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3 years ago

Determine if the triangles in the figure are congruent

Mathematics

1 answer:

valkas [14]3 years ago

6 0

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW ……….{Given}

VW ≅ YW ............{Given}

∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}

......Proved

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Simplify the expression.

netineya [11]

Answer:

-6m^2 *n^2

Step-by-step explanation:

formula: (m^x)/(m^y)= m^(x-y)

apply formula for (4m^2)/(2m^-3)

=(4m^(2--3)/(2)

=4m^5/2

divide 4/2

=2m^5

next part 3n^5/(-mn)^3

3n^5/(-mn)^3

expand

=3n^5/ (-m^3*n^3)

=3n^(5-3)/ -m^3

=3n^2/ -m^3

both parts:

(2m^5* 3n^2)/ -m^3

= -(2m^5* 3n^2)/ m^3

= -(2m^(5-3)* 3n^2)/ 1

= -(2m^2* 3n^2)

= -(6m^2*n^2)

= -6m^2 *n^2

8 0

2 years ago

Why is (0,5) not a solution to the equation 5x + y=10? Explain

lina2011 [118]

Answer:

see below

Step-by-step explanation:

5x + y=10

Let x = 0 and y = 5

5*0 +5 = 10

0+5 = 10

5 =10

This is not true so (0,5) is not a solution

3 0

3 years ago

Read 2 more answers

Can someone help me pls ASAP

zaharov [31]

It’s 1+5+11+3= 20 and that’s the answer of the number

4 0

3 years ago

HELP ME PLEASE WILL GIVE BRAINLIEST! The following set of coordinates represents which figure? (1, 1), (1, 4), (5, 4), (5, 1) (4

Nikolay [14]

Answer lol

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Use the information in the diagram to determine the height of the tree to the nearest foot.

algol13

Answer:

The correct option is A. The height of tree is 60 ft.

Step-by-step explanation:

From the given figure it is noticed that the building is creating a right angle triangle from a point and the tree divides the hypotenuse and base in two equal part.

According to midpoint theorem of triangle: In a triangle, if a line segment connecting the midpoints of two sides, then the line is parallel to third side. The length of line segment is half of the length of third side.

Using midpoint theorem of triangle, we can say that the length of tree is half of the building.

$Tree=\frac{1}{2}\times Building$

$Tree=\frac{1}{2}\times 120$

$Tree=60$

Therefore correct option is A. The height of tree is 60 ft.

5 0

3 years ago