3 years ago

Use the figure to decide the type of angle pair that describes ∠3 and ∠6.

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

Answer:

Same Side Exterior Angles

Step-by-step explanation:

They are on the same side of the line and both angles are exterior of the other two lines.

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If runners in a long distance race were to run straight from the starting line to the finish line they would run 13 kilometers.

tia_tia [17]

5^2 +x^2 = 13^2

25 + x^2 = 169

x^2 = 144

x = sqrt(144) = 12

they run west for 12 KM

12+5 = 17 total km

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3 years ago

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serious [3.7K]

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3 years ago

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KengaRu [80]

Answer:

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Mr. Adams has 14 boys and 8 girls in his mathematics class. If he chooses

scZoUnD [109]

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3 years ago

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

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3 years ago

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