Answer:
Step-by-step explanation:
Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that
m∠ DAB + 133 + 22 = 180
m∠ DAB = 180 - 155 = 25 degrees
Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,
m∠ A = m∠ B
Therefore,
m∠ A + m∠ B + angle D = 180
m∠ A + m∠ B = 180 - 22 × 2
m∠ A + m∠ B = 180 - 44 = 136
m∠ A = m∠ B = 136/2 = 68 degrees
m∠ CAB + m∠ DAB = m∠ A
Therefore,
m∠ CAB = 68 - 25 = 43 degrees
Since ∆ ABC is isosceles, then
m∠ CAB = m∠ ACB
m∠ ACB = 43 degrees
m∠ ABC = 180 - (43 × 2) = 180 - 86
m∠ ABC = 94 degrees
m∠ BCD = 68 - m∠ ACB
m∠ BCD = 68 - 43 = 25 degrees
<h2>ANSWER:</h2>
_______________________________________________________
Answer is x = 6
_______________________________________________________
<h2>EXPLANATION:</h2>
_______________________________________________________
We know that 7 - 1 is 6. 6 is what x equals because 7 - 1 is 6 and 6 + 1 is equal to 7.
Hope this helps!
Answer:
y= -3.5x+57.5.
Step-by-step explanation:
<u>Answer:</u>
x = 0.417 or x = -0.917
<u>Step-by-step explanation:</u>
We are given the following expression and we are to solve it for the variable x:

We will find the least common multiple of 2. 6 and 9:

Simplifying it to get:



Using the quadratic formula to solve for x:


or 
or 
Answer:
Step-by-step explanation:
Top/Bottom = 12
Sides = 15
Front/Back = 20
20 + 15 + 12 = 47
47 / 1/2 = 23.5