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°.
Step-by-step explanation:
The standard of a linear equation is Ax +By = CAx +By =C. rewrite the equation with the slides flippy. 3x +6 = y3 x + 6= y
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Answer:
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Answer:
Step-by-step explanation:
When we divide congruent sides of similar solids or plane figures we get the linear scale factor.
The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.
In this question, the linear scale factor will be 6/5
since we are asked to find the volume we cube the linear scale factor.
(6/5)³=216/125
to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown
(216/125)×300in³= 518.4in³
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
