MATHEMATICS MIDDLE SCHOOL

Which statement is true about the diagram below?

Answers

Answer 1

Answer:

Answer:

x = 22

y = 32

Step-by-step explanation:

The sum of interior angles in a rectangle is 360° so

100° + 5y + 4x + 2x = 360 add like terms

6x + 4y = 260°

Now, we know that the measure of an inscribed angle in a circle is equal to the half of the arc it sees

so if the arc that 100° sees is equal to 200 then the arc 5y sees would be 160 (because perimeter of a circle is 360°)

if 5y = 160 then y = 32

We said 6x + 4y = 260° since we know what y is equal to now we can replace the value

6x + 4×32 = 260

6x + 128 = 260

6x = 132

x = 22

I think there must be a mistake in answering options but this is how we solve this kind of problems.

Answer 2

Answer:

Answer:

To me, none of the answers seem correct.

Step-by-step explanation:

x = 30, y = 20 is 100 + 60 + 120 + 100 which is 380 total, so incorrect

x = 2, y = 2 is 10 + 10 + 8 + 100 which is 128 total, so incorrect

x = 60, y = 25 is 125 + 120 + 240 + 100 which is too great, so incorrect

x = 60, y = 52 is too great, so incorrect

Plz let me know what I did wrong if anyone gets the answer...

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Answers

#1
y= 5x-7
y= -2/3x+3

#2
y=4/5x (+0)
y= -5/4x(+0)

Answer:

y= 5x-7

y= -2/3x+3

and

y=4/5x (+0)

y= -5/4x(+0)

Step-by-step explanation:

If you want you can send me a message and I can explain into further detail :) Have a nice day!

Whats the gcf of 48 and 78

Answers

The greatest common factor (GCF) of 48 and 78 is: 6

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 78: 1, 2, 3, 6, 13, 26, 39

The common factors between the two numbers are 1, 2, 3, and 6, but considering 6 is the highest number out of them, it is the greatest common factor.

we must find prime factoriztion 4 getting GCF

FACTORS OF 48 : 1,2,3,4,6,8,12,16,24 & 48
FACTORS OF 78 : 1,2,3,6,13,26,39 & 78

WE can see the common factors of 48 and 78 are: 1,2,3 & 6
it means the GCF of 78 & 48 is 6

What is 135% of 115?

Answers

Well, in mathematics, whenever OF is in a sentence, it is mostly represented by multiplication. So this basically means 135% x 115.
As you know, % means over 100(/100). So the actual question is
135/100 x 115.
15525/100
155.25.
Hope i helped.

20.25 or 20&1/4
100%-15
135%-x
100x=2025
*divide each side by 100*
x=20.25
or
20&1/4

to make a shade of lavender paint jon mixes 4 ounces of red tint and 28 ounces of blue tint into one gallon of white paint. if 20 gallons of white paint and 80 ounces of red tint are used, how much blue tint should be added?

Answers

For one gallon of white paint, 28 ounces of blue tint are used. Since we use 20 gallons of white paint, multiply 28 by 20.
28 x 20 = 560
You need to use 560 ounces of blue tint for 20 gallons of white paint.

4+20=24+28=52+80=132
(hope I helped)

when you rotate something 180 degrees in a coordinate plane the values become (-x, y). what if y was already negative?

Answers

I think it would become (-x -y)

Teloria, Maria, and Britt each ordered a pizza. Teloria ate4
7
of hers, Maria ate
3
4
of hers, and Britt ate 5 of her 8 slices. Order the girls, from greatest to least, according to how much of their pizzas they ate

A) Teloria, Maria, and Britt each ordered a pizza. Teloria ate
4
7
of hers, Maria ate
3
4
of hers, and Britt ate 5 of her 8 slices. Order the girls, from greatest to least, according to how much of their pizzas they ate

A) Maria, Teloria, Britt
B) Britt ,Teloria, Maria
C) Teloria, Maria, Britt
D) Maria, Britt, Teloria

Answers

From greatest to least, the order of how much of their pizzas the girls ate is Maria, Britt, and Teloria.

So the answer is (D) Maria, Britt, and Teloria.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To compare how much of their pizzas each girl ate, we need to convert the fractions to a common denominator.

Teloria ate 4/7 of her pizza, which is equal to 4/7 x 1 = 4/7.

Maria ate 3/4 of her pizza, which is equal to 3/4 x 1 = 3/4.

Britt ate 5 out of her 8 slices, which is equal to 5/8.

To convert the fractions to a common denominator, we can multiply 4/7 and 3/4 by 8/8, and multiply 5/8 by 7/7 as follows:

Teloria: 4/7 x 8/8 = 32/56

Maria: 3/4 x 8/8 = 24/32

Britt: 5/8 x 7/7 = 35/56

Now we can compare the fractions as follows:

Britt: 35/56

Teloria: 32/56

Maria: 24/32