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3 years ago

△RQS is similar to △TQU by the AA similarity postulate. What is the measure of angle R ?

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

Answer:

60°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

∠R + 88° + 32° = 180°

∠R = 60° . . . . . . subtract 120° from both sides of the equation

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a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats

ella [17]

Answer:

there are 84 seats in the second to the last row

Step-by-step explanation:

Given that

each row has two fewer seats than the row behind it

It means that

if first row has x seats then

no of seat in second row has (x-2) seats.

and similarly

no of seat in third row =no of seat in second row - 2seats.

no of seat in third row = (x-2) seat - 2 seats = x - 4 seats

_____________________________________________

Given that

last row has 80 seats

let the number of seat in first to the last row be x

then number of seat in last row = x-2

we know number of seat in last row = 80

thus

x - 2 = 80

x = 82

Thus,

the number of seat in first to the last row is 82

Similarly let the number of seat in second to the last row be y

then number of seat in first to the last row = y-2

since number of seat in first to the last row is 82

thus

y-2 = 82

y = 82 + 2 = 84

Thus, there are 84 seats in the second to the last row.

_________________________________________________

8 0

4 years ago

Can you please help me I need help with this question it’s for my test

kodGreya [7K]

Answer:

y=3

Step-by-step explanation:

Assuming this is an enlargement where EFGH is enlarged to ABCD then the former is the object and the latter is the image. If so then

scale factor(k) of the enlargement=image length/corresponding object length

k=3/2

Therefore, y=4.5/k

y=4.5/(3/2)

y=3

If we take the assumption another way and say ABCD is reduced to EFGH then the former is the object and the latter is the image.

In that case,

k=⅔

y=4.5×k

y=3

In either case y=3units

7 0

3 years ago

Help me calculate Lim for this lesson

steposvetlana [31]

Answer:

I'm acutally not too sure on this but give me a moment to solve this

Step-by-step explanation:

7 0

3 years ago

Here's an easy question for easy points.

mote1985 [20]

Answer:

Step-by-step explanation:

I am so smart yay duh

6 0

3 years ago

Read 2 more answers

Landon babysits and works part time. He babysat for 3 hours and worked at the water park for 10 hours and made 109$. Next week h

vovangra [49]

Answer:

$10.5 and $7.75

Step-by-step explanation:

Let Landon's hourly rate at babysitting job be $x$ and at water park be $y$

now, for the first week Landon babysat for 3 hours and worked at the water park for 10 hours and made 109$.

⇒ $3x + 10y = 109$ ....(1)

Next week Landon babysat for 8 hours and worked at the water park for 12 hours and made 177$.

⇒ $8x + 12y = 177$ ....(2)

From equation (2) we get

$y = \frac{177 - 8x}{12}$ ....(3)

Substituting value of $x$ from equation (3) to equation (1) we get

$x = 10.5$

Using value of x in equation (1) we get

$y = 7.75$

Hence hourly rate for Landon for babysitting job is $10.5 and for water park job is $7.75

6 0

3 years ago