How can you use Triangle Congruence to solve real-world problems?

Based on the calculations on the given expressions, the correct answers are as follows:

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

When x = 6, we have:

Expression = 9 + x + 5 - 20

Expression = 9 + 6 + 5 - 20

Expression = 15 - 20

Expression = -5.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

The quotient of 60 and 12:

Quotient = 60/12

x/12 = 4

Cross-multiplying, we have:

x = 12 × 4

x = 48.

1/20 + 3/5 =

Lowest common multiple (LCM) = 20;

(1 + 12)/20 = 13/20.

Factors of 64 = 1, 2, 4, 6, 8, 16, and 32

Prime factorization of 64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

In order to calculate the number of boxes that Doritos can buy, we would apply direct proportion:

1 box = $8

X box = $40

Cross-multiplying, we have:

8X = 40

X = 40/8

X = 5 bags.

Number of bags = 5 bags.

In order to simplify this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 100 + 2(25 - 5²)

Expression = 100 + 2(25 - 25)

Expression = 100 + 2(0)

Expression = 100.

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Answer:

Length of RT =  6 mm

Step-by-step explanation:

When the triangles are similar the ratio of corresponding sides are equal.

In given triangles we have ( we can take ratio of two sides also)

[tex]\frac{JI}{RT}=\frac{HI}{SR}[/tex]

We need to find length of RT = x

While length of JI= 8 mm

Length of HI = 12 mm

Length of SR = 9 mm

Putting values in formula and finding length of RT

[tex]\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm[/tex]

So, Length of RT = x = 6 mm

Answer:

1 cake 6 slice

Step-by-step explanation:

just divide

12/2=6

Answer:

x = ?

Step-by-step explanation:

Answer: A is the answer

Step-by-step explanation:

Answer:

We conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

Step-by-step explanation:

We know that when two lines meet or intersect at a point in the coordinate plane, the point where they meet is called the point of intersection.

The point of intersection is termed as the solution of the system of equations on a coordinate plane.

Given that the two lines intersect at (-2, -5)

In other words,

Thus, the point of intersection = (x, y) = (-2, -5)

Thus, we conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

Answer: -2,-5

Step-by-step explanation: I got it right on edge

Answer:

b=320; slope=-30

Step-by-step explanation:

if you look along the y-axis find the spot that the line intercepts and then that's b

now for the slope

find two points on the line, i chose(8 , 120) and (4 , 240)  

use the slope formula: y2-y1 over x2-x1

240-120=120 and 4-8= -4

so the slope is 120/-4 and that can be simplified to 30/-1 or -30

Answer:

0.5 i believe

Step-by-step explanation:

Answer:

answer:

0.5

Step-by-step explanation:

hope it helps

Answer:

5

Step-by-step explanation:

Answer:

✔️The correct system of linear equations:

2x + 3y = 34

3x + 2y = 36

Cost of each roast beef sandwich: $8

Cost of each turkey sandwich: $6

Step-by-step explanation:

Cost of each roast beef sandwich = x

Cost of each turkey sandwich = y

First platter consists of:

2 roast beef sandwiches, which costs 2 × x = 2x, and,

3 turkey sandwiches, which costs 3 × y = 3y.

Total cost of first platter is $34.

Thus, an equation that represents this scenario would be:

2x + 3y = 34.

The other platter consists of:

3 roast beef sandwiches, which costs 3 × x = 3x, and,

2 turkey sandwiches, which costs 2 × y = 2y.

Total cost is $36.

Thus, an equation that represents this scenario would be:

3x + 2y = 36.

The correct system of linear equations would be:

2x + 3y = 34

3x + 2y = 36

Find the value of x and y by solving simultaneously.

Thus:

2x + 3y = 34 ----› Eqn. 1 × 2

3x + 2y = 36 ----› Eqn. 2 × 3

4x + 6y = 68

9x + 6y = 108

Subtract

-5x = - 40

Divide both sides by -5

x = 8

Cost of each roast beef sandwich = x = $8

Substitute x = 8 into eqn. 1.

2x + 3y = 34 ----› Eqn.

2(8) + 3y = 34

16 + 3y = 34

3y = 34 - 16

3y = 18

Divide both sides by 3

y = 6

Cost of each turkey sandwich = y = $6

Answer: 125% and 50 students.

