Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer:
1. -40=12x+8 : x=-4
2. -4x+2≥-6x : x≥−1
3. -11≤7x+3 : x≥−2
Step-by-step explanation:
1. Step 1: Flip the equation.
12x+8=−40
Step 2: Subtract 8 from both sides.
12x+8−8=−40−8
12x=−48
Step 3: Divide both sides by 12.
12x
12=−48
12
x=−4
3. Step 1: Flip the equation.
7x+3≥−11
Step 2: Subtract 3 from both sides.
7x+3−3≥−11−3
7x≥−14
Step 3: Divide both sides by 7.
7x
7
≥
−14
7
x≥−2
Answer:
B.46
Step-by-step explanation:
88+y+y=180
2y=92
y=46
The mean is 36.4 to verify what the other person is saying :)
Answer:
Concept: Mathematical Derivation
- We are given x^2 +6x+2x+12
- Hence we simplify: x^2 + 8x +12
- Now we factor: (x+2)(x+6)
- By mathematical logic we now proved that the roots are x=-2 and x=-6
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