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3 years ago

HELP ME PLS I NEED TO PASS THIS TEST OR I FAIL 8TH GRADE

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

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Solve for "x":
x + 4y = 24
x + 16 = 24
x = 8
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Solution: (8,4)

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∆abc is isosceles, ab = bc, and ch is an altitude. how long is ac, if ch = 84 cm and m∠hbc = m∠bac +m∠bch?

Tems11 [23]

Given that ∆abc is isosceles and ab = bc, then m<bac = m<acb and m<hbc = 180 - m<bac - m<acb

Given that m∠hbc = m∠bac +m∠bch, then m<hbc + m<bch = m<bac + 2m<bch

But m<hbc + m<bch = 90°, thus 90° = m<bac + 2m<bch

Also, m∠bac + m∠ach = 90° ⇒ m<bac + 2m<bch = m<bac + m<ach ⇒ 2m<bch = m<ach

Since, Δabc is isosceles with ab = bc ⇒ m<bac = m<acb.

Also, m<acb = m<ach + m<bch ⇒ m<acb = 3m<bch = m<bac

Since m<bch : m<ach = 1 : 2 ⇒ bh : ah = 1 : 2

Thus, $bh:bc:ch=1:3:\sqrt{8}$

Given that ch = 84 cm, then

$\frac{bc}{ch} = \frac{bc}{84} = \frac{3}{\sqrt{8}} \\ \\ \Rightarrow bc= \frac{3\times84}{\sqrt{8}} =63\sqrt{2}=ab$

Now, $ah= \frac{2}{3} (63\sqrt{2})=42\sqrt{2}$

$ac= \sqrt{ch^2+ah^2} \\ \\ = \sqrt{84^2+(42\sqrt{2})^2} \\ \\ = \sqrt{7056+3528} = \sqrt{10584} \\ \\ =42\sqrt{6}$

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3 years ago

What is m∠N? A. 19° B. 68° C. 95° D. 112°

Gennadij [26K]

It would be B. 68

I hope this help!

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3 years ago

Which is bigger? 1/3 foot or 5 inches? It can also be equal.

zhannawk [14.2K]

5 inches is bigger than 1/3 foot OR 1/3 foot is lesser than 5 inches. That is, 1/3 foot < 5 inches

4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards

8 yards is equal to 24 feet. That is, 8 yards = 24 feet

<h3>Calculating the value of a quantity </h3>

From the question, we are to determine which of the given quantities are bigger or equal

1/3 foot or 5 inches

NOTE: 1 foot = 12 inches

If 1 foot = 12 inches

Then,

1/3 foot = 1/3 × 12

1/3 foot = 4 inches

∴ 5 inches is bigger than 1/3 foot. That is, 1/3 foot < 5 inches

4 miles or 7,000 yards.

NOTE: 1 mile = 1760 yards

If 1 mile = 1760 yards

Then,

4 miles = 4 ×1760 yards

4 miles = 7040 yards

Hence, 4 miles is bigger than 7000 yards. That is, 4 miles > 7000 yards

8 yards or 24 feet

NOTE: 1 yard = 3 feet

If 1 yard = 3 feet

Then,

8 yards = 8 × 3 feet

8 yards = 24 feet

Hence, 8 yards is equal to 24 feet. That is, 8 yards = 24 feet

Learn more on Calculating the values of quantities here: brainly.com/question/400890

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2 years ago

The legs of a right triangle are four units and 7 units what is the length of the hypotenuse

alexdok [17]

This is where Pythagorean's Theorem comes into play. a^2+b^2=c^2
So take 4^2 + 7^2 (which is 16+49), and your result is 65. Take the square root of 65 and you get 8.06 (8.1 rounded up)

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Sladkaya [172]

D. x > 5
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3 years ago

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