3
Seven students cut 5 inches of thread from a spool for a school project. What number represents the change in the
amount of the thread on the spool?
O-40 inches
3
O-35 inches
-29 inches
-26 inches

Answer:

5) 9

6) 11 2/3

Step-by-step explanation:

Use the Pythagorean Theorem.

5)  a²+5.6²=10.6²

a²+31.36=112.36

a²=81

a=√81

a=9

6) a²+4²=12.3333²

a²+16=152.11111

a²=152.11111-16

a²=136.1111

a=√136.1111=11.6666

Answer:

306

Step-by-step explanation:

There are 18 ways to pick the president

Now there are only 17 students left

there are 17 ways to pick the vice president

18 * 17 =306

There are 306 different ways to pick a president and vice president

Answer:

$77,886

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

The table states that:

$201.6 in 2006 is worth $232.957 in 2013.

We want to find:

The value of $90,000 in 2013 in 2006:

$201.6 - $232.957

x - $90000

Applying cross multiplication

[tex]232957x = 201.6*90000[/tex]

[tex]x = \frac{201.6*90000}{232957}[/tex]

[tex]x = 77886[/tex]

$77,886 is the answer

Step-by-step explanation:

to find common ratio (r)

= second term÷first term

Answer:

the answer is 0.7692

Step-by-step explanation:

Answer:

Congruent pairs of triangles:

ΔABD ≅ ΔDCB

ΔABD ≅ ΔEFD - SAS

By using the above two we can state that:

ΔBDC ≅ ΔDFE - by ASA or SSS

because

We can't prove that:

There is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.

Answer:

24

Step-by-step explanation:

+#;$;_;_:;+$hshshsbbsns

Answer:

A!

Step-by-step explanation:

All of the numbers line up in skip counting. (by 3)

Hope this helps! Mark me as brainliest if it does :)

Answer:

The answer is D, 47.1.

Step-by-step explanation:

Circumference is the diameter multiplied by pi, 15 * 3.14 is 47.1, so your current choice is correct.

Answer:

1.58733 ounces

Step-by-step explanation:

45 grams = 1.58733 ounces

(grams to ounces calculator online)

Answer:

The value of x = 28°

Step-by-step explanation:

Explanation:-

Complementary angles:-

Two angles are called Complementary angles when their measures add to 90 degrees

         ∠A + ∠B = 90°

     (x+40)° + 22° = 90°

        x + 62° = 90°

        x = 90 - 62

        x = 28°

Answer:

perpendicular lines

Step-by-step explanation:

Two lines in a plane are said to be perpendicular if they intersect in such a way that the angles formed between them are right angles. In the adjoining e, lines PQ and RS intersect at 0 such that ∠ROQ = ∠ ROP = ∠POS = ∠QOS = 90°. Therefore, we say that PQ is perpendicular to RS

Answer:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Step-by-step explanation:

Given

See attachment for the triangles

Required

Which additional statement proves the similarity of both triangles

From the attachment:

[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]  

The similar sides of both triangles are: ST and XY

So:

[tex]Ratio = ST : XY[/tex]

[tex]Ratio = 27 : 9[/tex]

Divide by 9

[tex]Ratio = 3 : 1[/tex]

Another similar sides are: TW and YZ

So:

[tex]TW : YZ = TW : 8[/tex]

Equate both ratios:

[tex]TW : 8 = 3 : 1[/tex]

Represent as fraction

[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]

[tex]\frac{TW }{ 8 }= 3[/tex]

Multiply both sides by 8

[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]

[tex]TW= 3*8[/tex]

[tex]TW= 24[/tex]

Another similar sides are: SW and XZ

So:

[tex]SW:XZ = SW:5[/tex]

Equate both ratios:

[tex]SW:5 = 3:1[/tex]

Represent as fraction

[tex]\frac{SW}{5} = \frac{3}{1}[/tex]

[tex]\frac{SW}{5} = 3[/tex]

Multiply both sides by 5

[tex]5*\frac{SW}{5} = 3*5[/tex]

[tex]SW = 3*5[/tex]

[tex]SW = 15[/tex]

So, the statement that proves the similarity of the triangles is:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Answer:

Group B has the higher median by 0.5 inches. The IQR for Group A is smaller. IQR for Group B is 2 inches.

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the equation

[tex]y = x - 3[/tex]

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

[tex]y = mx+b[/tex]

[tex]1 = 1(-2) + b[/tex]        ∵ (x, y) = (-2, 1) and m = 1

[tex]1 = -2 + b[/tex]

switch sides

[tex]-2+b = 1[/tex]

add 2 to both sides

[tex]-2 + b + 2 = 1 + 2[/tex]

simplify

[tex]b = 3[/tex]

Thus, the y-intercept b of the parallel line is:  b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

[tex]y = mx + b[/tex]

[tex]y = (1)x + 3[/tex]

[tex]y = x + 3[/tex]

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

It is clear that both lines are parallel.

Step-by-step explanation:

la respuesta no es correcta porque es falsa

Answer:

40 square cm

Step-by-step explanation:

2(l + b) = 28

(l + 4) = 28/2

l + 4 = 14

l = 14 - 4

l = 10 cm

Area = lb = 10*4 = 40 square cm

Answer:

hello! :) have a good day!

20.4

Answer:

D: 4 2/3

Step-by-step explanation:

First convert these mixed numbers into improper fractions:

8/3 x 7/4 =

(8x7)/(3x4)= 56/12.

Now simplify 56/12, which would be 14/3. Now convert this into a mixed number: 4 2/3.

What is 2 2/3 x 1 3/4                                                              estimate: 2 ₓ 4 Or 8

             5 / 2 ₓ 15/ 4 = 75/8

                               =9 3/8                                                 Convert to mixed                                  

                                                                                        number, divide 75 by 8.

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.

Answer:

x does y does not

Step-by-step explanation:

Answer:

12, 17, 30.

Step-by-step explanation:

Given

(a) to (d)

Required

Which cannot represent a triangle

The rule to use is:

[tex]a + b > c[/tex]

So, we have: 12, 17, 30.

[tex]12 + 17 > 30[/tex] ===> [tex]29 > 30[/tex] --- False

[tex]12 + 30 > 17[/tex] ==> [tex]43 > 17[/tex]

[tex]17 + 30 > 12[/tex]

Because, one of the inequalities is False, then this can not represent the sides of a triangle.

Answer:

D. 4.15c + .94s

Step-by-step explanation:

4.15 is how much the cashews cost per pound, this multiplied by c would be the full cost of however many pounds of cashews are being purchased.

.94 is how much the sugar costs per pound, this multiplied by s would be the full cost of however many pounds of sugar is being purchased.

to get the full cost of both, you add these equations together (4.15c + .94s)

Answer:

Step-by-step explanation:

The midpoint between two points is just the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

mp=((-6-2)/2, (-8-6)/2)

mp=(-4, -7)

Answer:

I think it is true

Step-by-step explanation:

If it is a loan

t must represent the loan meaning

t = 30

(i know it makes no sense it's how i thought hope this helped)

Answer:

True

Step-by-step explanation:

I think true because in an equation, t would represent the loan like it is in the picture.  

Answer:

y = 10 x = 4

Step-by-step explanation:

Answer:

y = 10x - 30

Step-by-step explanation:

x = 5

5 x 10 = 50

50 - 30 = 20

y = 20

x = 6

6 x 10 = 60

60 - 30 = 30

y = 30

x = 7

7 x 10 = 70

70 - 30 = 40

y = 40

x = 8

8 x 10 = 80

80 - 30 = 50

y = 50

Answer:

10407

Step-by-step explanation: