MATHEMATICS MIDDLE SCHOOL

If 1,090 ducks swim in a pond and 286 swim away how many are left

Answers

Answer 1

Answer:

Answer:

804

Step-by-step explanation:

1,090-286=804

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there are 350 students at miller middle school 12/25 of the students are girls.how many students are boys

Answers

There are 350 students at miller middle school. - it's 25/25
Girls - 12/25 of the students
This means that 25/25-12/25=13/25 of the students are boys.
350*13/25=182 students are boys.

Triangle TUV is similar to triangle XYZ. Which of the following statements is true?

Answers

Answer:

Option B. The slope of VT is equal to the slope of ZX

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

step 1

Find the slope VT

we have

V(-7,-3),T(-4,0)

substitute in the formula

$m=(0+3)/(-4+7)$

$m=(3)/(3)$

$m_V_T=1$

step 2

Find the slope ZX

we have

Z(0,4),X(6,10)

substitute in the formula

$m=(10-4)/(6-0)$

$m=(6)/(6)$

$m_Z_X=1$

therefore

The slope of VT is equal to the slope of ZX

Answer:

The slope of VT is equal to the slope of ZX.

Step-by-step explanation:

Two triangles are similar if the slopes of corresponding sides are equal.

In triangle TUV, TU is vertical, so the slope is undefined. The side UV is horizontal, so the slope is zero.

Determine the slope of the VT using the slope formula. Point V is at (-7, -3), and point T is at (-4, 0).

slope=y^2-y1/x^2-x1

=0-(-3)/-4-(-7)

=3/3

In triangle XYZ, XY is vertical, so the slope is undefined. The side YZ is horizontal, so the slope is zero.

Determine the slope of the ZX using the slope formula. Point Z is at (0, 4), and point X is at (6, 10).

slope=y^2-y1/x^2-x1

=10-4/6-0

=6/6

Compare the slopes of corresponding sides of the two triangles.

Sides TU and XY have undefined slopes.

Sides UV and YZ have zero slopes.

Sides VT and ZX have slopes of 1.

Therefore, the following statement is true.

The slope of VT is equal to the slope of ZX.

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Roni donates 5% of her paycheck to a local charity and puts 20% of her paycheck in a savings account. If Roni's paycheck is $2,285.00, which of the following is closest to the amount which will go to charity and savings?A.
$457
B.
$1,028
C.
$571
D.
$114

Answers

Answer:

C. The closest amount which will go to charity and savings is $571.

Step-by-step explanation:

The amount of the paycheck = $2,285.00

Now, the amount donated to charity = 5%

Calculating the amount of charity, we get:

5 % of $2,285.00 = $(5)/(100) * 2,285.00 = 114.25$

So, the total amount generate to the charity = $114.25 ... (1)

Also amount put in savings = 20%

Calculating the amount of savings, we get:

20 % of $2,285.00 = $(20)/(100) * 2,285.00 = 457$

So, the total amount saved = $457 ... (2)

Now, the total amount donated + saved = ( $114.25) + ($457)

= $571. 25

Hence, the closest amount which will go to charity and savings is $571.

"Find the missing side lengths in each pair of similar figures." Someone explain please

Answers

1. For triangle ABC, the value of 'x' and 'y' are 15 and 20 respectively.

2. For triangle XYZ, the value of 'x' and 'y' are 17 and 8 respectively.

What is a triangle?

A triangle is a two-dimensionalgeometrical figure that has three sides, three interior angles, and three vertices.

1. ΔABC and ΔXYZ are similar.

Therefore, $(AB)/(XY) = (25)/(10)$

⇒ $(AB)/(XY) = 2.5$

Here, $AC = x, XZ = 6$

Therefore, $(AC)/(XZ) = 2.5$

⇒ $AC = 2.5(XZ)$

⇒ $x = (2.5)(6)$

⇒ $x = 15$

Again, $CB = y, ZY = 8$

$(CB)/(ZY)= 2.5$

⇒ $(y)/(8) = 2.5$

⇒ $y = (2.5) (8)$

⇒ $y = 20$

2. For ΔABC

$= \sqrt{AB^(2) - AC^(2)}\n= \sqrt{34^(2) - 16^(2)}\n= √(900)\n= 30$ (Side can't be negative.)

Here, ΔABC and ΔXYZ are similar.

Therefore,

$(BC)/(ZY)\n= (30)/(15)\n= 2$

Now, $AB = 34, XY = x$

Therefore, $(AB)/(XY) = 2$

⇒ $(34)/(x) = 2$

⇒ $x = (34)/(2)$

⇒ $x = 17$

Again, $AC = 16, XZ = y$

Therefore, $(AC)/(XZ) = (16)/(y) = 2$

⇒ $(16)/(y) = 2$

⇒ $y = (16)/(2)$

⇒ $y = 8$

Learn more about a triangle here: brainly.com/question/2338119

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AB is proportional to XY since they are similar triangles making it 25:10 or 5:2
so then AC:XZ would be 5x:2x and 5x:6 so then its 15:6 since x is 3 basically set up proportions and so value of the big triangle to the small triangle would be at rails os 5:2

The pair of polygons is similar. find the value of x. answer on picture

Answers

By using proportion, the value of x is,

⇒ x = 30

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

the pair of polygons is similar.

Hence, By using proportion we get;

⇒ 30/12 = 75/x

Solve for x by cross multiply,

⇒ x = 75 x 12 / 30

⇒ x = 30

Thus, By using proportion, the value of x is,

⇒ x = 30

Learn more about the proportion visit:

brainly.com/question/1496357

#SPJ1

30/75 = 12/x
30*x=75*12
30x=900/:30
x=30

6x9 = (6 * 5) + (6
)
What is the missing number

Answers

Answer:

Step-by-step explanation:

Answer:

6x9=54=(6*5)+(6*4)

Step-by-step explanation:

6x9=54=(6*5)+(6*4)

6x9=54

54 is the number you are trying to get

6*5= 30

so now you need something to add up to 54

6*4=24

24+30=54

Other Questions

#17 PLZ help I don't know what to do?!?!?!

Nagaraj has a party-length sandwich that is 55 inches long and is to be cut into three pieces. The middle piece will be 4 inches longer than the shortest piece, and the shortest piece will be 9 inches shorter than the longest piece. How long will the pieces be?

Starting time 6:57 pm elapsed time 47 minutes

Share £40 in the ratio 1:2:5