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2 years ago

Find m∠H. Put the answer below. m∠H =

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

6 0

Answer:

30°

Step-by-step explanation:

$\tan (m\angle H) = \frac{IJ}{JH} \\ \\ \implies \: \tan (m\angle H) = \frac{ \sqrt{10} }{ \sqrt{30} } \\ \\\implies \: \tan (m\angle H) = \frac{{1} }{ \sqrt{3} } \\ \\ \implies \: \tan (m\angle H) = \tan 30 \degree \\ \\ \implies \: m\angle H = \boxed{30} \degree$

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2 years ago

Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling

MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

C. We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2. Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

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3 years ago

Find X to solve to problem and find all the angles

sesenic [268]

Answer:

Step-by-step explanation:

x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )

2x + 90° = 180°

2x = 90°

x = 45

now

<A = 45°

< B = x + 65° = 45 °+ 65 °= 110°

< C = 25°

Hope it helps :)

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3 years ago