Answer:
x= 77
Step-by-step explanation:
The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.
180-122= 58 degrees
Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.
Let's use this info to find the degree at the top.
58+58= 116
There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.
180-116= 64 degrees
And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.
90-64= 26 degrees
And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.
180-26= 154 degrees.
And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.
154/2= 77 degrees.
Your answer is 77 degrees.
Answer:
yes
Step-by-step explanation:
1. Distributive Property.
<span>4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20
2. Combine like terms
12a + 28 + 6a + 20
18a +48
The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent.
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Answer:
C. When the equations -10x + 5y = -60 and -3x − 5y = -5 are added together, a third linear equation, -13x = -65, is formed, and it shares a common solution with the original equations.
Step-by-step explanation:
2x-y=12
-3x-5y=-5
multiply the first equation by -5
-10x +5y = -60
add the 2 equations together
-3x-5y=-5
-10x +5y = -60
-------------------------
-13x = -65
We use the addition property of equality which says adding the same thing to both sides, doesn't change the equation, so we will get the same answer as the original equation
