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enot [183]
3 years ago
15

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Mathematics
2 answers:
andrew11 [14]3 years ago
7 0
Given that QO is the radius and PQ is tangent to circle O, then ΔPQO is a right triangle. Hence the value of x will be obtained as follows:
Sum of angles in a triangle is equal to 180°. Thus
x+17+90=180
x+107=180
thus
x=180-107
x=73°

Answer: x=73°
faltersainse [42]3 years ago
5 0
The answer is 78................................
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The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
I am Lyosha [343]

Answer:

w = \frac{p -2l}{2}

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\frac{p -2l}{2} = w

5 0
2 years ago
What is the coefficient of x in the expression?<br><br> 6x + 9y + 15z
givi [52]

Answer: 6

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

In this case we want to find the coefficient that has x. 6 is the only coefficient in the expression 6x + 9y + 15z that has the coefficient of x.

Basically, a coefficient is simply a number that has a variable after it.

6 0
3 years ago
Read 2 more answers
The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c =
avanturin [10]
Given:

The function, f(x) = -2x^2 + x + 5

Quadratic equation: 0 = -2x^2 + x +5
where a = -2
            b = 1
            c = 5

The discriminate b^2 - 4ac = 41

To solve for the zeros of the quadratic function, use this formula:

x = ( -b +-√ (b^2 - 4ac) ) / 2a

x = ( 1 + √41 ) / 4  or 1.85
x = ( 1 - √41 ) / 4  or -1.35

Therefore, the zeros of the quadratic equation are 1.85 and -1.35. 
4 0
3 years ago
Read 2 more answers
1. Which angle is congruent to ∠1 ?
Nonamiya [84]
The angles that are congruent to one are 4,5, and 8. So the answer would be B. 5.
5 0
3 years ago
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If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?
Anvisha [2.4K]

<em><u>Question:</u></em>

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

<em><u>Answer:</u></em>

The constant of proportionality is 250

<em><u>Solution:</u></em>

Given that,

y varies inversely with the square of r

Which means,

y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250

Thus the constant of proportionality is 250

6 0
3 years ago
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