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sweet-ann [11.9K]
3 years ago
10

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angl

es?
Mathematics
2 answers:
koban [17]3 years ago
8 0

9514 1404 393

Answer:

  55° : 70°

Step-by-step explanation:

The sum of the two other angles is ...

  180° -55° = 125°

The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...

  11×5° = 55°

  14×5° = 70°

Galina-37 [17]3 years ago
7 0

Answer:

55° and 70°

Step-by-step explanation:

A triangle has an angle that measures 55°. The other two angles are in a ratio of 11:14. What are the measures of those two angles?

the sum of the internal angles of a triangle is 180 °, we take 55 ° of the known angle and we have the sum of the other two, 125 °, the ratio is 11:14, one is 11 units and one is 14 units, we add them and we divide 125 ° by (11 + 14) = 25 and we have a unit, 125: 25 = 5. now we multiply the unit first by 11 and then by 14 and find the measure of the angles.

11 * 5 = 55°

14 * 5 = 70°

--------------------

check

55 + 55 + 70 = 180°

the sum of the interior angles of a triangle is 180,

so

the answer is good

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A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there
pshichka [43]

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

3 0
3 years ago
A.) f(x)=3x^2-18x+27.
Alona [7]
A)
Vertex:(3,0)
x-intercepts: (3,0) 
y-intercepts: (0,27)

B)
Vertex:(0,-9)
x-intercepts:none 
y-<span>intercepts:</span> (0,-9)
8 0
3 years ago
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While playing a video game, you score p game points
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Step-by-step explanation:

7 0
3 years ago
The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the l
kvv77 [185]

Answer:

100.75 liters

Step-by-step explanation:

Data provided in the question:

t (min)     0     0.5      1     1.5      2      2.5      3

r (l/min)    44    40     37     34     30     27      23

Now,

left endpoint approximation

= 0.5 × ( 44 + 40 + 37 + 34 + 30 + 27 )

= 0.5 × 212

= 106

Right endpoint approximation

= 0.5 × ( 40 + 37 + 34 + 30 + 27 + 23 )

= 0.5 × 191

= 95.5

Therefore,

the average of the left- and right-endpoint approximations

= [ 106 + 95.5 ] ÷ 2

= 100.75 liters

3 0
3 years ago
Please help thank you
NeTakaya

Answer:

From the attached graphic, we can see:

(SP + PR) * PR = (WQ + QR) * QR

SP * PR + PR^2 = WQ * QR + QR^2

4 SP + 4*4 = 8 * 5 + 25

4 SP + 16 = 65

4 SP = 49

SP = 49 / 4

SP = 12.25

Step-by-step explanation:

6 0
3 years ago
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