Answer:
b
Step-by-step explanation:
you use desmos to help you graph or for calculations (that's what I use lol)
Solve for x.......................
2 answers:
Answer:
D) x = 40.5
Step-by-step explanation:
When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.
The left side of the larger triangle is 12 + 15, so it is 27.
The left side of the smaller triangle is 12.
So, part of the proportion will be
The bottom side of the larger triangle is x.
The bottom side of the smaller triangle is 18.
So, part of the proportion will be
The full proportion will be:
Cross multiply and solve for x.
27(18) = 12x
486 = 12x
40.5 = x
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Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
a. The solution is (0,2)
b. The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.
Step-by-step explanation:
Given equations are:
a. Solution
Putting y = 5x+2 in equation 2
Putting x = 0 in equation 1
Hence,
The solution is (0,2)
b: Reason:
The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.
Keywords: Linear equation, substitution
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