a) Solve 3(x – 5) = 18

Answer:

x = 4

Step-by-step explanation:

If a line is parallel to a side of the triangle and intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{2}{4}[/tex] = [tex]\frac{x-1}{6}[/tex] ( cross- multiply )

4(x - 1) = 12 ( divide both sides by 4 )

x - 1 = 3 ( add 1 to both sides )

x = 4

The numbers that make the result a whole number are 20 for x and 2 for the gap number.

The first step would be to identify the result of this expression and then add the number that can make this result a whole number.

Based on this, the possible values for x and the number in the gap are:

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Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Answer:

Depends. Usually it goes across the graph but other times you'll have a vertical or horizontal one. Depending on what the points were.

Answer:

4x + 2y = 7

Step-by-step explanation:

The standard form equation goes as follows: Ax + By = C

We know what A, B, and C is so all we need to do is fill them in.

Answer:

12 bicycles

5 tricycles

Step-by-step explanation:

[tex]x + y = 17\\2x + 3y = 39\\\\2x + 2y = 34\\2x + 3y = 39\\\\y = 5\\\\2x + 2 * 5 = 34\\2x + 10 = 34\\2x = 24\\x = 12[/tex]

Answer:

x=2

4-8=-4

-4(-4)=-16

-16-(-4)=-10

Answer: The answer is A

Step-by-step explanation: because 5x-30= -150 because I looked it up

Answer:

B. The value of y can be negative.

Step-by-step explanation:

The value of y can be negative, which means the beekeeper wasn't able to sell a lot of jars that could compensate the amount he paid for the booth. It also means he didn't have any profit, rather, he incurred a loss.

For example, if the beekeeper sold only 5 jars of honey, the solution will look like this:

Let x be the number of jars of honey the beekeeper sold.

This means that the beekeeper has a loss of $5.

Answer:

y =3 x

Step-by-step explanation:

The standard equation of a line in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the line 3x - y = 5

Get the slope

- y = -3x + 5

y = 3x - 5

Slope m  = 3

Substitute m = 3 and (-1, -5) into the given formula

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

y+5 = 3(x+1)

y + 3 = 3x+3

y = 3x + 3 - 3

y = 3x

Hence the equation in slope intercept form is y =3 x

Answer:

AC = XY

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of the other triangle.

In Δ ABC and ΔXYZ ,∠B=∠X=90. This means that triangle ABC and triangle XYZ are right angled triangle since one of their angles is 90 degrees.

The hypotenuse is the side opposite to right angle (90 degrees).

Therefore AC is the hypotenuse of triangle ABC and YZ is the hypotenuse of triangle XYZ.

If the hypotenuse and one leg of a right angled triangle is equal to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent by RHS rule.

Since BC = XY, for Δ ABC congruent to ΔXYZ by R.H.S condition, the hypotenuse have to be equal, i.e. AC = XY

i would but i need the picture

Answer:

The slope of the line is un-defined

Step-by-step explanation:

Explanation:-

Given points are ( -10 , 4) and (-10 ,8)

Slope of the line

 [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m = \frac{8-4 }{-10-(-10}) = \frac{4}{-10+10} = \frac{4}{0}[/tex]

m = ∞

The slope of the line is un-defined

Answer:

Yes she can. 59 is 4.9 feets

Step-by-step explanation:

searched it on goog

Answer:

1.6

2.28

3.0

4. 4

5.19

6.145

7.19

8.6

9.19

10.42

Step-by-step explanation: didnt see The last one hope this helps

Answer:

324cm³

Step-by-step explanation:

Volume of a triangular prism = (height x width x base length) / 2

We are given:

If we plug this into the formula we get (9 x 6 x 12) / 2

==> multiply numbers in parenthesis

volume = 648/2

==> simplify division

volume = 324cm³

Answers:

x= -10 and y= 16

3y = -6x - 12

3y = -6(-2y+22) -12

3y = 12y - 144

3y + -12y = 12y -144 + -12y

-9y = -144

divide -9 on both sides

y= 16

x= -2y+22

x= -2y+22

x= (-2)(16)+22

x= -10

Answer: 49°F

Step-by-step explanation: x - 12 = 37, So all we have to do is reverse it. That means we add 37 and 12 to get the beginning temperature. 37 + 12 = 49. So at the beginning of the evening, it was 49°F.

Answer:

Step-by-step explanation:

73.03

Answer:

6s+2=4s-2

-4s -4s

2s+2=-2

-2 -2

2s=0

/2 /2

s=undefined or x=0

Nina's grandmother earn $288.75 interest after 21 months.

What is Simple interest?

The cost of borrowing money without accounting for the effects of compounding is called Simple interest.

Given that;

Principal amount (P) = 3,000

Rate (R) = 5.5%

Time (T) = 21 month = 1 9/12 years

Now, The formula for the interest is;

Interest = P × R × T / 100

Where, P is the principal amount of money, R is the interest rate, T is the time.

Substitute all the values we get;

Interest = 3,000 × 5.5 × 1 9/12 / 100

            = 55 × 21 / 4

            = 288.75

Thus, Nina's grandmother earn $288.75 interest after 21 months.

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the answer is 32.........

Answer:

it will 8:9 hope it helps

Answer:

1. b

2. c

3. d

4. a

5. e

Step-by-step explanation:

When the equation is written in slope-intercept form of ;

y = mx + b, then m is the slope and b is the y-intercept

In this case;

1. y= -7/6x + 1 --------- m= -7/6 ; b = 1 --------b

2. y=7/6x -1 ------------m = 7/6 ; b = -1 ---------c

3. y= x-7/6 -------------m = 1 ; b = -7/6 ---------d

4. y= -x -7/6 ----------m =-1 ; b = -7/6 ----------a

5. -x + 6/7 ------------m = -1 ; b = 6/7---------e