Answer:
-4x+7= -21
-4x= -21-7( this positive 7 will change to negative as we take in other side )
-4x = -28
Both the negative will be cancelled
4x = 28
x = 28/4
X = 7
therefore the X value is 7
The measure of the side SQ from the given diagram is 19/6
<h3>Similar shapes</h3>
Similar shapes are shapes that has equal length and equal side measures and angles.
From the given diagram, the measure of the sides TSis congruent to SP and the measure of MS is congruent to SQ.
Using the expression below to determine the value of x
MS/ST = SQ/SP
Given the following parameters
MS =30
ST = 10
SQ = 6x-1
SP = 3 - 2x
Substitute the given parameters into the formula to have:
30/10 = 6x-1/3-2x
Cross multiply
10(6x-1) = 30(3-2x)
Expand
60x - 10 = 90 - 60x
60x + 60x = 90 + 10
120x = 100
x = 10/12
x = 5/6
Determine the measure of SQ
SQ = 6x - 1
SQ = 5(5/6) - 1
SQ = 25/6 - 1
SQ = 19/6
Hence the measure of the side SQ from the given diagram is 19/6
Learn more on similar triangles here: brainly.com/question/4163594
#SPJ1
Answer:
The slope of the two points is 2.
A hunting license is not a from of tax it is a form of license that allows you to hunt game and only costs each time for renewal of the right
<span />
Answer:
84%
Step-by-step explanation:
The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.
Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:
68% + 16% = 84%.