#5-10: Identify which line from the graph the following right triangles could lie on.
5.
120
90
6.
10
30
7.
24
18
8.14
21
9.
24
36
10.
16
48

1 2 3 4 5 6 7 8 9 10
Column A
Column B
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

Answer:

24 square units

Step-by-step explanation:

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[tex] \sqrt{4} < \sqrt{8} < \sqrt{9} [/tex]

Thus :

[tex]2 < \sqrt{8} < 3[/tex]

So √8 is between 2 and 3 ,

Which means option three is the correct answer.

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Answer:

D

Step-by-step explanation:

Its an abs value so you have to solve twice. Once for d - 3.5 < or equal to 1.5 which equals 5. You also have to solve for d - 3.5 > or equal to -1.5 which equals 2. So on the graph it has to be less than 5 and greater than 2 so you just connect the two and draw the line over the numbers in between the 2 and 5.

We have:

y = 4x - 5

Lets add 5 in each member:

y + 5 = 4x - 5 + 5

y + 5 = 4x

Divide the entire equation by 4:

[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

Answer:

Step-by-step explanation:

Step one:

given data

P= $1299.99

r=18%= 0.18

minimum rate r= 7%

t=1year

say the account is on simple interest the maximum payment is when the APR is 18%

A=P(1+rt)

A= 1299.99(1+0.18*1)

A= 1299.99(1.18)

A=1533.9882

$1533.9882

The minimum amount is when APR ia 7%

A=P(1+rt)

A= 1299.99(1+0.07*1)

A= 1299.99(1.07)

A=1390.9893

$1390.9893

Answer:

Possible

Step-by-step explanation:

This is done on any floor, the highest or the lowest. Simply drop the egg from one inch above your foot and it will not break. every answer above is wrong. The only way, having 2 eggs, is to starts from the 2º floor.

Answer:

2

Step-by-step explanation:

6-4=2

Answer:

2

Step-by-step explanation:

2 is the answer

Answer:

The answer is 161

Step-by-step explanation:

In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175

Answer:

The answer is 3/0, which is undefined/∞

Step-by-step explanation:

3-0=3

-1+1=0

3/0= undefined or ∞

Answer: 10

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1. x=66

2. x=-3

Step-by-step explanation:

1. x\6-2=9

add 2 to both sides

x\6=11

multiply both sides by 6

x=66

2. -7(3x-4)=91

distribute -7 into parenthesis

-21x+28=91

subtract 28 from both sides

-21x=63

divide both sides by -21

x=-3

Answer:

1: 66 2: -3

Step-by-step explanation:

9+2=11

11=x/6

x=66

-21x+28=91

91-28 = -21x

63=-21x

x = -3

Answer:

a fork

Step-by-step explanation:

Answer:

your right elbow

Step-by-step explanation:

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

1/5 + 2/5 = 3/5

Step-by-step explanation:

your welcome

Answer:

1/5+z=3/5

Step-by-step explanation:

Hence , it is to be quadratic function where a has to be less than zero.

Given that ,

The table contains data on the number of people visiting a historical landmark over a period of one week.

We have to find,

The relationship between the day and the number of visitors.

According to the question,

[tex]y = a\sqrt{x} + b[/tex]

And where x = no. of days = 1

y = no. of visitors = 45

45 = a [tex]\sqrt{1}[/tex] + b

45 = a + b

And When x = 2 and y = 86

86 = [tex]a\sqrt{2} + b[/tex]

Solving the equation for the values of a and b.

From equation 1

45 - a = b

Put the value of b in equation 2

86 = [tex]a\sqrt{2}[/tex] + 45 - a

86 - 45 = [tex]a \sqrt{2} - a[/tex]

41 = a ([tex]\sqrt{2} - 1[/tex] )

[tex]a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}[/tex]

a = 100

Put the value of a = 100

45 = 100 + b

45 - 100 = b

b = -55

The required equation is y = 100[tex]\sqrt{x}[/tex] -55.

When  x = 4

[tex]y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85[/tex]

And when x = 5

[tex]y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60[/tex]

y = 168 ( approx )

Therefore, 168 ≠ 158

Since the function rises less and less in later stage , it can not be a first order function.

So, it is to be quadratic function where a has to be less than zero.

For more information about quadratic equation click the link given below.https://brainly.com/question/2263981

Answer:

D-159

Step-by-step explanation:

The required measure of angle ABD is 142°. Option B is correct.

Given that,
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°

Here,
According to the question,
ΔBDC,

∠BDC + ∠BCD + ∠DBC = 180
52 + 52 + ∠DBC = 180
∠DBC = 180 - 104
∠DBC = 76°
Now,
∠ABD = 360 - ∠DBC / 2
∠ABD = [360 - 76] / 2
∠ABD = 284/2
∠ABD = 142°

Thus, the required measure of angle ABD is 142°. Option B is correct.

Learn more about triangles here:

https://brainly.com/question/2773823

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Answer:

x + 135 = 1450

Step-by-step explanation:

It says that they are trying to increase the output by 135 so you have the variable to show how much they have to make to reach there goal of 1450 next week

I hope this helped you!

Step-by-step explanation:

i hope i didnt answer too late i see that ot says 7 min remaining but oh well  

the answer

equation: (7x-13)+(x+29)+(3x + 5) = 180    (the reason why i put = to 180 is because every triangle adds up to 180 degrees)

first of all add the numbers: 29-13+5 = 21--- then add variables: 7x+3x+x= 11x

you get ur equation as: 11x  + 21 = 180--- 180-21=11x---159=11x--- 159/11=14 9/20

x = 14 9/20 permiter = 88.15 + 43.45 + 48.35 = 179.95

really hope this helps :) good luck

Answer:

Step-by-step explanation:

Option 2 is correct

Answer:

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

the total amount he paid after eating plus tax and tip is

78+6.24+15.6

=$99.84

Answer:

99.84

Step-by-step explanation:

Answer:

ok, so the answer would be 27 hot dogs and 53 tacos salads

Step-by-step explanation:

Answer:

a = 5√7

Step-by-step explanation:

Sides of a right triangle follow the Pythagoras theorem,

By Pythagoras theorem,

(AB)² = (BC)² + (AC)²

c² = a² + b²

If b = 9 and c = 16,

(16)² = a² + 9²

256 = a² + 81

a² = 256 - 81

a = √175

a = 5√7

Therefore, measure of third side a = 5√7

Answer:

$500

Step-by-step explanation:

25*2=50

15*2=30

15(2)+25(2)=80

80(6.25)=500

The graph will be Option C. passing through the point y = -2

The equation of line is y = -2 and the graph will be passing through the point y = -2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Now , the equation of the line is given by

2y + 4 = 0

Subtracting 4 on both sides , we get

2y = -4

Divide by 2 on both sides , we get

y = -2

Therefore , the equation of line is y = -2

So , the line graph will be having a straight line 2 units down on the negative y-axis

Hence , the equation of line is y = -2 and the graph will be passing through the point y = -2

To learn more about equation of line click :

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Answer:

y = 2/5x + 1/5

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = 2/5(x - (-3))

y - 1 = 2/5(x + 3)

y - 1 = 2/5x + 6/5

y = 2/5x + 6/5 - 5/5 (since 1 equals to 1/1, 2/2, 3/3, etc.)

y = 2/5x + 1/5

Answer:

Original answer: 923.23

Can't have a fraction of a student, so I'd probably say 923

Step-by-step explanation:

Initial students: 847

Interest: 9%

You want 109%

Multiply: 847(1.09)