MATHEMATICS MIDDLE SCHOOL

What is the greatest common factor (GCF) of 60 and 84?

Answers

Answer 1

Answer:

$\text{Hey there!}$

$\text{What is the Greatest Common Factor of 60 \& 84?}$

$\text{Let's pull out the factors of each of the numbers to make it easier to solve!}$

$\mathsf{60: 1,2,3,4,5,6,10,12,15,20,30,\&\ 60}$

$\mathsf{84: 1,2,3,4,6,7,12,14,21,28,42, \& \ 84}$

$\text{Your like terms: 1, 2 ,3, 4, 6, \& 12}$

$\text{The BIGGEST/GREATEST number of the like terms is 12}$

$\boxed{\boxed{\mathsf{Thus, your\ answer\ is:\boxed{\mathsf{12}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frac{\frak{LoveYourselfFirst}}{:)}$

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If m BCD = 21° and mEF = 33°, determine MABD using the appropriate theorems and postulates.

Answers

m(ar ABD) = 54°

Solution:

The image of the question is attached below.

Given data:

m∠BCD = 21° and m(ar EF) = 33°

By central angle theorem,

The measure of a central angle is equal to the measure of the intercepted arc.

m (ar EF) = m∠ECF

m∠EFC = 33°

By vertical angle theorem,

If two lines are intersecting, then vertically opposite angles are equal.

⇒ m∠ACB = m∠ECF

⇒ m∠ACB = 33°

m∠ACD = m∠ACB + m∠BCD

= 33° + 21°

m∠ACD = 54°

By central angle theorem,

m(ar ABD) = m∠ACD

m(ar ABD) = 54°

If f(9)=7, then the point ___________ is on the graph of f.

Answers

Answer:

(9,7)

Step-by-step explanation:

F(a)=b means the point (a,b) is on the graph of F

Final answer:

The point that is on the graph of the function f, given f(9)=7, is (9, 7). This results because 9 is the input (x-coordinate) and 7 is the output (y-coordinate) of the function.

Explanation:

In mathematics, particularly in graphing functions, each point on the graph of a function f is represented by an ordered pair: the input (x-coordinate) and the output (y-coordinate). When you are given that f(9)=7, this essentially means that when the input is 9, the output is 7. Therefore, the point that is on the graph of the function f is (9, 7).

Learn more about Graphing Functions

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Jan,Mya, and sara ran a total of 64 miles last week. Jan and Mya ran the same number of miles. Sarah ran 8 less miles than Maya. How many miles did Sarah run?

Answers

Jan, Maya and Sarah run a total of 64 miles per week
How many miles did Sarah run if she ran less than 8 miles compare to Maya and Jan
Jan and Maya = x
Sarah = x
Total miles = 64

=> 64 = x + x + x-8
=> 64 = 3x – 8
=> 72 = 3x
=> x = 24
Since Jan and Maya ran the same miles, they ran 24 miles each
Since Sarah is 8 less than Maya’s and Jan’s ran each
=> x – 8
=> 24 -8
=> 16
Sarah ran 16 miles in a week.

Tara wrote the expression 7 times D plus 4 in her notebook she used the associative or community or distributive party to right the equality expression 7D plus 28

Answers

Answer:

distributive property

Step-by-step explanation:

Yesterday, a Bakery baked 54 loaves of bread in 20 minutes today the bakery needs to bake 375 loaves of bread at this rate predict how long it would take to bake the bread

Answers

There are 54 can go into 375, 6 times. So if 54 can be done in 20 mins, you do 6 x 20 =120mins. Then you divide by 60 mins and you'll get 2 hours. so 2 hours is your answer.

it would take about 2 hours and 20 mins but they would have 3 leftovr

Which describes the sequence of transformations used to obtain the image (triangle A’) from the pre-image (triangle A)?dilation by a scale factor of 2, then rotation of 180° about the origin
dilation by a scale factor of 2, then a reflection over the x-axis
dilation by a scale factor of 1/2, then a rotation of 180° about the origin
dilation by a scale factor of 1/2. then a reflection over the x-axis

Answers

Answer:

C : dilation by a scale factor of 1/2, then a rotation of 180° about the origin

Step-by-step explanation:

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