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1 year ago

Can you please help me with this two questions

Mathematics

1 answer:

Natali [406]1 year ago

3 0

Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

they are both right triangles

they share one side (AC)

their hypotenuse are parallel (marked by the arrows)

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

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A student solved for the radius of a circle with a circumference of 12π Step 1: C = 2 pi r. Step 2: 12 pi = 2 pi r. Step 3: Star

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Answer:

The student made a mistake in step 4

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Step-by-step explanation:

Let us write each step to find the radius of a circle from its circumference

Step 1:

∵ C = 2πr

∵ C = 12π

Step 2:

Equate 12π by 2πr

∴ 12π = 2πr

Step 3:

Divide both sides by 2π

∵ $\frac{12\pi }{2\pi }=\frac{2\pi r}{2\pi }$

Step 4:

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∴ The radius of the circle is 6 cm

The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r

Step 4:

∴ 6 = πr

So he divided both sides again by π

Step 5:

∵ $\frac{6}{\pi }=\frac{\pi r}{\pi }$

Step 7:

∴ $\frac{6}{\pi }$ = r

The student made a mistake in step 4

The length of the radius should be 6 cm

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2 years ago

Read 2 more answers

Can you please help me with this two questions ​

Can you please help me with this two questions