Consider the graph shown. What is the slope-intercept form of the equation of the line?

Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

Answer:

40°

Step-by-step explanation:

The lines are parallel. We know this because of the 2 arrows that are on the lines, indicating they are parallel.

Therefore, the 2 angles are congruent by the Corresponding Angle Theorem.

So, we can set the 2 angles equal to each other.

40=h

Therefore, angle h is 40 degrees.

Answer:

x=6

Step-by-step explanation:

We can use ratios to determine the value of x

x           9

------ = ----------

10          15

Using cross products

15x = 9*10

15x = 90

Divide each side by 15

15x/15 =90/15

x = 6

Answer:

6.

Step-by-step explanation:

Triangles PQR and P'Q'R' are similar.

By similar triangles, the corresponding sides are in the same ratio

x / 10 = 9/15

15x = 90

x = 6.

Answer:

D is the right ans

Step-by-step explanation:

if i write step by step it will take a long time so quick

Answer:

D.

Step-by-step explanation:

Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: [tex]x^2-8x-9[/tex]. We can factor this.

[tex]x^2-8x-9=(x-9)(x+1)[/tex]

(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).

Now, let's simplify the denominator. The denominator is:

[tex]5x^2-45x=5x(x-9)[/tex]

Thus, all together we will have:

[tex]\frac{(x-9)(x+1)}{5x(x-9)}[/tex]

We can cancel the (x-9) term. Thus:

[tex]=\frac{x+1}{5x}[/tex]

Answer: option 4) 15°, 30°, 135°

Step-by-step explanation: because the triangle angle rule says that all the intererior angles of the triangle sum upto 180° always

Answer:

4) 15°,30°,135°

Step-by-step explanation:

The interior angles of a triangle will add up to 180°, so we have to choose an answer choice with angles that all add up to 180.

Answer #4 is correct because 15 + 30 + 135 = 180.

None of the ratios is valid implies no angle lies in quadrant 4.

Angles lie in quadrant 4. Without using a calculator, it is to determine which ratio is valid from the following 1) sin =0.789, 2) tan =0.573, 3) sin =-1.083 and 4) tan = 0.841.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Since in 4th quadrat only values of cos are positive other else operators tend to give negative value so,
1 ) sin = 0.789, here ratio is positive so it does not lies in quadrant 4.
2) tan = 0.573, it is also positive so it does not lies in quadrant 4.
3) sin = -1.083 this ratio is not possible because sin lies between (-1 to +1).
4) tan =0.841, it is also positive so it does not lie in quadrant 4.

Thus, None of the ratios is valid implies no angle lies in quadrant 4.

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Answer:

(B)the amount earned is a function of the number of hours worked.

Step-by-step explanation:

Let the time worked (in hours) worked =t

Let the amount earned =A

From the graph

When t=1, A= $10

When t=2, A= $20

When t=3, A= $30

When t=4, A= $40

When t=5, A= $50

We observe that as t increases, the amount increases.

We can, therefore, conclude that the amount earned is a function of the number of hours worked.

Answer:

its 60198.6

Step-by-step explanation:

use the formula present price=orginal price(1-rate/100)^years

Answer:

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

[tex] \frac{x}{5} [/tex]

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

[tex] \frac{x}{5} = x - 400[/tex]

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

Answer:

20

Step-by-step explanation:

they are asking you what divided by 100 is 5 and the answer is 20.

Answer:

a

Step-by-step explanation:

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2         QR

------- = ------------

18           17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2          6.5

------- = ------------

18           XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

Answer: 2.6 for the first one

Step-by-step explanation:

First absolute deviation: 1 6 5 8 3 7 1 4 10 9

Solve using the formula and get 2.6

For the second one I do not understand the digits. Therefore I cannot solve it.

I am very sorry, please forgive me

The mean absolute deviation of the data is M = 2.6

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the total number of points be n

Now , the value of n = 10

And , the number of points on each data is given by set A

Now , the value of set A = { 1 , 6 , 5 , 8 , 3 , 7 , 1 , 4 , 10 , 9 }

So , the total sum of data = 1 + 6 + 5 + 8 + 3 + 7 + 1 + 4 + 10 + 9

The total sum of data = 54

Now , the mean number of data points = 54 / 10 = 5.4

And , the mean deviation is M

M = 1/10 | [ ( 1 - 5.4 ) + ( 6 - 5.4 ) + ( 5 - 5.4 ) + ( 8 - 5.4 ) + | ( 3 - 5.4 ) | + ( 7 - 5.4 ) + ( 1 - 5.4 ) + ( 4 - 5.4 ) + ( 10 - 5.4 ) + ( 9 - 5.4 ) |

M = ( 1/10 ) [ 4.4 + 0.6 + 0.4 + 2.6 + 2.4 + 1.6 + 4.4 + 1.4 + 4.6 + 3.6 ]

M = ( 1/10 ) [ 26 ]

M = 2.6

Therefore , the value of M is 2.6

Hence , the mean deviation is 2.6

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Answer:

Explained below.

Step-by-step explanation:

A standard abacus is a traditional method used to perform basic mathematical calculations, such as addition, subtraction, multiplication and division.

There are 5 rods on a standard abacus.

The shape of the abacus has a series of vertical rods on which a number of beads are placed.

Each bead on a particular rod is considered as 1 unit, i.e. if there are three beads on a rod, the value of that rod is 3.

The last rod on an abacus is for the unit's place, the second last rod is for the ten's place, the third last rod is for the hundredth's place, the fourth last rod is for the thousandth's place and the fifth rod is for the ten thousandth's place.

