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3 years ago

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Step-by-step explanation:

Δ GHI and Δ JKL are congruents because:

1. Their sides GH and JK are equal (9 units = 9 units)

2. Their included angles ∠G and ∠J are equal (62° = 62°)

3. Their sides GI and JL are equal (17 units = 17 units)

Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

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Help pls look at the picture

Alika [10]

Answer:

Option A: $-\frac{4}{3}$ is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = $\frac{3}{4}$

Let,

m be the slope of the line perpendicular to the line with slope $\frac{3}{4}$

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

$\frac{3}{4}.m=-1\\$

Multiplying both sides by $\frac{4}{3}$

$\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\$

m = $-\frac{4}{3}$

$-\frac{4}{3}$ is the slope of the line perpendicular to the line having slope $\frac{3}{4}$

Hence,

Option A: $-\frac{4}{3}$ is the correct answer.

3 0

2 years ago

What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table?

sveta [45]

Answer: A B

Group 1 0.25 0.75

Group 2 0.44 0.56

Step-by-step explanation:

Since we have given that

Number of people of A in group 1 = 15

Number of people of B in group 1 = 45

Total number of people in group 1 is given by

$15+45=60$

Relative frequency of people of A in Group 1 is given by

$\frac{15}{60}=0.25$

Relative frequency of people of B in Group 1 is given by

$\frac{45}{60}=0.75$

Similarly, Number of people of A in group 2 = 20

Number of people of B in group 2 = 25

Total number of people in group 2 is given by

$20+25=45$

Relative frequency of people of A in Group 2 is given by

$\frac{20}{45}=0.44$

Relative frequency of people of B in Group 2 is given by

$\frac{25}{45}=0.56$

Hence, A B

Group 1 0.25 0.75

Group 2 0.44 0.56

6 0

2 years ago

Tom knows that in his school 10out of every 85 students are lefthanded. There are 391 students in Toms school. How many studentd

kompoz [17]

There are 39 left handed students at Toms school

5 0

2 years ago

What is the third quartile of {6, 9, 16, 11, 12, 16, 5, 14, 5}

Evgen [1.6K]

12 is the median

Q1 is 12.5

Q3 is 9.5

The answer is 9.5

Hope this helps!

8 0

2 years ago

Read 2 more answers

Help??????????????????????

Bumek [7]

Answer: y= -5/2x+3
Explanation: by converting the equation into slope-intercept form you can use the slope and y-intercept given in the equation to graph.

Step-by-step:
5x= -2y+6
2y= -5x+6
Y= -5/2x+3
Slope= -5/2x
Y-intercept= 3

3 0

3 years ago