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arsen [322]
3 years ago
11

Given the WXYZ, what is the measure of Z?

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0
C. 35 degrees because it is congruent to angle X
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Question 12
soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4}  \\\\Gas \: \:left = 12 \frac{3}{4}  \: \:gallons \\\\

Therefore, the remaining gas in the tank is 12\frac{3}{4} gallons.

Alternatively:

1 - \frac{3}{4}  = \frac{1}{4}

Amount of gasoline consumed = \frac{1}{4} \times 17 =  \frac{17}{4}

Amount of gasoline left = total - consumed

Amount of gasoline left = 17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons

6 0
3 years ago
Helppp ..
leva [86]

Answer:

h(x) =  3(x - 5)^2 + 6.

Step-by-step explanation:

g(x) = 3x^2 + 8

Shifting 5 units to the right gives:

3(x - 5)^2 + 8

Now 2 units down :

3(x - 5)^2 + 8 - 2

= 3(x - 5)^2 + 6.

5 0
2 years ago
Read 2 more answers
What is x+3y=6 what is the x
Ymorist [56]
X=-3y+6 That is the answer.
3 0
3 years ago
Solve the inequality.<br> -12 &lt; 1/2(x+16) &lt; 18
lana66690 [7]

Answer:

-40 < x < 20

Step-by-step explanation:

step 1: -12 < 1/2(x+16) < 18 --> Distribute

step 2: -12 < 1/2x + 8 < 18 --> subtract 8

step 3: -20 < 1/2x < 10 --> Multiply by 2

answer : -40 < x < 20

3 0
2 years ago
To earn an A in an algebra course, a student must have a test average of at least 90. Mary has grades of 95, 82, 88 on her first
Fofino [41]

Answer: Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

Step-by-step explanation:

Let x be the grades scored by Mary in the fourth algebra test.

Mary has grades of 95, 82, 88 on her first three algebra tests.

Then, the combined scores in four test will become = 95+82+88+x =  265+x

Average score = (Sum of all scores) ÷ (Number of tests)

=\dfrac{265+x}{4}

As per given ,

To earn an A in an algebra course, a student must have a test average of at least 90.

i.e. Average score ≥ 90

\Rightarrow\ \dfrac{265+x}{4}\geq90\\\\\Rightarrow\ 265+x\geq 90\times4=360\\\\\Rightarrow\ x\geq360-265 =95\\\\\Rightarrow\ x\geq90

Hence, Mary need to make at-least 95 on her fourth test to earn an A in her algebra course.

5 0
2 years ago
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