In which step did Viet make an error?

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:

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:

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:

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:

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:

o. k this is a required answere

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:

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:

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:

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

Step-by-step explanation:

to find common ratio (r)

= second term÷first term

Answer:

24

Step-by-step explanation:

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

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:

I believes the answer is B

Step-by-step explanation:

I said that because for it to be linear the branch needs to add up by the same number to give for the next two year therefor when we look at the picture   the branch measure are not stable so the answer is exponential.

Hope that it help!

Answer:

I believe it is D. at least -4 and also D. greater than 8

Step-by-step explanation:

The solution set includes all values of x that are a. no more than -4 or d. greater than 8.

Comparing linear expressions which are non equal by inequity signs.

According to the given data.

Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.

For 3 - 2x ≥ 11

3 - 2x ≥ 11

- 2x ≥ 11 - 3

-2x ≥ 8

 - x ≥ 4

Now make x positive by moving it to the other side and this also switches the inequality.

∴ x ≤ - 4.

For x + 6 > 14

x + 6 > 14

x > 14 - 6

x > 8.

So we have two value of x one is less than or equal to -4 and the other is greater than 8.

Learn more about inequalities here :

https://brainly.com/question/20383699

#SPJ6

Answer:

x does y does not

Step-by-step explanation:

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.

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 Bike trail

Step-by-step explanation:

Answer:

Bike trail

Step-by-step explanation:

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

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:

y=4,x=1

pink box- 10x+2y=18

Step-by-step explanation:

(5x+y =9)2

10x-7y=-18

10x+2y=18

10x-7y=-18

9y=36

y=4

x=1

if my answer helps please mark as brainliest.

Answer:

Pink box: 10x+2y=18

Solution: x=1, y=4

Step-by-step explanation:

2(5x+y=9)

  10x-7y=-18

10x+2y=18

10x-7y=-18

9y=36

y=4

5x+y=9

5x+4=9

5x=5

x=1

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:

1.58733 ounces

Step-by-step explanation:

45 grams = 1.58733 ounces

(grams to ounces calculator online)

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

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:

Hi, everybody, today I'm going to answer this question for you, I took the unit test review, I only got one wrong to be honest, I will tell you which one that was and it's answer, but for now let me answer this question for you. The guy below no offense but you were wrong, the real answer is

the lower quartile and the maximum

the minimum and the upper quartile

I was able to get these two right, and a bonus question with it's own answer.

Mrs. Barnes recorded the grades her students earned on the last chapter test in the frequency table below. The frequency table will be used to make a histogram.

Test Score

Number of Students

31 - 40

1

41 - 50

2

51 - 60

4

61 - 70

6

71 - 80

11

81 - 90

5

91 - 100

4

Which chart has the correct setup for Mrs. Barnes’ histogram?

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 31 to 100, number of students, test scores.

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 0 to 12, number of students, test scores.

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 7, 0 to 12, test scores, number of students.

A 2-column table with 4 rows titled Mrs. Barnes's Histogram. Column 1 has entries interval used, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 7, 31 to 100, test scores, number of students.

The answer is b, I did a and got it wrong, and it told me the answer is b.

Step-by-step explanation:

Answer:

The answer is B and D the guy above is right!!!(2 and 4)

Step-by-step explanation:

Answer:

its upside down

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

-2/x²-1

Step-by-step explanation:

p(x)-q(x)

(1/x+1) - (1/x-1)

(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))

x-1-x-1 / x²-1

-2/x²-1

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)