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3 years ago

WORTH 20 POINTS!!!!!!

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

8 0

Answer:

Given vertices of the triangle ABC,

A(-4,-2), B(-1,3), and C(5,0),

A) By graphing,

The vertices of preimage of the vertices of A, B and C are shown as below.

B) Since, the rule of 180°counterclockwise about the origin,

$(x,y)\rightarrow (-x, -y)$

If the triangle ABC is rotated 180°counterclockwise about the origin to form triangle A′B′C′.

The vertices of A'B'C' are,

A'(4,2), B'(1, -3), C'(-5,0)

Georgia [21]3 years ago

6 0

Step-by-step explanation:

check the above images..

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For the triangles to be congruent by hl, what must be the value of x? 8 9 17 34

lora16 [44]

Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.

<h3>What are equations?</h3>

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, HL is a hypotenuse that will be congruent to the hypotenuse AC.

We know that HL is 3x + 3.

Ac is 15.

Then the equation will be:

3x + 3 = 15

Now, solve the equation to get x as follows:

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.

Know more about equations here:

brainly.com/question/28937794

#SPJ4

Correct question:
For the triangles to be congruent by hl, what must be the value of x?

a. 8

b. 9

c. 17

d. 3

e. 4

8 0

1 year ago

At midnight the temperature was -8 degree F. At noon the Temperature was 23 degrees F. Which expression represents the increase

Firlakuza [10]

23- -8

This equals to 31. 31 degrees was the increase

6 0

3 years ago

Someone help with this <br> !!!

murzikaleks [220]

The correct answer is the third choice : 25/9

4 0

3 years ago

Select the correct answer. A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of gett

snow_tiger [21]

Answer:

18.

Step-by-step explanation:

Very Simple.

4 0

3 years ago

The Johnson twins were born eleven years after their older sister. This year, the product of the three siblings' ages is exact

vodka [1.7K]

So there are 3 siblings: the first twin, the second twin, and their older sister.

Since the sister is older by 11 years, you can represent their relationship with the following equation;
age of twin = age of older sister - 11
t = s - 11

Representing this next part may be a little hard to show, but i'll do my best :)

Adding the ages together can be represented like this;
total age = t + t + s
If the product of their ages ( t * t * s ) is 1181 more than the sum, you can show it like this:
$t * t * s = (t + t + s) + 1181$
Now you substitute in (s - 11) for t because s = t - 11.
$t * t * s = (t + t + s) + 1181\\
(s-11) * (s-11) * s = ((s-11) + (s-11) + s) + 1181\\
(s^{2}-22x+121)*s=s+s-11-11+1181\\
s^{3}-22s^{2}+121s-2s=1159\\
s^{3}-22s^{2}+118s-1159=0$
Factor:
Since it's a third-degree equation, I just entered it into a polynomial solver in my calculator. There was only one factor listed, x = 19. Using (s - 19) = 0 as a factor, the equation becomes the following:
$s^{3}-22s^{2}+118s-1159=0\\
(s-19)(s^{2}-3s+61)=0$
Using the quadratic formula, you get:
$s= \frac{-b(+-)\sqrt{b^{2}-4ac}}{2a}\\
s= \frac{-(-3)(+-)\sqrt{(-3)^{2}-4(1)(61)}}{2*1}\\
s= \frac{3(+-)\sqrt{(9)-244}}{2}\\
s= \frac{3(+-)\sqrt{-235}}{2}$

Since you have a square root of a negative number, the answer will be imaginary. You cannot have an age that is imaginary, so the age of the older sister (s) is 19 years.

Because t = s - 11, that means that t = (19) - 11 = 8.
t is the age of the twins, so the twins are 8 years old.

8 0

3 years ago