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4 years ago

Drag a statement or reason to each box to complete this proof.

Mathematics

1 answer:

ololo11 [35]4 years ago

5 0

Answers:

1) -3(x + 8) = -21

2) Division Property of Equality

3) x + 8 = 7

4) Subtraction Property of Equality

Reasoning:

You are already given the equation, so that will be #1 in the Given.

#2 shows both sides being divided by -3, so you will put the Division Property of Equality.

#3 shows the Division Property after it is carried out, so you will put the equation after the division is done.

#4 shows you are subtracting 8 from both sides, so put the Subtraction Property of Equality.

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Answer ASAP please! ✨

Marysya12 [62]

Answer:

a=6m

Step-by-step explanation:

5 0

3 years ago

Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest

Anton [14]

Answer:

a) ∠ABC = 54°

a) ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

$\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}$

$\implies \sf BD=24.3\cos (38^{\circ})$

Use the cos trig ratio and the found length of BD to find angle ABD:

$\sf \implies \cos(ABD)=\dfrac{BD}{19.9}$

$\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)$

$\sf \implies \angle ABD=15.79446612...^{\circ}$

Therefore:

$\sf \implies \angle ABC=\angle ADB + 38^{\circ}$

$\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}$

$\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)$

Part (b)

Use the tan trig ratio to find angle CAD:

$\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}$

$\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)$

$\implies \sf \angle CAD=33.5110188...^{\circ}$

Therefore:

$\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}$

$\sf \implies \angle BAD=46.5110188...^{\circ}$

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

$\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}$

$\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}$

$\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)$

4 0

3 years ago

What is (2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)

zhenek [66]

Answer:

-20.2m -11.8

Step-by-step explanation:

(2y + 14.6m + 3.8) – (34.8m + 15.6 + 2y)

Distribute the minus sign

(2y + 14.6m + 3.8) – 34.8m - 15.6 - 2y

I like to line them up vertically

2y + 14.6m + 3.8

– 2y -34.8m - 15.6

------------------------------

-20.2m -11.8

4 0

4 years ago

Find the value of y

Rainbow [258]

You'll apply the geometric mean formula. The idea is to multiply the two pieces of the hypotenuse: 5*11 = 55

Then apply the square root to get sqrt(55)

The exact answer in terms of radicals or square roots is sqrt(55)

Using a calculator, the approximate answer is sqrt(55) = 7.416198

If your teacher wants you to use a proportion, then one way to do it is to have
11/y = y/5
11*5 = y*y
55 = y^2
y^2 = 55
y = sqrt(55)
y = 7.416198 approximately

4 0

4 years ago

Round four point seven six to one decimal place

Alex

4.76 rounded to one decimal place is 4.8~

3 0

3 years ago