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3 years ago

Please hurry it's a test Find m∠ABC

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

3 0

Answer:

m∠ABC = 75°

Step-by-step explanation:

From the figure attached,

Three lines intersect each other at point B.

Angles formed at B are collinear.

By the property of collinear angles at a point,

Sum of all angles formed on a straight line at the point B = 180°

(3x - 6)° + (2x + 25)° + (x + 11)° = 180°

6x + 30 = 180

6x = 150

x = 25

Since, m∠ABC = (2x + 25)°

= (2×25) + 25

= 75°

Therefore, measure of angle ABC = 75° will be the answer.

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Jorge makes 59.50 an hour for working at a Shoe Store. He wants to buy a skateboard that costs $110,00. How many hours must Jorg

siniylev [52]

Answer:

2 hours

Step-by-step explanation:

Since he gets 59.50 every hour you'll need to see how much 59.50 can go into 110$

So, 110/59.50 = 1.8487395

You can then round this number up.

Since he's paid by the hour he'll need to work 2 hours but he'll still have a bit of money left over

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3 years ago

A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2

sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Step-by-step explanation:

Considering the following information

$1$ cup = $1$ cup

$7$ pints = $14$ cups ∵ $1$ pint = $2$ cups
$9$ quarts = $36$ cups ∵ $1$ quart = $4$ cups

So, total number of cups will be = $51$ cups

Converting $51$ to the base $2$

Divide $51$ by $2$ by repeatedly and observe remainder

$\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1$

$\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1$

$\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0$

$\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0$

$\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1$

$\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1$

Read and observe the remainder from top to bottom would yield $110011$ .

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base $2$ as $110011$ .

Keywords: base 2, number

Learn more about number bases from brainly.com/question/13725148

#learnwithBrainly

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3 years ago

GIVING BRAINLIEST ONLY IF CORRECT

mamaluj [8]

Step-by-step explanation:

$0.4 \div 0.2 = 2 \\✓ = option \: 3$

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3 years ago

Read 2 more answers

Use the figure to the right to find the value of PT. T is the midpoint of PQ.

o-na [289]

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

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3 years ago

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a caterer received an order to prepare 120 servings of salad for a banquet. Each serving will weigh 4 ounces. so far the caterer

Ugo [173]

To easier digest this question, we can multiply the 120 servings by 4 ounces to make it into a common unit of measurement. This way, we can compare ounces with ounces instead of ounces to servings.
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3 years ago