Answer:

100

Step-by-step explanation:

Multiply 50 by 2

Answer: 5/7=0.(714285)

Step-by-step explanation:

[tex]\displaystyle\\\frac{5}{7}=0.(714285)[/tex]

Answer: Dawn's score is 4

Answer: 4

brainlist pls???

Step-by-step explanation:

7-21=14

14-10=4

Answer:

130 pieces of candy in 5 bags

Step-by-step explanation:

234/9 equals 26, that means there would be 26 pieces of candy in 9 bags, therefore 26x5 equals 130, and just to make sure, divide 130/26 to check if its wrong, but it should be 130. :) hope this helps you out!

Answer:

There isn't one!

Step-by-step explanation:

Integers are numbers with no fractional or decimal part. There is no non-fractional or decimal number between two consecutive integers, so the answer is there isn't one!

Answer:

D -4

Step-by-step explanation:

rise over run rise=-12 run= 3 - 12/3 simplified is -4

Answer:

4

Step by step

you move 12 spots to get to 8 from -4 and 3 to get from -1 to 2 then you do 12/3

Answer:

0.09375

Step-by-step explanation:

brainest plz

Answer:

IE = IF (By CPCT)

Step-by-step explanation:

Given:

ABCD is a parallelogram

So,

LINE AC || DC

Computation:

IN ΔAIE and ΔCIF

∠AIE = ∠CIF (Vertical opposite angle)

AI = IC (I is midpoint of line AC)

∠IAE = ∠ICF  (Alternate angle)

So,

ΔAIE ≅ ΔCIF

So,

IE = IF (By CPCT)

She paid 11 dollars total

Step-by-step explanation:

100% of $5 is $10

10% of $10 is $1

10 + 1 = 11

Answer:

9 dollars per dog

Step-by-step explanation:

45/5=9

you divide to find the unit rate per 1 dog walked.

Answer:

A

Step-by-step explanation:

Answer:

C. 10 = 3x + 6

Step-by-step explanation:

10 = 3/2 (2x + 4)

becomes

10 = 3x + 6

Two equal expressions combine to make an equation. Jake made a mistake in step 2 and the value of x is 24. The right answer is A.

When two equal expressions are added together with the aid of the equal sign "=," an equation is created.

You may find the solution to the given equation 1/3x + 7 = 15 as shown below.

1/3x + 7 = 15

Subtract 7 from both sides of the given equation

=> 1/3x + 7 - 7

=15 - 7.

1/3x = 8

Multiply both sides of the given equation by 3,

3 x 1/3x = 3 X 8.

x = 24

Hence, X has a value of 24. Jake also erred on the second step.

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Answer:

my boi jake made a mistake at step 2

Step-by-step explanation:

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

Explanation:

When two letters are placed together without any space between them, this implies multiplication.

gf = g times f

So we'll be multiplying the functions g and f.

There are two ways to approach this problem.

----------------------------------------------

Method 1

First we need to find f(4) and g(4)

f(x) = 2x+3

f(4) = 2*4+3

f(4) = 8+3

f(4) = 11

g(x) = 2x^2-1

g(4) = 2(4)^2-1

g(4) = 2(16)-1

g(4) = 32-1

g(4) = 31

Now we multiply the results

gf(4) = g(4)*f(4)

gf(4) = 11*31

gf(4) = 341

----------------------------------------------

Method 2

We'll multiply g(x) with f(x) like so

gf(x) = g(x)*f(x)

gf(x) = (2x^2-1)*(2x+3)

gf(x) = 2x^2*(2x+3) - 1(2x+3) .... distribute

gf(x) = 4x^3+6x^2-2x-3 .... distribute again

Now plug in x = 4

gf(x) = 4x^3+6x^2-2x-3

gf(4) = 4(4)^3+6(4)^2-2(4)-3

gf(4) = 4(64)+6(16)-2(4)-3

gf(4) = 256+96-8-3

gf(4) = 341

We get the same result. Method 1 may be the better method, but it will depend on your preference.

Answer:

hjgkulihjoj;l

Step-by-step explanation:

The algebraic expression of the phrase "2 times the sum of −3 and m" is 2(-3+m)

Given,

The expression

"2 times the sum of −3 and m"

We know algebraic expression is the expression which consist of variables and constants with the algebraic operation.

Here,

2 times the sum of -3 and m

sum of -3 and m = -3+m

2 times the sum of -3 and m = 2×(-3+m)

The algebraic expression is 2(-3+m)

Hence, The algebraic expression of the phrase "2 times the sum of −3 and m" is 2(-3+m)

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