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2 years ago

Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:

Mathematics

1 answer:

Oliga [24]2 years ago

6 0

Answer:

Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.

From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.

Therefore, the justification to complete Jim's proof is "SAS postulate"

Step-by-step explanation:

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2 years ago

Round the fraction to 0, 1/2, or 1.<br><br><br><br> 9/10

marishachu [46]

Answer:

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Step-by-step explanation:

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3 years ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

$\sin\theta=\dfrac{h}{H}$

h is perpendicular and H is hypotenuse

So,

$\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}$

Now using Pythagoras theoerm,

$b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft$

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

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2 years ago

What’s the perimeter and area of 30ft and 18ft

kicyunya [14]

Answer: 42 and 54

Step-by-step explanation:

18+18=36

3+3=6

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3 years ago

Four times an angle is equal to half of its supplement. Find the measures of both angles.

denis-greek [22]

Answer:

The bigger angle is 144 degrees and the smaller one is 36 degrees

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