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ser-zykov [4K]
3 years ago
11

Y and Z are vertical angles Y=(2X + 7) Z=(4X - 17) value of x

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0
Vertical angles are equal to each other, so to solve this, you can set the angle measures equal to each other and solve for x.

        Z = Y             Replace X and Y with their values
4x - 17 = 2x + 7     Isolate the value. Start by adding 17 to both sides
      4x = 2x + 24   Subtract 2x from both sides
      2x = 24           Divide both sides by 2
        x = 12

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Claire has invested $10,000 in an 18-month CD that pays 6.25%. How much interest will Claire receive at maturity?
Vikki [24]

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

4 0
3 years ago
Solve 7x 6 < 3(x - 2).{x | x > -3}{x | x < -3}{x | x < -2}{x | x < 0}
Lelechka [254]
7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
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x < -12/4
x < -3

<span>{x | x < -3}</span>

6 0
3 years ago
What is the range of the function?
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Step-by-step explanation:

7 0
3 years ago
this graph shows the amount of rain that falls in a given amount of time. what is the slope of the line and what does it mean in
Galina-37 [17]

Answer:

-5/-2 or 2.5

Step-by-step explanation:

Because you gave two points that I'm guessing are from the graph I think that's the answer. Because when you use the slope formula y2-y1 over x2 - x1 you get -5/-2 or you either get 2.5 meaning that is the slope specifically saying the rate of change. You get 2.5 when you divide -5/-2 incase you need a decimal or want to simplfy it.

4 0
1 year ago
Read 2 more answers
If the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?
madam [21]

Answer:

Primary consumer = 100kcal

Secondary consumer = 10kcal

Tertiary consumer = 1kcal

Step-by-step explanation:

In a food chain, transfer of energy occurs when one organism feeds on another organism. However, only 10% of energy is transferred from one organism to another because energy is lost as heat when the organisms perform metabolism.

In a typical food chain consisting of a producer, a primary (1st), secondary (2nd) and tertiary (3rd) consumer, if there are 1000 kcal of energy available in the producer, then:

- Primary consumer will obtain; 10% of 1000Kcal

10/100 × 1000

Primary consumer = 100kcal of energy.

- Secondary consumer will obtain as follows; 10% of 100kcal available energy

= 10/100 × 100

Secondary consumer = 10Kcal of energy.

- Tertiary consumer will obtain as follows; 10% of 10Kcal of available energy.

= 10/100 × 10

Tertiary consumer = 1 kcal of energy.

6 0
3 years ago
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