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bija089 [108]
3 years ago
11

Find the measure of angle 1.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0

Answer:

108 degrees

Step-by-step explanation:

x + 63 = 8x (vertically opposite angles)

7x = 63

x = 9

8x + angle1 = 180 (sum of angles on a straight line)

8(9) + angle1 = 180

angle1 = 180 - 8(9) = 108

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A 168-cm tall person is 2 cm in Ming’s model. How high should his model swing be if the actual swing is 231 cm high?
serious [3.7K]

Answer:

The model swing should be <u>2.75 cm</u> high.

Step-by-step explanation:

Given:

A 168-cm tall person is 2 cm in Ming’s model.  

If the actual swing is 231 cm high.

Now, to find how high should his model swing be.

Let the model swing be x\ cm.

So, 168 cm tall person is equivalent to 2 cm.

Thus, 231 cm actual swing is equivalent to x\ cm model swing.

Now, we get the height of the swing in the model by using cross multiplication method:

\frac{168}{2} =\frac{231}{x}

<em>By cross multiplication:</em>

⇒ 168x=462

<em>Dividing both sides by 168 we get:</em>

⇒ x=2.75\ cm.

Therefore, the model swing should be 2.75 cm high.

3 0
4 years ago
In quadrilateral ABCD, BN and DM are drawn perpendicular to AC such that BN = DM. Prove that O is the midpoint of BD
GaryK [48]

Answer:

Step-by-step explanation:

Given :

In the given quadrilateral ABCD,

BN and DM are the perpendiculars drawn to AC such that,

BN = DM

To prove:

Point O is the midpoint of segment BD.

Or

OD = OB

Solution:

In ΔOMD and ΔONB,

∠MOD ≅ NOB [Vertical angles]

∠M ≅ ∠N ≅ 90° [Given]

Therefore, by AA property of similarity,

ΔOMD ~ Δ ONB

Therefore, their corresponding sides will be proportional,

\frac{DM}{BN}=\frac{OD}{OB}

Since BN = DM,

OD = OB

Hence O is the midpoint of BD.

4 0
4 years ago
Solve the equation x2 = 5.<br> x = 5<br> X = 25<br> x= √5<br> D<br> x= 1/5
Gnesinka [82]

X=25

Step-by-step explanation:

  1. Because 5x5 =25, so the answer is x=25
6 0
3 years ago
Whats 73,200,000 divided by 10 5
Gnom [1K]

Answer:

if you meant 105 instead of "10 5" the answer would be 697142.857143

Step-by-step explanation:

3 0
4 years ago
Four employees of papa Tony's Pizza are cleaning up at the end of a busy night. There is a list of 43 clean up tasks that need t
Eduardwww [97]
Hello There!

You divide 43 by 4:
43/4 = 10.75
It isn't a whole number.
Therefore, each employee would do approximately 11. 
However, the exact amount is 10.75

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 
4 0
3 years ago
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