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Anni [7]
4 years ago
5

Preston drew four angles shown below.

Mathematics
1 answer:
BaLLatris [955]4 years ago
8 0
Complementary angles are angles which add to 90 degrees, and supplementary angles are angles which add the 180 degrees.

So A and D are complementary, and B and C are supplementary.

To determine these answers, you can make note of which angles are acute (less than 90 degrees) and which angles are obtuse (more than 90 degrees). Because complementary angles add to 90, they both must be acute. Angles A and D work because 59+31 = 90.

Similarly, supplementary angles add to 180, therefore one of the angles must be obtuse. B is the only obtuse angle.. 119 + 61 = 180.
You might be interested in
A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 16 ft less than the length
KATRIN_1 [288]

Let's say the length of the ladder is "d". Since the distance from the bottom of the ladder to the building is 16 feet less than the length, we can write this as d - 16.

The distance from the ground to the top of the ladder is 2 feet less than the length of the ladder, so we can denote this as

d - 2.

The shape made by the ground, ladder, and side of the building is a right triangle, and we just found its legs. We can use the Pythagorean Theorem to solve for "d" and find how far up the side of the building the ladder is:

(d - 16)^2 + (d - 2)^2 = d^2

(d^2 - 32d + 256) + (d^2 - 4d + 4) = d^2

2d^2 - 36d + 260 = d^2

d^2 - 36d + 260 = 0

(d - 26) * (d - 10) = 0

d = 26 or d = 10

The answer d = 10 does not fit in this case because it isn't possible to have 16 feet less of 10 feet; it would be negative!

So, d = 26. The top of the ladder to the ground is 2 less than d, so we do 26 - 2 = 24 feet.

The answer is 24 feet.

5 0
3 years ago
Read 2 more answers
The cost price of a radio is #1800.If it is to be sold again at a loss of 15%,how much would the customer pay for it?​
Marrrta [24]

Answer:

15/100*1800=15*1800/100=15*18=270

Step-by-step explanation:

1800-270=1530 therefore answer is 1530

6 0
3 years ago
6. Solve P = C + rC for r.
slavikrds [6]

Answer:

r=c2pi ok

Step-by-step explanation:

that the answer

4 0
3 years ago
Read 2 more answers
Is it easier to graph an equation in y-intercept form or standard form? Explain.​
Dafna1 [17]
Y-intercept form because it is more commonly used and easier to remember. The foundation of the y-intercept is easier to put in a graphing calculator also as it is already set to y=
3 0
3 years ago
electric switches that regularly sell for $0.69 each are advertised this week at 5 for $2.75 . how much is saved by purchasing 5
grandymaker [24]

Answer:

So we will be saving a total of $0.7 at new rate

Step-by-step explanation:

Given:

Original price =$ 0.69

New price = $ 2.75 per 5 switches

To find:

Saving = ?

Solution:

The original per price of the switch is given as = $ 0.69

Discounted price of 5 switches at $2.75

5 Switch price at original price = Original price * No of switches

                                                       = 0.69 * 5

                                                       = $ 3.45

Total saving at buying 5 switches = 3.45 - 2.75

                                                           =$0.7

So we will be saving a total of $0.7 at new rate

3 0
3 years ago
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