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olga nikolaevna [1]
3 years ago
9

In triangle JKL, if angle J is seven less than angle L and angle K is 21 less than twice angle L, find the measure of each angle

.

Mathematics
1 answer:
saul85 [17]3 years ago
7 0

Answer:

L = 52°

J = 45°

K = 83°

Step-by-step explanation:

J = L - 7

K = 2L - 21

J + K + L = 180°

∴ (L - 7) + (2L - 21) + L = 180

4L - 28 = 180

4L = 208

L = 52°

J = 52 - 7 = 45°

K = 2 x 52 - 21 = 83°

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3 years ago
A factory packs 25 small shirts,30 medium shirtsand 15 large shirts in a box. If 550 boxes are packed with these shirts,how many
stealth61 [152]

Answer: the total number of shirts in all the boxes is 38500

Step-by-step explanation:

A factory packs 25 small shirts,30 medium shirt sand 15 large shirts in a box. This means that the total number of shirts that is packed into a box would be the sum of the small shirt, medium shirt and large shirt. It becomes

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If 550 boxes are packed with these shirts, it means that the total number of shirts in all the boxes would be

550 × 70 = 38500

6 0
3 years ago
What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 6 years if the appropriate disco
Zolol [24]

Answer:4

Step-by-step explanation:

A zero-coupon bond  doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

To figure the price you should pay for a zero-coupon bond, you'll follow these steps:

Divide your required rate of return by 100 to convert it to a decimal.

Add 1 to the required rate of return as a decimal.

Raise the result to the power of the number of years until the bond matures.

Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.

First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.

5 0
3 years ago
This question is from the tangent ratio section in our chapter and im not sure how to solve for this
VladimirAG [237]
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
 tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
6 0
3 years ago
How much money is 1/2 of $11.00<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \frac
never [62]

$5.5

Step-by-step explanation:

½ × 11.00

5.5

Hope this helps. Have a good day!

6 0
3 years ago
Read 2 more answers
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