d. x = 2, DF = 7, EG = 7
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
We know that
∠ECD=∠ACB------> given in the problem
∠DEC=∠CAB------> 90°
so
∠EDC=∠ABC
therefore
triangles EDC and ABC are similar
<span>So
the ratio of the legs are equal</span>
the answer isAC is equal to 126
The statement, "the lateral surface area of cone A is exactly half of that of cylinder B" is: A. True.
<h3>What is the Lateral Surface Area of a Cone and a Cylinder?</h3>
Lateral surface area of cone = πrl
Lateral surface area of cylinder = 2πrh
Lateral surface area of cone A = πrl = πrh
Lateral surface area of cylinder B = 2πrh
This means the lateral surface area of cylinder B is twice that of cone A. Thus, lateral surface area of cone A is exactly half of that of cylinder B.
The answer is: A. True.
Learn more about the lateral surface area of a cone and cylinder on:
brainly.com/question/28071721
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Answer:
n =-19
Step-by-step explanation:
3* (n+7) = -36
Distribute
3n+21 = -36
Subtract 21 from each side
3n+21-21 = -36-21
3n = -57
Divide by 3
3n/3 = -57/3
n =-19
Answer:
1. 135°
2. 62°
3. 148°
4. 180-x
Step-by-step explanation:
Supplementary angles are two angles that add to 180 degrees (a straight line).
Therefore, subtract the angle measure they give you from 180.
Hope this helps!
