What is x + y = 12 if x = 2y
2 answers:
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y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>Step-by-step explanation:
Givens
- The diameter of the globe (sphere) is 30 centimeters,
- The box must has dimensions 30x30.
We need to find each volume to subtract them.
The difference betweem the box and the sphere is
Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.