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ratelena [41]
3 years ago
13

△ACD∼△GHD , m∠ADC=23∘ , and m∠C=31∘ . Two similar triangles. The first triangle has vertices DAC. Angle A is an obtuse angle. Th

e second triangle has vertices DGH. Angle G is an obtuse angle. The triangles meet at angle D forming a vertical angle. What is m∠G ? Enter your answer in the box. m∠G = °
Mathematics
1 answer:
iVinArrow [24]3 years ago
7 0

Answer:

126°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...

... ∠G + ∠H + ∠D = 180°

... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G

... 180° -54° = ∠G = 126°

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4 years ago
Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l
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Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = \frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

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