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Sloan [31]
3 years ago
9

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

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HELP PLEASE
frozen [14]

Answer:

it would take seven and a half hours

Step-by-step explanation:

450 ÷60 =7.5

8 0
3 years ago
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3
Mademuasel [1]

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

8 0
3 years ago
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
bonufazy [111]

Year      New flowers

1                 1200

2                 300

3                   75

There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year

Initially there are 1200 flowers and start decreasing by \frac{1}{4}

So first term is 1200 and common ratio is \frac{1}{4}.

Its a geometric sequence so summation becomes

i =1∑ ∞ 1200(\frac{1}{4})^{i-1}

Now we find the sum

We use sum formula

Sum = \frac{a}{1-r}

Where a is the first term , a= 1200

r is the common ratio , r= 1/4

Sum = \frac{1200}{1-(\frac{1}{4})}

Sum = \frac{1200}{\frac{3}{4}}

Sum = 1600 wildflowers

4 0
3 years ago
PLEASE HELP ME!!!
Harman [31]
Send a better photo or tell me what I’m suppose to be answering
8 0
3 years ago
PLS HELP (they are not the same question)
Rufina [12.5K]

Our products and services can vary by state, based on local laws and regulations. Please select your state to get the most accurate information about the products and services we offer near you.

7 0
2 years ago
Read 2 more answers
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