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kap26 [50]
3 years ago
5

Use the figure below to answer questions 10-11.

Mathematics
1 answer:
Anton [14]3 years ago
5 0

The two marked angles are complementary angles. This means that the angles are equal.

Hence, X + 1 = 2X - 3.

By rearranging, X = 4.

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Dr. Burger rides his bike to work in the mornings. Usually, he leaves his house at 8:20 and gets to the office at 9:00 riding at
Vika [28.1K]

Answer:

40 mph

Step-by-step explanation:

40 mins to bike usually, which means he bikes 10 miles. He needs to bike at a minimum of 10 miles in 15 mins, which translates to 40 miles in an hour.

P.S. He is going to surely be late.

8 0
2 years ago
Stodoła składa się z 1259 cegieł. Druga stodoła ma o 347 cegieł mniej. Trzecia ma o 567 cegieł więcej od pierwszej stodoły a czw
mel-nik [20]

Answer:

Second barn: 912 bricks

Third barn: 1826 bricks

Fourth barn: 1402 bricks

Step-by-step explanation:

(English question: The barn consists of 1259 bricks. The second barn has 347 bricks less. The third has 567 bricks more than the first barn and the fourth barn has 490 bricks more than the second barn. How many bricks consists of the second, third and fourth barn.)

If the second barn has 347 bricks less than the first barn, so the second barn has:

1259 - 347 = 912 bricks

The third barn has 567 bricks more than the first barn, so the third barn has:

1259 + 567 = 1826 bricks

The fourth barn has 490 bricks more than the second barn, so the fourth barn has:

912 + 490 = 1402 bricks

8 0
3 years ago
Which line of music shows a reflection?​
ra1l [238]
Is there a picture to this?
7 0
3 years ago
a mixture of peanuts and corn sells for P40 per kilo. The peanuts sell for P42 per kilo while the corn sells for P36 per kilo. h
Lelu [443]

Answer:

The weight of peanuts in the mixture   = 8  kg

The weight of corns in the given mixture = 4 kg

Step-by-step explanation:

Let us assume the weight of peanuts in the mixture   = x kg

The weight if corns in the given mixture = y kg

Total weight = (x + y) kg

The combined mixture weight = 12 kg

⇒ x  + y = 12  ..... (1)

Cost of per kg if mixture  = $ 40

So, the cost of (x + y) kg mixture  = (x+y) 40 = 40(x+ y)   ..... (2)

 

The cost of 1 kg of peanuts =  $ 42

So cost of x kg of peanuts  = 42 (x)  = 42 x

The cost of 1 kg of corns  = $ 36

So cost of y kg of corns  = 36 (y)  = 36 y

So, the total cost of x kg peanuts  + y kg corns =  42 x +  36 y  .... (3)

From (1) and (2), we get:

40(x+ y)  = 42 x +  36 y

x +  y = 12 ⇒ y = 12 -x

Put this in  40(x+ y)  = 42 x +  36 y

We get:

40(x+ 12 -x)  = 42 x +  36 (12 -x)

480 = 42 x + 432 - 36 x

or, 480 - 432 = 6 x

or, x  = 8

⇒ y = 12 -x = 12 - 8 = 4

⇒  y = 4

Hence, the weight of peanuts in the mixture   = 8  kg

The weight of corns in the given mixture = 4 kg

5 0
2 years ago
What’s the missing side round to the nearest tenth?
Step2247 [10]

Sine of angle = opposite ÷ hypotenuse

sin 20 = \frac{14}{x}

x = \frac{14}{sin 20}

x = 40.9 (rounded up to nearest tenth)

4 0
3 years ago
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