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2 years ago

HELP AM BEING TIMED !!!!

Mathematics

1 answer:

Alja [10]2 years ago

3 0

Answer:

Option B.

Step-by-step explanation:

It is given that triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

The triangle is rotated 270° clockwise using the origin as the center of rotation. So, rule of rotation is defined as

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

Now,

$G(2,-3)\to G'(3,2)$

$F(4,-1)\to F'(1,4)$

$H(1,1)\to H'(-1,1)$

So, the vertices of image are G'(3,2), F'(1,4) and H'(-1,1).

Therefore, the correct option is B.

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Solve for x please!!!!

AleksAgata [21]

11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.

Make them equal to each other in an equation.

5x = x + 20

Subtract x from both sides.

4x = 20

Divide both sides by 4.

x = 5

12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:

x + x + 50 = 180

Combine like terms.

2x + 50 = 180

Subtract 50 from both sides.

2x = 130

Divide both sides by 2.

x = 65

Now make the base angle plus x equal 180, because they form a straight line.

65 + x = 180

Subtract 65 from both sides.

x = 115

13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.

x + x + 90 = 180

Combine like terms.

2x + 90 = 180

Subtract 90 from both sides.

2x = 90

Divide both sides by 2.

x = 45

5 0

3 years ago

Which number is irrational

alina1380 [7]

For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction $\frac {a} {b}$ , where a and b are integers and b is nonzero.

Some examples are:

$\sqrt {2}, \sqrt {3}, e, \pi.$

So, that the answer is $\pi.$

Answer:

Option C

4 0

3 years ago

The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent

Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

m + n = -15

If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

n = m-5

To find the value for each number, we can replace the n equation on the first equation:

m + n = -15

m + (m-5)= -15

Then:

m + m - 5 = -15

2m -5 = -15

Solve the equation for m:

Add both sides 5 units:

2m - 5 +5 = -15+5

2m = -10

Divide both sides by 2:

2m/2 = -10/2

m = -5

Finally, replace the m value on the first equation:

m + n = -15

-5 + n = -15

Then, solve the equation for n:

Add both sides by 5:

-5+5 + n = -15 +5

n = -10

Hence, both numbers are m=-5 and n= -10.

The equations separated by a comma are m + n = -15,n = m-5.

The numbers separated by a comma are -5,-10.

6 0

1 year ago

Two angles are supplementary the measure of one angle is 4 times the measure of the other angle what is the measure of the small

noname [10]

X + y = 180
x = 4y
Plug that in and you get: 4y + y = 180
5y = 180
y = 36

If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144

The smaller angle is 36 degrees, and the larger angle is 144 degrees.

7 0

2 years ago

7^16/7^12=7^-18/? what is the missing denominator

creativ13 [48]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
\\\\\\
x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
\\\\\\
\boxed{x=7^{-22}}\implies x=\cfrac{1}{7^{22}}$

4 0

3 years ago