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2 years ago

If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.

Mathematics

2 answers:

Bingel [31]2 years ago

7 0

I hope it will help you.

marysya [2.9K]2 years ago

7 0

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

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If f(x)=3x^2-2x+1 find f(-2)

SIZIF [17.4K]

Answer:

Step-by-step explanation:

3(-2)^2 - 2(-2) + 1

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2 years ago

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Find the absolute value.<br> |-120

Scilla [17]

Answer:

120

Step-by-step explanation:

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3 years ago

A farmer watered 3/7 of a field. What percentage is equivalent to the fraction of the field the farmer watered?

tatuchka [14]

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Step-by-step explanation:

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3 years ago

write the equation for the quadratic function that has the vertex at (1,3) and passes through the point (0,5)

Kisachek [45]

For this quadratic, its vertex form $f(x) = a(x-h)^2+k$ is $f(x) = a(x-1)^2+3$ .

To find the value of a, plug in (0,5) and solve.

$5 = a(0-1)^2+3 \\ a = 2$

The final equation in vertex form is $f(x) = 2(x-1)^2+3$ .

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3 years ago

Sarah went to the grocery store and bought bottles of soda and bottles of juice. Each

kow [346]

Answer:

5 numbers of soda bottles and 10 numbers of juice bottle was purchased.

Step-by-step explanation:

Let Sarah purchased x bottles of Soda and y bottles of Juice.

Each soda bottle contains 45 gm of sugar and each juice bottle contains 30 gm of sugar, and there is a total of 525 gm of sugar,

Hence, we can write 45x + 30y = 525, ⇒ 3x + 2y = 35 ...... (1)

Now, it is given that, she purchased 5 more bottles of juice than bottles of soda.

Hence, x + 5 = y, ⇒ x - y = - 5 ......... (2)

Now, solving equations (1) and (2) we get, 5x = 25, ⇒ x = 5

Hence,from equation (2), y = x + 5 = 10

Therefore, 5 numbers of soda bottles and 10 numbers of juice bottle was purchased. (Answer)

5 0

3 years ago