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Which triangles in the diagram are congruent?

lesya [120]

Answer:

triangle 1 and triangle 3.

Step-by-step explanation:

Given : Four triangle .

To find : Which triangles in the diagram are congruent.

Solution :

By Congruent rule Side angle side : In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, triangle 1 and triangle 3.

7 0

3 years ago

Read 2 more answers

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter

nikitadnepr [17]

Answer:

Width = 15 feet

Length = 45 feet

Step-by-step explanation:

You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?

Perimeter of a rectangle = 2L + 2W

The length is 3 times the width.

L = Length = 3W

W = Width

P = 120 ft

Hence:

120 = 2L + 2W

120 = 2(3W) + 2W

120 = 6W + 2W

120 = 8W

W = 120/8

W = 15 feet

Solving for Length

L = 3W

L = 3 × 15 feet

L = 45 feet

Therefore, the dimensions of your very own dog park is

Width = 15 feet

Length = 45 feet

3 0

2 years ago

4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a

bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

$p_{1} = \frac{368}{634} =0.580$

It found that 368 of the Indians and 130 Asians listened to rap music every day.

$p_{2} = \frac{130}{567} =0.229$

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

$p_{1} = p_{2}$

Alternative hypothesis:- $p_{1} \neq p_{2}$

Level of significance α = 0.05

The test of statistic

$z = \frac{p_{1} - p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} }) } } }$

where $p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}$

p = 0.414

and q = 1-p = 1- 0.414 =0.586

$Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }$

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0

2 years ago

Find the missing measurement for each figure.

earnstyle [38]

To find h, divide the area by the base:

h = 2442 / 12 = 203.5 km.

6 0

3 years ago

Please help me I honestly have zero clue how to answer this question

Iteru [2.4K]

Step-by-step explanation:

$n = 3 \times 5 {}^{2} \times {x}^{3}$

Square both sides of the equation.

${n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )$

$5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )$

6 0

2 years ago