Answer:

a = -20/9.

Step-by-step explanation:

We can write it as

f(x) = a(x - 7)(x + 1)

When x = -2 and y = -20   (at the point(-2, -20):

-20 = a(-2 -7)(-2 + 1)

-20 = -9*-1 a

9a = -20

a = -20/9.

Hey there! :)

Answer:

We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:

Triangle A:

13² = 12² + b²

169 = 144 + b²

25 = b²

b, or the other leg, = 5 cm.

--------------------------------------

Triangle B:

c² = 12² + 5²

c² = 144 + 25

c² = 169

c = 13 cm.

---------------

Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.

Answer:

10 more men

Step-by-step explanation:

1.5 road made per man

Answer:

(4, -1) is not a solution to the system

Step-by-step explanation:

The first point: (4,-1)  doesn't satisfy the first inequality:

[tex]y>x-5\\(-1) > 4-5\\-1>-1[/tex]

since we get to an absurd, because -1 cannot be strictly smaller than -1!

Answer:

Angle C measures:  [tex]71.52^o[/tex]

Step-by-step explanation:

When you know the length of the three sides of the triangle and not a single angle, the law of sines is of no use. You need to use the law of cosines. In your case, since you want to find angle "C", you use the following;

[tex]c^2=a^2+b^2-2\,a\,b\,cos(C)\\2\,a\,b\,cos(C)=a^2+b^2-c^2\\cos(C)=\frac{a^2+b^2-c^2}{2\,a\,b} \\cos(C)=\frac{16^2+21^2-22^2}{2\,(16)\,(21)}\\cos(C)=0.3169643\\C=arccos(0.3169643)\\C=71.52^o[/tex]

Answer:

since 3x^2-7x+4=0 is in the form ax^2+bx+c=0, a=3, b=-7, c=4

Answer:A triangle ABC with positive integer side lengths has perimeter 35, centroid G, and incenter I. If ∠GIC=90∘, what is the length of AB¯¯¯¯¯¯¯¯?

We use barycentric coordinates with reference triangle △ABC. Letting k=a+b+c, we have the displacement vectors GI→=(13−ak,13−bk,13−ck) and IC→=(ak,bk,ck−1). EFFT gives us

a2(4b+c3k−13−2bck2)+b2(4a+c3k−13−2ack2)+c2(a+b3k−2abk2)=0

. Multiplying by 3k2, writing k=a+b+c, and expanding out, the equation turns into

a2((a+b+c)(3b−a)−6bc)+b2((a+b+c)(3a−b)−6ac)+c2((a+b)(a+b+c)−6ab)=0.

Expanding further and factoring an a+b+c out, we have

(a+b+c)((a+b)(4ab−a2−b2+c2)−6abc)=0.

Notice that when c=a+b the term (a+b)(4ab−a2−b2+c2)−6abc) vanishes, so we factor further to obtain

(a+b+c)(c−a−b)(a2+b2+c(a+b)−4ab)=0⟹a2+b2+c(a+b)−4ab=0⟹(a+b)2+c(a+b)=6ab⟹35(35−c)=6ab.

From the triangle inequality, we have c≤17 and we also know 6|35−c; it's now easy to find a triple (a,b,c)=(10,14,11) satisfying the equation above, and the answer is 11.

Hope this helps......

Answer:

x=6

Step-by-step explanation:

Answer:

x = 6

hope this helps!

Answer:

 I think its D?

         Hope this helped!

Answer:

false

Step-by-step explanation:

because a<0 and b<0 then ab>0

Answer:

False

Step-by-step explanation:

You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false

Answer:

Yes

Step-by-step explanation:

Estimated difference > Actual difference. Hence, 1000 is the approximate answer. 2. We can estimate the product and quotient of numbers by rounding off the numbers to the greatest place.

Answer:

-x³ - 6x - 2

Step-by-step explanation:

We can either use long division or synthetic division to help us divide this. You could also factor to get your answer.

Answer:

  H.  $12.50

Step-by-step explanation:

Misha wants 1 1/4 yards for each of two straps, for a total of 2 1/2 yards. The ribbon costs $5 per yard, so the total cost for the two straps is ...

  (2 1/2 yards)($5 /yard) = $12.50

Answer:

(-2,-3) and (2,-3).

Step-by-step explanation:

It is given that x ∈ {-2, 0, 2} and y ∈ {-3, -1, 0, 3} .

The given equation is

[tex]y=1-x^2[/tex]

At x=-2,

[tex]y=1-(-2)^2=1-4=-3\in y[/tex]

At x=0,

[tex]y=1-(0)^2=1-0=1\notin y[/tex]

At x=2,

[tex]y=1-(2)^2=1-4=-3\in y[/tex]

Therefore, the solution of given equation are (-2,-3) and (2,-3).

Answer:

Hello!

______________________

Your answer would be (B)

Step-by-step explanation: Because it is all negative when you divide by the positive number.

Hope this helped.

The sign of the quotient of positive and negative decimals correct is (B)

We have determined which rule about the sign of the quotient of positive and negative decimals is correct.

A positive question is one that can be falsifiable, or put more simply, has a yes/no answer. Think of a positive question as a how is the world question.

The sign of the quotient of positive and negative decimals is correct Because it is all negative when you divide by the positive number.

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Answer:

             [tex]\bold{y+1=5(x+1)}[/tex]

Step-by-step explanation:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5[/tex]

[tex]y-y_1=m(x-x_1)[/tex]      - point-slope form of Equation of the Line

[tex]x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)[/tex]