Answer:
5) 106°
6)
7) 46°
8) 102°
Step-by-step explanation:
Find the measure of the angle indicated in bold.
We are to find x
5) This follows the rule of Alternate Interior angles
= 12x + 10 = 13x + 2
Collect like terms
= 10 - 2 = 13x - 12x
= 8 = x
x = 8
The angle indicated in bold = (13x + 2)°
= 13 × 8 + 2
= 104 + 2
= 106°
6) This follows the rules of consecutive interior angles
x - 70 + 130 + x = 180
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
7)This follows the rule of Alternate Interior angles
22x + 2 = 21x + 6
Collect like terms
22x - 21x = 6 - 2
x = 4
The angle in bold is (22x + 2)°
Hence,
(22 × 2 + 2)°
44 + 2 = 46°
The measure of the angle is 46°
8) This follows the rule of corresponding angles
13x + 11 = 14x + 4
Collect like terms
11 - 4 = 14x - 13x
7 = x
x = 7
The angle in bold is (14x + 4) °
(14 × 7 + 4)°
=( 98 + 4)°
= 102°
A,d,b, and then c ,basically least to greatest
Solution 1: 5(x) + 3(y) = 35
Solution 2: -5(x) - (y) = -15
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Your graphic organizer↓
-5(y) + 5(x) = 35
(y) - 5(x) = -15
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Let's work with y-intercept with the absolute value of |2|
So, 15 becomes a positive number instead of a negative number
→So, (y) = -5(x) + 15
→Make sure you bring into the "x-intercept"& the "y-intercept" into the equation for the first solution
5(x) + 3(-5x) + 15 = 35
-10(x) = -10
10(x) = 10
x-intercept =1
y-intercept = 10
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Make sure that we are correct with intercepts by these quick steps!
y = -5(x) + 15
Y= 5(x) +15
y= 5(1) + 15 = 10
So, we are correct with the x and y-intercept
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x-intercept = 1 y-intercept = 10
Plug it into a good ol graphing calculator. I suggest desmos