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3 years ago

The dashed triangle is the image of the pre-image solid triangle.

Mathematics

2 answers:

valina [46]3 years ago

6 0

Answer:

Step-by-step explanation:

The solid triangle dilated to become the dashed triangle.

Compare two corresponding sides. For example, the vertical side of the solid triangle measures 3 units. The vertical side of the dashed triangle measures 12 units. 12/3 = 4. The dilation is 4. The scale factor is 4.

Talja [164]3 years ago

5 0

Answer:

Scale factor: 4

Step-by-step explanation:

Let m be scale factor.

We have been given two triangles such that dashed triangle is image of the pre-image solid triangle.

First of all, we will find length of bases of both triangles by counting the units.

Base of pre-image: 2 units.

Base of image: $3-(-5)=3+5=8$ units.

We know that after multiplying a side of pre-image by scale factor, we get image.

$2\cdot m=8$

$\frac{2\cdot m}{2}=\frac{8}{2}$

$m=4$

Therefore, the scale factor for given diagram is 4.

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3 years ago

The perimeter of a square is 12p +4. One side of the square equals? Explain your answer.

Hoochie [10]

We know that a square, by definition, has four congruent sides.

So, simply divide the perimeter by 4, and you will get the expression equivalent to each side: 12p+4/4

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3 years ago

I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committ

Alika [10]

Answer:

117,600 ways

Step-by-step explanation:

This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,

then there m*n ways to combine.

Example: if there 5 shirts and 3 ties,

then number of ways in which different combination shirt and tie can be worn is

5*3 = 15 ways.

____________________________________

In the problem,\

number of states is 50,

let those states be

A1, A2, A3, A4 ......A50

in each state there are 2 senate

Condition

3-Senator committee in which no two members are from the same state.

then

first member can be chosen from any of the 50 state,

hence first member can be chosen in 50 ways

for simplicity lets take state A1, you can choose any one you wish

second member cannot be from state A1, then number of state left = 49

second member can be chosen from any of 49 state left

hence second member can be chosen in 49 ways

for simplicity lets take state A2,

Third member cannot be from state A1 and A2, then number of state left = 48

Third member can be chosen from any of 48 state left

hence Third member can be chosen in 48 ways

for simplicity lets take state A3,

Hence no. of ways of choosing 3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways

8 0

4 years ago

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller

horsena [70]

Answer: 20 feet by 20 feet.

Step-by-step explanation:

1. You know that $x$ is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for $x$ , as you can see below:

- You have that:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

- Then, you obtain the following quadratic equation:

$(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0$

- Apply the Quadratic formula to solve it:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80$

- Then, you obtain:

$x_1=20\\x_2=-4$

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.

3 0

3 years ago

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In a class no of girls is 11 more than the no of boys .If the total no.of students in the class is 55 how many are girls?

True [87]

Answer: There are 33 girls in the class

Step-by-step explanation:

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3 years ago

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