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katrin2010 [14]
1 year ago
8

Tell which congruence postulate or theorem you would use to show that thetriangles are congruent.

Mathematics
1 answer:
vlabodo [156]1 year ago
3 0

From the given figure, we know that:

\begin{gathered} NO\cong LO \\ NM\cong LM \\ MO\cong MO \end{gathered}

This means that the three sides of triangle MNO are congruent to three sides of triangle LMO. Therefore, the triangles are congruent by Side Side Side postulate.

You might be interested in
Is lmn congruent to opq if so name the postulate
insens350 [35]

Answer:

Option (A)

Step-by-step explanation:

Given:

LM ≅ OP

MN ≅ PQ

∠M ≅ ∠P

To Prove:

ΔLMN ≅ ΔOQP

                   Statements                      Reasons

1). LM ≅ OP                                   1). Given

2). MN ≅ PQ                                 2). Given

3). ∠P ≅  ∠M                                3). Given

4). ΔLNM ≅ ΔOQP                      4). By the SAS postulate of congruence.

                                                         [Side - Angle - Side]                          

Therefore, Option (A) will be the answer.

5 0
3 years ago
What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
3 years ago
The school is planing a file trip they have 81 busses .each bus has 62 seats how many students can go
Tresset [83]

Answer:

5,022 Students

Step-by-step explanation:

All you have to do it multiply!

Like so:

81*62= 5,022

4 0
3 years ago
At Davidson's Bike Rentals, it costs $17 to rent a bike for 3 hours.
weqwewe [10]

Answer:

$5.67

Step-by-step explanation:

All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)

3 0
2 years ago
Pls help im doing math and in terriable..
8_murik_8 [283]

Answer:

64 points/80 points

80/100

Step-by-step explanation:

ez

6 0
3 years ago
Read 2 more answers
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