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const2013 [10]
4 years ago
9

The scale of a map is 1cm:12 km. find the actual distance for 12cm

Mathematics
1 answer:
anzhelika [568]4 years ago
6 0
This is simply a question about ratios. This ratio means that for every 1 cm on the map, there are 12 km in actuality. You can set this problem up in fractions:

1 cm           12 cm
--------   =   ----------
12 km             x

To solve for x, we cross-multiply, for the moment ignoring units. Remember, your answer will be in km.

1*x=12*12

x=144

If x=144, then for 12 cm, there are 144 km.


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In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

m∠HMO=102°

Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

solve for x

10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

substitute the value of x

m∠HMO=(12(9)-6)=102°

see the attached figure to better understand the problem

5 0
3 years ago
Ray AT bisects ZMAR If mZMAT= (6x-4) and mZRAT = (2x+8)", what is the mZMAR
telo118 [61]

The measure of m<MAR= 28 de

<h3>What is angle bisector?</h3>

Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.

Given:

AT bisects <MAR

and, m<MAT= (6x-4) and and m<RAT = (2x+8)

As, <MAR is bisected by ray AT.

So,

<MAT = <RAT

6x-4= 2x+8

6x- 2x = 8+4

4x = 12

x= 3

So, <MAT = 6x-4= 6*3-4= 14

and, <RAT = 2x+8 = 14

Hence, MAR= <MAT + <RAT = 14+14=28

Learn more about angle bisector here:

brainly.com/question/28557178

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6 0
2 years ago
You would like put up a fence around your rectangular backyard. You know that the length of your backyard
Bogdan [553]

Answer:

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3 years ago
Does anyone know what BC would be?
omeli [17]
BC= 30
Reason: 64-8
56/7
8=x
3x=24
24+6
30
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3 years ago
Draw and label a line a line segment a ray and an angle
lora16 [44]

Answer and Step-by-step explanation:

Everything is in the picture.

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Line segments have a dot at each end, so they don't go on forever.

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