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IgorLugansk [536]
3 years ago
6

Solve for r -4(r+6)= -49

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer: r= 25/3

Step-by-step explanation:

r-4(r+6)=-49 distribute the 4

r-4r-24=-49 combine like terms

-3r-24=-49 add 24 to both sides

-3r=-25 divide by -3

r= 25/3 answer

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Answer the Blanks:
vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

m\angle ADC=90^{\circ}

2. ∠CDB is a right ange, because CD⊥AB, so

m\angle CDB=90^{\circ}

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}

4. By Angle Addition Postulate,

m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}

6 0
3 years ago
I need some help, with my algebra ​
Viktor [21]

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

5 0
3 years ago
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2. Tyler can type 50 words per minute. He needs to finish typing his 500-word
nikdorinn [45]

Answer:

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Step-by-step explanation:

500 - 25 = 50x

x  = \frac{475}{50}

x = 9.5 minute

6 0
2 years ago
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