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atroni [7]
3 years ago
13

Which expression is equivalent to 5(9 + 7)? 14 + 12 14 + 7 45 + 7 45 + 35

Mathematics
1 answer:
nika2105 [10]3 years ago
3 0
5(9 + 7) = 5 x 9 + 5 x 7 = 45 + 35
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In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer
laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0
3 years ago
Which linear function represents the line given by the point slope equation y - 2 - 4(x - 3)? O RX) - 6x 1 O Rx) = ax - 6 O P(x)
Sever21 [200]

Answer:

Use the given functions to set up and simplify O R X . y − 2 − 4 ( x − 3 ) = − 4 x + y + 10 O R X = − 4 x + y + 10

Step-by-step explanation:

4 0
2 years ago
Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5
Art [367]

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

6 0
3 years ago
It takes Emily 9 minutes to bicycle 3/10 of the way to school. How many minutes does it
xeze [42]

Answer:30

Step-by-step explanation:

3/10x=90

Use reciprocal to multiple both sides

x=answer

6 0
3 years ago
A bank teller knows that she received 34 dimes and nickels from a customer. If the change totaled $2.05, how many dimes and nick
ivanzaharov [21]
D = # of dimes
n= # of nickles

d + n = 34 so d = 34 - n
.10d + .05n = 2.05

substitute d = 34 - n into .10d + .05n = 2.05

.10d + .05n = 2.05
.10( 34 - n) + .05n = 2.05
3.4 - .1n + .05n = 2.05
     -.05n = -1.35
  n = 27

d = 34 - n
d = 34 - 27
d = 7

answer

<span>she received 7 dimes and 27 nickels</span>
7 0
3 years ago
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