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Elza [17]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

x is equal to 27

Step-by-step explanation:

To find this, start by making a proportion. In order to do so, you need to set it up using the smaller triangle on the right and the larger triangle on the left.

39/x = 65/(x + 18)

Now cross multiply to solve.

65*x = 39(x + 18)

65x = 39x + 702

26x = 702

x = 27

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Answer:

  1. The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.
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Number 6

Answer:

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Step-by-step explanation:

ax + by = c

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y = (c - ax)/b

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80 pages

Step-by-step explanation:

x = number of pages of articles

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3 years ago
A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
Amanda [17]

Answer:

The measure of the third arc is 150\°

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

x=\frac{7}{3}y -----> equation B

Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

84\°=(\frac{4}{3}y)

y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

z=360\°-(147\°+63\°)=150\°

3 0
3 years ago
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