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zvonat [6]
3 years ago
14

The angle measurements in the diagram are represented by the following expression

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

  1. A=B(alternate angle r equal)
  2. 8x-10=3x+90
  3. 8x-3x=90+10
  4. 5x=100
  5. x=100/5
  6. x=20

hope it helps.

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A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no m
Eduardwww [97]

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 \approx 6

Hence, 6 games needed to be rented each month.

6 0
3 years ago
THE table shows the number of pages blaine read for different times. How many pages will blaine read in 42 minutes?
Mkey [24]

Answer:

126 pages

Step-by-step explanation:

From the table, we know that Blaine can read 6 pages in 2 minutes. Therefore, Blaine can read \frac{6}{2}=3 pages per minute. Therefore, Blaine can read 42*3=126 pages in 42 minutes. Hope this helps!

8 0
3 years ago
A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
6 0
3 years ago
A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?
erica [24]

Answer:

x = 30

Step-by-step explanation:

Plug in 56 in place of  y, then solve for x.

56 = 1.5x + 11

Subtract 11.

45 = 1.5x

Divide both sides by 1.5.

45/1.5 = x

30 = x

8 0
3 years ago
Read 2 more answers
Jemer lost his ball and decided to buy a new one. the new ball cost $300. which is three times the price of his old ball. how mu
shusha [124]

Answer:

The cost of the old ball was $100.

Step-by-step explanation:

The cost of the new ball = $300

The new ball has three times the price of his old ball.

So, let the price of the old ball be = x

As per situation, we get the equation:

3x=300

Dividing both sides by 3:

\frac{3x}{3}= \frac{300}{3}

=> x = 100

Hence, the cost of the old ball was $100.

8 0
3 years ago
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