All categories

2 years ago

Two complementary angles are in the ratio 5 to 7 find the angles

Mathematics

1 answer:

GalinKa [24]2 years ago

7 0

Answer:

37.5°, 52.5°

Step-by-step explanation:

Let the two angles be 5x and 7x

Total ratio= 5+7 =12

5x = (5/12) ×90° ( sum of complementary angles = 90°)

= (5/2)×15°

75/2= 37.5°

Similarly

7x = (7/2)×15°

=105/2= 52.5°

<h3>Verification</h3>

37.5°+52.5°=90° (sum of complementary angles= 90°)

You might be interested in

Find the value of x in 4:6=x:3

frozen [14]

Answer:

x = 2

Step-by-step explanation:

Express the ratio in fractional form

$\frac{4}{6}$ = $\frac{x}{3}$ ( cross- multiply )

6x = 12 ( divide both sides by 6 )

x = 2

4 0

3 years ago

In football, the goal posts in the end zone are 7.11 meters apart.how many centimeters are in 7.11

aev [14]

Move the decimal right 3 times

4 0

3 years ago

20% of what number is 80? Help me to understand this please?

Orlov [11]

The answer is 400

You must divide 80 by 20%. to make 20% a usable number you must move the . over two times resulting in the number .20.

Now divide 80 by .20

80/.20=400

6 0

3 years ago

Read 2 more answers

What is equivalent to 12/24

SVEN [57.7K]

Answer:

1/2

0.5

2/4

3/6

4/8

50%...

Step-by-step explanation:

6 0

3 years ago

Help on this please

eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

$\frac{-7}{2(1)} =\frac{-7}{2}$

Vertex:

$y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}$

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

$y= 0^{2} +7(0) -8\\\\y= -8\\$

5 0

3 years ago