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Sergeeva-Olga [200]
2 years ago
12

What is the length of AC? What is the measure of angle A? What is the measure of angle B?

Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

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Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.

Expression  is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.

Letters mailed in January=y

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Letters mailed in March=10+(y+3y)/2

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Amount of mailing of letters in March=0.37(10+2y)

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Determine whether each of the following pairs of angles have equal measures.
Hatshy [7]

The pairs of angles that  have equal measures are:

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The pairs of angles that do not  have equal measures are:

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<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Both MJK and  PJR can be seen as (Unequal angles)

The angle MJK  is ( 90 degrees), then  angle PJR will be ( 48 + 46 )= 94 degrees

Both LJP and NJR  can be seen as ( Equal angles)

The measure of angle LJP = 48 + 46 + 48 = 142 degrees

The measure of angle NJR = 48 + 48 + 46 = 142 degrees

KJR & MJP = Unequal

The angle KJR will now be [ 360 - (46+48+48+46+90) ]

= 82 degrees

The  angle MJP  will be ( 94 degrees)

Both KJL & LJM  are Unequal, then

The angle KJL  will be  42 degrees, then angle LJM  will be ( 90 - 42 )

= 48 degrees

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CHECK THE COMPLETE QUESTION BELOW:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair

of angles into the correct catagory to show which pairs have equal measures.

MO

N

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42°

48°

46°

R

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ZLJP and ZNJR

ZKJR and ZMJP

MJP and ZPJR

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There are 8 times as many females as males on the maths course at university. What fraction
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