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nignag [31]
4 years ago
7

Angle dfg and angle fkl are complementary angles, m angle dfg= x+4, and m anlge jkl = x+10 . Find the measure of each angle

Mathematics
1 answer:
BARSIC [14]4 years ago
4 0

Answer:

42° and 48°

Step-by-step explanation:

Complementary angles sum to 90°, hence

x + 10 + x + 4 = 90

2x + 14 = 90 ( subtract 14 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

x + 10 = 38 + 10 = 48° and x + 4 = 38 + 4 = 42°


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A sweater that normally costs $32.00 is on sale for $24.00. What is the percent
Vlad1618 [11]

Answer:

25 %

Step-by-step explanation:

Percentage is given by :

\%=\dfrac{\text{original value-new value}}{\text{origial value}}\times 100

Original cost of sweater is $32 and sale cost is $24. So,

\%=\dfrac{32-24}{32}\times 100\\\\=25\%

Hence, 25 % is the markdown on the sweater.

6 0
3 years ago
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function y = 12(1.05)t. Evaluate the fu
aleksandrvk [35]

Answer

Exponential function is in the form of : y =a(1+r)^x .....[1]

where a is the initial amount and r is the growth rate and (1+r) is the growth factor.

Given the function: y = 12(1.05)^t

On comparing with equation [1] we have;

Initial amount(a) = 12

1+r = 1.05

Subtract 1 from both sides we get;

r = 0.05 or 5%

Growth (r) = 0.05 or 5%

Now, evaluate the function for t = 5 we have;

Substitute the value of t=5 in the given function we have;

y = 12(1.05)^{5}

y = 12 \cdot 1.27628156 = 15.3153787

Therefore, the value of function when t=5 to the nearest tenth is 15.3

7 0
3 years ago
Corey gave the cashier a $100 bill for 4 amusement park tickets. The cashier gave him $26.80 change. If each ticket cost the sam
Travka [436]

Answer:

$18.30

Step-by-step explanation:

100 - 26.80 = 73.20

73.20 / 4 = 18.30

4 0
3 years ago
Help me please it would help me
vova2212 [387]
<h3>Answer: Choice C</h3>

======================================================

Explanation:

The x coordinate of the preimage point Q is x = 6.

The x coordinate of the image point Q' is x = 21.

The ratio of image over preimage is 21/6 = (3*7)/(3*2) = 7/2

You'll get this same value if you do the same steps with the y coordinates.

Therefore, the scale factor is 7/2 and the dilation rule is (x,y) \to \left(\frac{7}{2}x, \frac{7}{2}y\right)

Note: 7/2 = 3.5

5 0
3 years ago
I would like the answer to 1/4 minus 1/3 is it 12
Mrac [35]

Answer:

-1/12

Step-by-step explanation:

1/4 - 1/3 =   3/12 - 4/12   = - 1/12

4 0
2 years ago
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