What is a correct congruence statement for the triangles shown?
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ΔQDJ=Δ____

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

Answer:

Step-by-step explanation:

The best way to do this problem is to find the lowest common denominator.

2/3 : 3*2/(3*3)

3/4 : 3*3 / 3*4

Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12

So multiply the equation by 12

(2/3 x- 5  = 3/4 ) 12

8x - 60 = 9                                 Add 60 to both sides

8x - 60 = 9                                 Combine

8x = 69                                       Divide by 8

x = 69/8

x = 8  5/8

Answer:

Step-by-step explanation:

[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]

[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]

Answer:

-5x^3-38x^2-76x-46=0

Answer:

a is 16 yards hope this helps

Step-by-step explanation:

Step-by-step explanation:

10-2x + 6- 20

8x-14 the answer of first question

Answer:

A

Step-by-step explanation:

Answer:

91.44 cm

Step-by-step explanation:

2.54 x 12 = 30.48 cm per foot

30.48 x 3 = 91.44cm

Answer:

175.42

Step-by-step explanation:

surface area of square pyramid is given by:

Area= s^2 + 2(s)(l)

where s is the base and l is the slant height

in given problem, slant height l is not given, so by using Pythagoras theorem finding l:

c^2= a^2 + b^2

    =  8^2 + 4^2

    = 48.49

c     = 6.96348

Now putting values of s=8 and l= 6.96 in first formula

Area= 8^2 + 2(8)(6.96)

     =  64 + 111.41

     = 175.42

!

Answer:

-3(n + 2)= 15

Step-by-step explanation:

Based on this question, we know that the equation involves multiplication. Here we start our equation with -3!

Then it says "times the sum of a number and two" So let's just say the "number" is "n". The word "sum" means the answer to an addition problem, thus we know that we are adding "n" and 2. Let's put that in parenthesis!

-3(n+2)

And it says "is fifteen" which also means "equals to fifteen"

Therefore, the answer is:

-3(n + 2) = 15

Hope you find this useful :D

Answer:

Step-by-step explanation:

The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.

H/25=6/36

H=5

The person is 5 feet tall when his shadow is 6 feet long.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A person is standing 24 feet away from a street light that is 25 feet tall.

let the height of person be x when its height of shadow is 6 feet.

Using Proportion

x/ 6 = 25 / 30

30x =150

x= 150/ 30

x= 5 feet

Hence, the height of the person is 5 feet.

Learn more about proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

Answer:

k=50º

m=90º

Step-by-step explanation:

a line is 180º total

so 130+k=180

k=50

a triangle also is 180º total

so 180-40-k=m

180-40-50=m

90=m

Answer:

steps below

Step-by-step explanation:

cot 10° * cot 20° * cot 70° * cot 80° * cot 45°

= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)

= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)

= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°))    ... cos90° = 0     cos60° = 1/2

= (1/8*cos50°) / (1/8*cos50°)

= 1

Answer:

Umm... I'd love to help but... you didnt post a question. Was that an accident?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The absolute value measures the distance from zero on a number line. A negative number will have the sign change,

Answer:

8049.43

Step-by-step explanation:

1999.99 + 6049.44

Answer:

(3,-1)

Step-by-step explanation:

Answer:

3/4 * 120 = 90

3/8 * 120 = 45

Step-by-step explanation:

3/4 of something is the same as multiplying by 0.75 (to do it one way.)

Or you can just divide 120 by 4, then multiply it by 3.

EDIT: I see you're asking for 3/4, then 3/8...

If it's 3/8s you want, it's 45.

Answer:

It was a 12.5% water gain

Answer:

x = -5/7

Step-by-step explanation:

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Answer:

^2+2−3

Step-by-step explanation:

Answer: the coefficient of x in the expansion is 2

Step-by-step explanation:

(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)

which equals x^2 -x +3x -3 which is x^2 +2x -3

the leading coefficient of x^2 1. and the coefficient of x is 2.

Answer:

D

Step-by-step explanation:

First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17

Next, we need to collect like terms: -5x = -20

Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.

Answer:

1 bat : 0 hits

Step-by-step explanation:

To get this unit rate all you have to do is divide both sides by 4.

(4/4) : (0/4) = 1:0

We get the same number of hits as in the original problem because 0 divided by any number (other than 0) will always equal 0.

Can I get brainliest please?

Answer:

is it jazly 2279 together then g mail?

Step-by-step explanation:

Answer:

x= -19/8

Step-by-step explanation:

Answer:

y = 5x -1

............

Answer:

The y intercept is -1 and the slope is 4/1

Step-by-step explanation:

When you are trying to find the y-intercept, you look at where the line crosses over the y axis. In this case it was at -1.

The slope indicates how many units it is going up/down or left/right. In this case, the distance between each point is up 4, and right 1. so the slope would be 4/1.

I hope this helps :)