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Otrada [13]
3 years ago
9

Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th

e bigger angle?
Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

bigger angle is 117°

Step-by-step explanation:

x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)

2x+54=180

2x= 180-54

2x=128

x=126/2

x= 63

x1= smaller angle

x1= 63

x2= bigger angle

x2= 63+54

x2=117

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The school needed to buy more paper for teachers to use. one bundle of paper cost $50. If the school had $350 to spend on paper,
Bess [88]

Answer:

They could buy 7 bundles of paper

Step-by-step explanation:

350/50=7

6 0
3 years ago
Maximize the objective function P = 3x + 5y for the given constraints
Nikitich [7]
The answer is 19 please like and 5 star
7 0
2 years ago
KM=<br> Help me asap pleasee
Rina8888 [55]

Answer: 3

Step-by-step explanation:

By the intersecting chords theorem,

(KM)(16)=(4)(12)\\\\KM=3

8 0
2 years ago
David did not notice the multiplication sign between two three-digit numbers and wrote one six-digit number, which is equal to s
IRISSAK [1]

1) We can get that number hit and trial method.

It is said that "two three-digit numbers and wrote one six-digit number, which is equal to seven times their product".

Let us check number 143.

If we write 143 two times without any sign in between , we get 143143 ( a six digit number).

But if we multiply 143 × 143 , we get 20449.

7 times of 20449 equals 143143.

<h3>Therefore, the required three digit number is 143.</h3>

2) Let us assume required prime numbers are a, b and c.

Product of a, b and c= abc.

Sum of a, b and c = a+b+c.

"Their product is five times greater than their sum."

Therefore,

abc = 5(a+b+c)  ----------------------equation (1)

Now, let us take first prime numbers 2 and second 5.

Plugging a=2 and b=5.

2×5×c = 5(2+5+c).

10c = 5(7+c)

10c = 35 +5c.

Subtracting 5c from both sides, we get

10c-5c = 35 +5c-5c.

5c = 35.

Dividing both sides by 5, we get

c=7.

Therefore, first "cool" triple is 2,5,7.

Let us check by taking a=2 and b=7.

Plugging a=2 and b=7 in equation (1), we get

2×7×c = 9(2+7+c).

c=9. But it's not a prime number.

Let us take a=2 and b=11, we get

2×11×c = 11(2+11+c).

c=13   (A prime)

If we take a=2 and b=17, we get

2×17×c = 17(2+17+c).

c=19   (A prime).

<h3>On the same way, if we continue the process, we can get many "cool" triples.</h3>


4 0
3 years ago
Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
kodGreya [7K]

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = \frac{opposite}{adjacent} = \frac{x}{35} ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

6 0
2 years ago
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