18.0 cm}