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2 years ago

What is the value of x?

Mathematics

1 answer:

romanna [79]2 years ago

5 0

Answer:

x = 8°

y = 6°

Step-by-step explanation:

Hello!

All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.

We can solve for x by setting the equation 7x+4 to 60.

<h3>Solve for x</h3>

7x + 4° = 60°
7x° = 56°
x = 8°

The value of x is 8°.

We can go ahead and solve for y by setting that equation to 60°.

<h3>Solve for y</h3>

8y + 12° = 60°
8y = 48°
y = 6°

The value of y is 6°.

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What is the prime factorization of 28 and 50?<br> Explain if possible.

dangina [55]

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

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3 0

2 years ago

Read 2 more answers

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

2 If m please help me

Nadusha1986 [10]

Answer:

x = 18

m∠HCB = 36

Step-by-step explanation:

The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:

8x + 2x = 180

10x = 180

Divide both sides of the equation by 10 to isolate the x:

10x/10 = 180/10

x = 18

Now that we know the value of x, we can find the measure of angle HCB:

2(18)

The measure of angle HCB is 36.

I hope this helps :)

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