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Mumz [18]
3 years ago
13

A family traveled 159 miles to Atlanta. How fast were they driving if it toile them 3 hours to get there?

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

53 miles per hour

Step-by-step explanation:

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Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen
swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0
3 years ago
A. 29<br> B. 24<br> C. 20<br> D. 14
slava [35]
The answer is C. Hope that helps
3 0
3 years ago
Read 2 more answers
Identify the segment bisector of RS. Then find RS. I need help
uysha [10]

Answer:

M

Step-by-step explanation:

The angle bisector is M

3 0
3 years ago
Enter the sum of numbers as a product of their GCF.75 + 90
Semmy [17]
The gcf of the numbers are 15
5 0
3 years ago
Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


5 0
3 years ago
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