Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E

Answer:

Step-by-step explanation:

We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.

Answer:

D.) x = 5.29

Step-by-step explanation:

first find the last angle measure 180-90-54=36

use law of sines to find x

sin90/9=sin36/x

(sin90)(x) = (sin36)(9)

(sin90)(x) = 5.29

x = 5.29

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

Answer:

12 people voted for Matthew and 18 people voted for Diana.

Step-by-step explanation:

1. Multiply 30 by 0.4 to get 12.

2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.

Answer:

2^3 * 3

Step-by-step explanation:

Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23

To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.

This is much easier to do than it sounds like in this explanation.

Start with 24.

24/2 = 12

12/2 = 6

6/2 = 3    3 is not divisible by 2, so we move on to 3.

3/3 = 1    We got to 1, so we are done.

The prime factorization is the product of all the prime numbers we divided by which are in bold.

24 = 2 * 2 * 2 * 3

Now we index it:

24 = 2^3 * 3

Answer:

[tex]x<-6[/tex]

Step-by-step explanation:

[tex]3x-2>5x+10[/tex]

Add 2 to both sides

[tex]3x-2+2>5x+10+2[/tex]

Simplify

[tex]3x>5x+12[/tex]

Subtract [tex]5x[/tex] from both sides

[tex]3x-5x>5x+12-5x[/tex]

Simplify

[tex]-2x>12[/tex]

Multiply both sides by [tex]-1[/tex] (reverse the inequality)

[tex](-2x)(-1)<12(-1)[/tex]

Simplify

[tex]2x<-12[/tex]

Divide both sides by [tex]2[/tex]

[tex]\frac{2x}{2} <\frac{-12}{2}[/tex]

Divide the numbers: [tex]\frac{2}{2} =1[/tex]

[tex]=x[/tex]

Divide the numbers: [tex]\frac{-12}{2}[/tex]

Apply fraction rule: [tex]\frac{-a}{b} =-\frac{a}{b}[/tex]

[tex]=\frac{12}{2}[/tex]

Divide the numbers: [tex]\frac{12}{2} =6[/tex]

[tex]=-6[/tex]

[tex]x<-6[/tex]

Answer:

x < -6

Step-by-step explanation:

I just took the test. When you are dividing by a negative variable, flip the sign.

Answer:

B

Step-by-step explanation:

9x20=180

[tex]b-2<5\\b<5+2\\b<7[/tex]

Therefore, the answer is b < 7.

Answer:

b

Step-by-step explanation:

Answer:

26/9

Step-by-step explanation:

whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:

13/2 * 4/9

just do straight multiplication

numerators: 13*4 = 52

denominators: 2*9 = 18

52/18 = 26/9

Answer:

A.) f(x) = 45 - 4(x - 1)

Step-by-step explanation:

Answer:

4.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

Step-by-step explanation:

just do it

Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

To get the speed of something you would have to sole for s=d/t (speed equals distance over time)

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

Answer:

x=2

Step-by-step explanation:

8^1/6 x 2^x = 32^1/2

Divide by 8^1/6

2^x= 32^42/8^y6

2^x=4

but 4= 2^2

2^x= 2^2

x=2

I hope helps you and if you consider and want you can give me a Brainly crown

Answer:

[tex]\huge\boxed{x=2}}[/tex]

Step-by-step explanation:

[tex]8^\frac{1}{6}\cdot2^x=32^\frac{1}{2}\\\\(2^3)^\frac{1}{6}\cdot2^x=(2^5)^\frac{1}{2}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\2^{3\cdot\frac{1}{6}}\cdot2^x=2^{5\cdot\frac{1}{2}}\\\\2^{\frac{1}{2}}\cdot2^x=2^\frac{5}{2}\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\2^{\frac{1}{2}+x}=2^\frac{5}{2}\iff\dfrac{1}{2}+x=\dfrac{5}{2}\qquad|\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\\x=\dfrac{4}{2}\\\\x=2[/tex]

Answer:

What are you asking?

Step-by-step explanation:

Answer:

1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4:  2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%

Step-by-step explanation:

Answer:

4 LBS

Answer:

y=3x+2

Step-by-step explanation:

Answer:

y=3x+2

Step-by-step explanation:

facts: slope is m, and b is y-intercept

y=3x+2

hope this helps!

Answer:

George would have 7 pages complete

Step-by-step explanation:

Since he has 1 paper complete now and after 3 hours he would have 7 since 3x2=6 and 6+1=7

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

Answer:

$1.10

Step-by-step explanation:

What we know:

Emilio has 2 quarters, 4 dimes, 3 nickels, and 5 pennies.

Quarters = 0.25 * 2

Dimes = 0.1 * 4

Nickels = 0.05 * 3

Pennies = 0.01 * 5

$0.50 + $0.40 + $0.15 + $0.05

$0.90 + $0.20 = $1.10 in total

Answer:

1222222222

Step-by-step explanation:

Answer:

the answer is they are the same

Answer:

yes

Step-by-step explanation:

explanation: yes

me: yes

you: yes

others: yes

john cena: no :)

confusion confusion

confusion confusion

Answer:

Step-by-step explanation:

Answer:

y = -6x + 7

Step-by-step explanation:

In this question, we need to find the equation of a line with the given information.

We know that the line passes through (2, -5).

We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.

To make it simpler to understand, we can change the equation into slope format:

y = -6x + 6

This means that our new line should have a slope of -6.

With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.

Plug in your slope and coordinates to the y = mx + b equation and solve for b:

-5 = -6(2) + b

-5 = -12 + b

Add 12 to both sides.

7 = b

Our y-intercept would be b.

Now, we can plug in all our information to get our new equation:

y = -6x + 7

Your answer would be y = -6x + 7

Answer:

x = -30

Step-by-step explanation:

[tex]0.7x+0.6x=1x-9\\=>1.3x=1x-9\\=>1.3x-1x=9\\=>0.3x=-9\\=>\frac{3}{10}x =-9\\=>x=\frac{-9*10}{3} =-30[/tex]

Answer:

$852

Step-by-step explanation:

From the given question, the following are given:

Present value, PV = $675

Rate, r = 6% = 0.06

Number of years, n = 2 years

Number of times per year, m = 2

The balance in his account is the future value (FV), so that;

Future value = PV[tex](1+r)^{nm}[/tex]

                     = 675[tex](1+0.06)^{(2*2)}[/tex]

                     = 675 x 1.26248

                     = 852.174

Future value = $852

Thus, the balance in Alex's account would be $852.