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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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Simplify the expression:<br> 2a+4b=9c
fomenos

Answer:

a=\frac{9c}{2}-b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0
2 years ago
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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games
Amanda [17]

Answer:

y=-3x+48

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: y=mx+b, where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: m=\frac{y_2-y_1}{x_2-x_1},

m=\frac{21-33}{9-5}

m=\frac{-12}{4}=-3

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

33=-3\cdot 5+b    

33=-15+b    

33+15=b    

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Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

y=-3x+48

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6 0
3 years ago
2m-8-m+10 solve it.
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Step-by-step explanation:

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4 0
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Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account
telo118 [61]

Answer:

A(t) = 200+15t(1+0.02)^{t}

Step-by-step explanation:

Since the interest is calculated on the new balance every year.

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r = rate each year (0.02)

t = time (in years) (t)

n = no. of times the interest is compounded in a year (n=1)

Therefore, the recursive formula is:

A(t) = 200+15t(1+0.02)^{t}

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3 years ago
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