The value of x is 27°.
Solution:
Given 
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
yes
Step-by-step explanation:
The right answer is B.
The first step to answering this question is combining all like terms.
A. 2x + 2 + 2x + 3x - 8
The like terms in this expression are the x terms and the constants
So, what you would do is combine all of the x terms and combine all of the constants
(2x + 2x +3x) + (2 - 8)
7x - 6
B. 4 + 7x - 2
In this expression, you would combine all of the constants
7x + (4 - 2)
7x + 2
C. -2 + 5x + 2x - 4
For this expression, you would again, combine all of the x terms and all of the constants.
-2 + 5x + 2x - 4
(5x + 2x) + (-2 - 4)
7x - 6
D. 8x - x - 6
For this expression, you would combine all of the x terms
8x - x - 6
(8x - x) - 6
7x - 6
Now let's look at all of the new answer choices:
A. 7x - 6
B. 7x + 2
C. 7x - 6
D. 7x - 6
The question is asking you to find the one expression that's different. The only different one is B, so that's the answer.
Answer:
120
Step-by-step explanation:
87.5% of what number is 105?
87.5%=0.875
105/0.875=120
Answer:
I would just use the coupon
Step-by-step explanation:
Because why pay the whole price for three gifts just to get one for free when i could just use a coupon and get that one gifts 20% off the regular price
