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Step2247 [10]
3 years ago
13

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Keep in mind both of these angles are equal to each other meaning the equation will have a = So...

4x+7=5(x-4)

Now multiply 5 to x and 4

4x+7=5x-20

Now subtract 4x from 5x

7=1x-20

Now add  20 to both sides

27=x

So x=27

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What is the midpoint of QR. Q(2,4) and R(-3,9)
Eduardwww [97]

Answer:

The answer is

( -  \frac{1}{2}  \: , \:  \frac{13}{2})  \\

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

M = ( \frac{2 - 3}{2}  \:  , \:  \frac{9 + 4}{2} ) \\

We have the final answer as

( -  \frac{1}{2}  \: , \:  \frac{13}{2})  \\

Hope this helps you

6 0
3 years ago
In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.
Irina-Kira [14]
Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

c^{2} = a^{2} + b^{2} - 2abcosC

Rearranging this equation, we can find the value ∠C as shown below.

\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}
C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})

We can apply the same reasoning for finding the value of ∠B as shown.

B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})
C \approx 37.19

B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})
B \approx 53.13

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0
4 years ago
Read 2 more answers
Admission to the fair costs $8.75. Each ride costs $0.50 to ride. You can spend at most $16. Write and solve an inequality to re
sergij07 [2.7K]
8.75 + 0.50 =9.25 dollars spend but she has 16 dollars so 16 - 9.25 = 6.75 dollars left
5 0
3 years ago
What is the horizontal asymptote of f(x)=-2x/x+1<br> A.-2<br> B.-1<br> C.0<br> D.1
Mrrafil [7]
A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case, 
\lim_{x \to \infty}  \frac{-2x}{x+1} = \lim_{x \to \infty}  \frac{-2x}{x(1+ \frac{1}{x} )}\\&#10;=\lim_{x \to \infty}  \frac{-2}{1+ \frac{1}{x} }\\&#10;= -2&#10;

Thus, the horizontal asymptote of f(x) is y = –2.
7 0
3 years ago
Read 2 more answers
What are the coordinates of a point that is 7 strides west of (2,-1)
Marat540 [252]
(-5,-1) would be the coordinates since the only thing we’re changing by moving west is that we’re subtracting from the x value. Therefore, 2-7 is -5 so we get -5,-1
4 0
3 years ago
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