Which two triangles are congruent?
Which two triangles are congruent? - 1

Answers

Answer 1
Answer:
Triangles ABC and QRS are congruent.
Both of them are 4 units wide and 3 units top-to-bottom.

Triangle DEF is not the same size and shape as any other triangle,
and neither is triangle XYZ.


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Which is bigger 7/8 or 3/4?

Answers

to compare fractions to see which is greater or lesser we need to bring the fractions to a common denominator.

the denominators of the 2 fractions , 7/8 and 3/4 are 8 and 4 respectively.
we can multiply both numerator and denominator of 3/4 by 2 to get --> 6/8.
(3*2)/(4*2) =  (6)/(8)
then both 7/8 and 6/8 have same denominator and we can compare then. when denominator is same the bigger the numerator, greater the fraction is.
from 7/8 and 6/8,    7/8 is the larger fraction
answer is 7/8

Answer:

(7)/(8)>(3)/(4)

7/8 is bigger

Step-by-step explanation:

Given : Two fractions (7)/(8) or  (3)/(4)

To find : Which is bigger in the given fractions.

Solution :

First we compare the fractions to see which is greater by taking the fractions to a common denominator.

The denominator of the given fractions (7)/(8) and (3)/(4) are 8 and 4 respectively.

Now, we have to make the denominator same

In  (7)/(8) multiply numerator and denominator by 4

=(7*4)/(8*4)=(28)/(32)

In  (3)/(4) multiply numerator and denominator by 8

=(3*8)/(4*8)=(24)/(32)

Now, the denominator is same so greater the numerator is greater the fraction.

So,(28)/(32)>(24)/(32)

Therefore,(7)/(8)>(3)/(4)

Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some bracelets that cost $4.50 each, including tax. Write an equation to determine x, the maximum number of bracelets Mr. Gonzales could buy. Equation _____________________. Solve the equation to determine the number of bracelets Mr. Gonzales could by. Show your work. Answer _____________________ bracelets

Answers

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

y=4.5x+29 put y=0 so you can solve
0=4.5x+29 minus 29 on both sides to cancel it out
-29=4.5x divide by 4.5 on both sides to find x
-6.44444...=x round to nearest whole number which would be 6 bc he can't have 6.44444 bracelets

What is the solution to the proportion?  X/45=8/18 Answers: A. X=16 B. X=20 C. X=35 D. X=101.25

Answers

find their lcm which is 90

2x=40
x=20

The area of a rectangle with width x and length 5x is 5x2. What does the coefficient 5 mean in terms of the problem?

Answers

Answer:

The length is 5 times the width

Step-by-step explanation:

Let

W ----> the width of the rectangle

L ----> the length of the rectangle

we know that

The area of rectangle is equal to

A=LW

In this problem we have

L=5x ----> equation A

W=x ----> equation B

substitute equation B in equation A

L=5W

therefore

The length is 5 times the width

Wallpaper was applied to one rectangular wall of a large room. The dimensions of the wall is 42 feet on one side and the other side 25.5 feet. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?PLZ HELP ASAP!!!!!!!

Answers

Answer: $0.72


Step-by-step explanation:

Given The dimensions of the rectangular wall of a large room.

Length of the rectangular wall= 42 feet

Width of the rectangular wall= 25.5 feet

Then the area of the rectangular wall =length*\ width

=42*25.5=1071\ square feet

The cost of the wallpaper = $771.12

The cost of the wallpaper per square foot=\frac{\text{total cost of wallpaper}}{\text{area of the wall}}

=(771.12)/(1071)\n\n=(77112)/(107100)=(72)/(100)=\$0.72

Hence, the cost of the wallpaper per square foot = $0.72

.72¢ per square foot. 
In order to find this answer, first you need to find out how many square feet the wall is. Multiply the dimensions ( 42 x2 5.5), and that would give you the answer. (1,071). Now that we have the total square footage, you can cross multiply to find out how much 1 square foot would cost.    1,071       1
                                                                                          –––––– x ––––
                                                                                           771.12.      ?
Cross multiply to get the answer .72

How do I find the missing measurements?

Answers

Answer:

CD = 10

AD = 22

EC = 13

AC = 26

∠CAD = 23°

∠BAC = 47°

∠ADC  =110°

Step-by-step explanation:

A parallelogram is a quadrilateral with two sets of opposite parallel lines.

Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.

Now lets find the values required,

CD = AB (Opposite sides are equal in length)

But, AB= 10 (given) therefore CD = 10.

AD = BC (Opposite sides are equal in length)

But, BC= 22 (given) therefore AD = 22.

EC = AE (Diagonals bisect each other)

But, AE= 13 (given) therefore EC = 13

AC = AE + EC

= 13+13

AC =26

∠CAD = ∠BCA (Alternate interior angles are equal)

But, ∠BCA = 23° therefore, ∠CAD = 23°

∠BAC = ∠ACD (Alternate interior angles are equal)

But, ∠ACD = 47° therefore, ∠BAC = 47°

∠ADC + ∠BCD = 180° (Consecutive interior angles)

But,  ∠BCD = 23°+47°=70°

∠ADC = 180°- ∠BCD

           =180°-70°

∠ADC  =110°