Can someone help me with this question please.

Answer:

22

Step-by-step explanation:

x-1 is a midsegment.

According to the Triangle midsegment theorem, x-1 is half of the third side (42)

x-1 = 42/2

x-1 = 21

x= 22

or

2x-2=42

2x=44

x=22

Hope this helps!

If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.

In this figure, they are similar because one side is half of the other.

So... divide the longer length in half and solve for x.

42 / 2 = 21

x - 1 = 21

x - 1 + 1 = 21 + 1

x = 22

Therefore, the answer is C.

Best of Luck!

Answer:

i think its wht u need...

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

Answer:

[tex] \frac{13}{47} [/tex]

Step-by-step explanation:

There are 47 boys

13 picked karting

Answer:

The coordinates of point P along the segment AB is (-1, 6).

Step-by-step explanation:

It is known that ratio of AP to PB is:

[tex]\frac{AP}{PB} = \frac{2}{3}[/tex]

Or vectorially speaking:

[tex]\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}[/tex]

The vector that represents the segment AB is:

[tex]\overrightarrow{AB} = \vec B -\vec A[/tex]

If [tex]\vec A = (-7,4)[/tex] and [tex]\vec B = (8,9)[/tex], then:

[tex]\overrightarrow{AB} = (8,9)-(-7,4)[/tex]

[tex]\overrightarrow {AB} = (8+7,9-4)[/tex]

[tex]\overrightarrow{AB} = (15,5)[/tex]

But [tex]\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}[/tex], then:

[tex]\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}[/tex]

[tex]\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}[/tex]

[tex]\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}[/tex]

[tex]\overrightarrow{PB} = \frac{3}{5}(15,5)[/tex]

[tex]\overrightarrow{PB} = \left(9, 3\right)[/tex]

The location of [tex]\vec P[/tex] is derived of this formula:

[tex]\overrightarrow{PB} = \vec B - \vec P[/tex]

[tex]\vec P = \vec B - \overrightarrow{PB}[/tex]

If [tex]\vec B = (8,9)[/tex] and [tex]\overrightarrow{PB} = \left(9, 3\right)[/tex], then:

[tex]\vec P = (8,9) - (9,3)[/tex]

[tex]\vec P = (8-9,9-3)[/tex]

[tex]\vec P = (-1, 6)[/tex]

The coordinates of point P along the segment AB is (-1, 6).

Answer:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

4/-(1/3) = -(1/3)x/-(1/3)

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

Answer:

Plan II

Step-by-step explanation:

A certain county has 1,000 farms.

Corn is grown on 100 of these farms but on none of the others.

Since corn is grown on only 100 of these farms, the population of interest is the 100 farms on which corn is grown.

Therefore, a better method for estimating the total farm acreage of corn for the county is Plan II.

a) Identify the 100 corn-growing farms.

b) Sample 20 corn-growing farms at random.

c) Estimate the mean acreage of corn for corn-growing farms in a confidence interval.

d) Multiply both ends of the interval by 100 to get an interval estimate of the total.

Answer:

2688 $ will be added. Therefore, the cost will be 44688 $.

Step-by-step explanation:

6.4% of 42000$ (a) / 100%=2688 $ (b).

a + b = 44688 $.

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

m = (-1 - 3)/(2 - 4)

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

Option A is the correct option

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 10x - 28}{6x} \times \frac{6}{x - 7} [/tex]

Factor out 2 from the expression

[tex] \frac{2( {x}^{2} - 5x - 14)}{6x} \times \frac{6}{ x - 7} [/tex]

Weite -5x as a difference

[tex] \frac{2( {x}^{2} + 2x - 7x - 14)}{x} \times \frac{1}{ x - 7} [/tex]

Factor out

[tex] \frac{2(x(x + 2) - 7(x + 2))}{x} \times \frac{1}{x - 7} [/tex]

Factor X+2 from the expression

[tex] \frac{2(x + 2)(x - 7)}{x} \times \frac{1}{x - 7} [/tex]

Reduce the expression with x-7

[tex] \frac{2(x + 2)}{x} [/tex]

Distribute 2 through the parentheses

[tex] \frac{2x + 4}{x} [/tex]

Hope this helps...

Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:

(a)The cost of ordering 3 Custom T-shirts is $39.

The cost of ordering 3 Fancy T-shirts is $75

(b)15 T-Shirts

Step-by-step explanation:

(a)Let n be the number of T-Shirts ordered

Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.

Cost, C=15+8n

Therefore, the cost of ordering 3 Custom T-shirts

= 15+8(3)

=15+24

=$39

Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered

Cost, C=60+5n

Therefore, the cost of ordering 3 Fancy T-shirts

= 60+5(3)

=60+15

=$75

(b)We are to determine the number, n at which the costs, C will be equal.

If C=60+5n and C=15+8n are equal, then:

60+5n=15+8n

8n-5n=60-15

3n=45

n=15

Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

.50

Step-by-step explanation:

32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.

Answer:

50

Step-by-step explanation:

so first do 32 divided by 64 then round it to the nearest 100.

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

61.5

Step-by-step explanation:

-3 (t-8)+1.5

-3 (-12-8)+1.5

-3 (-20)+1.5

60+1.5= 61.5

The value of expression will be;

⇒ - 58.5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3 | t - 8 | + 1.5

And, The value of t = - 12

Now,

The expression is,

⇒ - 3 | t - 8 | + 1.5

Put t = - 12, we get;

⇒ - 3 | - 12 - 8 | + 1.5

⇒ - 3 | - 20 | + 1.5

⇒ - 3 × 20 + 1.5

⇒ - 60 + 1.5

⇒ - 58.5

Thus, The value of expression will be;

⇒ - 58.5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

a) 280°

b) Ans - (D) P is North East of Q

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

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

leg          part

9+7          z

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

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

Learn more about linear equation here: https://brainly.com/question/17034467

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Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]