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2 years ago

Which triangle are congruent by AAS?

Mathematics

1 answer:

exis [7]2 years ago

6 0

The ΔVTU and ΔCAB are congruent by AAS congruency criterion. Option (a) is correct.

What are the types of congruency rule ?

The congruent triangles are those in which all the corresponding angles and the sides are equal.

There are many congruency rules and are as follows.

1. Angle Angle Side (AAS)

2. Angle Side Angle (ASA)

3. Side Side Side (SSS)

4. Side Angle Side (SAS)

In ΔVTU and ΔCAB

∠UVT=∠BCA

∠VTU = ∠CAB

AB = TU

AVT≅ ACAB (AAS congruency)

The ΔVTU and ΔCAB are congruent by AAS congruency criterion. Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more about AAS congruency rule from the link below

brainly.com/question/7727792

#SPJ4

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Mama L [17]

→ Chapter : Linear Equation of Two Variables ←
≡ We know that:
↔ y = 4x + 6

⇔ 3x + y = 41
↔ y = 41 - 3x

≡ Solution:
⇔ First, find the value of x:
⇒ y = y
⇒ 4x + 6 = 41 - 3x
⇒ 4x + 3x = 41 - 6
⇒ 7x = 35
⇒ x = 5

⇔ Then, find the value of y:
⇒ y = 4x + 6
⇒ y = 4(5) + 6
⇒ y = 20 + 6
⇒ y = 26

∴ So, the solution of that equation is (5, 26)

7 0

3 years ago

Determine value o and a how did you get this answer what relationships did you use

Ronch [10]

Answer:

theta is 78 degrees, alpha is 85 degrees

Step-by-step explanation:

use the parallel lines

alternate interior angles means that theta + 112 = 180

and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal

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3 years ago

if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1

zvonat [6]

Answer:

Step-by-step explanation:

if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1

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2 years ago

Someone has conducted a study to see if there is increased risk of getting lung cancer if you work in a coal mine. In group 1, 3

AleksandrR [38]

Answer:

Sample relative risk is 10.

Step-by-step explanation:

We are given the following in the question:

Group 1 of coal miners: 30 out of 150 get lung cancer.

$\text{P(Lung cancer for coal miner)} = \dfrac{30}{150} = \dfrac{1}{5}$

Group 2 of non-coal miners: 5 out of 250 get lung cancer

$\text{P(Lung cancer for non-coal miner)} = \dfrac{5}{250} = \dfrac{1}{50}$

Sample relative risk:

It is the ratio of probability of an outcome in an exposed group to the probability of an outcome in an unexposed group.

Sample relative risk =

$\dfrac{\text{P(lung cancer for coal miner)}}{\text{P(lung cancer for non coal miner)}}\\\\=\dfrac{\frac{1}{5}}{\frac{1}{50}} = \dfrac{50}{5} = 10$

Thus, sample relative risk is 10.

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3 years ago

Bilal's fishing line was on a spool with a radius of 4 cm. Suddenly, a fish pulled on the line, and the spool spun

Westkost [7]

Answer:

402 cm

Step-by-step explanation:

Given :

Radius = 4 cm

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C = 2πr

C = 2 * π * 4 = 8π

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Circumference * 16

8π * 16

8 * 3.14 * 16

= 401.92

= 402 cm

3 0

3 years ago