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sergiy2304 [10]
3 years ago
13

What is the value of z? Find the values of x, y, and

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

I think 25.5 degrees may be right answer

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In a triangle , the measures of the angles are x,x + 20 & 2x . What is the value of x ?
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X+x+20+2x=180
4x+20=180
4x=160
x=40
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3 years ago
A group of students sold 84 candles in 4 hours. At what unit rate were the candles being sold
lys-0071 [83]
The candies are being sold at a rate of 21 candies per hour
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4 years ago
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Find the correct values for the variables that make the statement cos(h)=x/y true.
Stels [109]

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

\angle F + \angle G + \angle H = 180^{\circ}

or

\angle H = 180^{\circ} -{\angle F + \angle G}

Substitute the given values from the given figure we have;

\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}

\angle H = 180^{\circ} -{123^{\circ}}

Simplify:

\angle H = 57^{\circ}

Given that:

\cos H = \frac{x}{y}

Using Cosine ratio:

\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

\cos 57^{\circ}= \frac{x}{80}

or

x = \cos 57^{\circ} \cdot 80  

x = 0.54463903501 \cdot 80 \approx 43.57 cm

Therefore, the value of :

H = 57^{\circ}

x = 43.57 cm

y = 80 cm





5 0
3 years ago
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John's car gets 25.3 miles per gallon. How many<br> miles can he drive on 11.7 gallons of gas?
bekas [8.4K]

Answer:

Multiply 25.3 by 11.7, to get the answer of 296.01

8 0
3 years ago
write and solve this equation: Samantha is one year less than twice her brother Jack’s age. If the sum of their ages is 41, how
Rufina [12.5K]

Answer:

Samantha's age = 27 years

Step-by-step explanation:

  • Let Jack's age be = x

As Samantha is one year less than twice her brother Jack’s age.

  • So Samantha's age = 2x-1

As the sum of their ages is 41.

Thus, the equation become

x+2x-1 = 41

3x-1 = 41

3x = 42

Dividing both sides by 3

x = 14

It indicates that Jack's age = 14 years

Therefore,

Samantha's age = 2x-1 = 2(14)-1 = 27 years

3 0
3 years ago
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