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Yakvenalex [24]
2 years ago
8

Find the value of Z for the triangles

Mathematics
1 answer:
kolbaska11 [484]2 years ago
4 0

Answer:

z = 17.5

Step-by-step explanation:

segment RX is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\frac{RS}{RT} = \frac{SX}{TX} , substitute values

\frac{15}{z} = \frac{6}{7} ( cross- multiply )

6z = 105 ( divide both sides by 6 )

z = 17.5

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For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
iragen [17]

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

4 0
3 years ago
4 (1/2x 7) = 12. what is x. can someone do the whole answer with the work?
alina1380 [7]
4(1/2x7)=12 <=> x28/2=12
x=12*2/28=24/28=12/14=6/7
8 0
3 years ago
Simplify the following by removing the brackets: a (b-c)+d (b-c)<br>​
netineya [11]

Answer:

ab - ac + db - dc

Step-by-step explanation:

you distribute the variables inside the parenthesis

4 0
2 years ago
What is 7 devided by 215 and the reminder of it​
miss Akunina [59]

30 with the remainder of 714

6 0
3 years ago
Whitch coordinate pair is the best estimate of the point of intersection in thisgraph 30 point
egoroff_w [7]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
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