In the diagram, the measure of angle 3 is 105°.
A
1/2
4/ 3
5 6
8 7
Which angle must also measure 105?
041
O24

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

A vertical line is always parallel to y - axis, I.e the x - coordinates of the points on the line never changes

Therefore, the equation of the line will be ~

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

And on this line, for each value of y, there is same value of x ~

The required equation of a vertical line that passes through (3, -10) is x = 3

The equation of a line in point slipe form is expressed as:

y - y1 = m(x-x1)

The equation of a vertical line is given as x = a

The value of a is the x coordinate of the given point. Hence the value of a  = 3

The required equation of a vertical line that passes through (3, -10) is x = 3

Learn more on equation of a line here; https://brainly.com/question/13763238

Answer:

The answer is D.

Step-by-step explanation:

The job would give her $130.50 dollars per week. Basically m= 7.25h.

Then, Monday was $27 dollars. Wednesday was $27 as well. Thursday was $36 also. So, we just needed to add this all together. You would get $220.50. So, it would be D!

Answer:

i.formula= current unit subtract previous unit

Answer:

2

Step-by-step explanation:

Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.

Answer:

2

Step-by-step explanation:

Answer:

3,4

Step-by-step explanation:

Answer: Tom:4

Sylvester:0

Garfield:5

Health cliff:6

Step-by-step explanation:

Answer:

x(5 - x)

Step-by-step explanation:

5x - x^2

divide by x

x(5 - x)

Answer:

B) Width 1/3, Length 6 + x, Area as a product of width times length 1/3 (6+x), Area as a sum of the areas of smaller rectangles ((1/3) * 6) + 1/3x

C) Width r, Length 1+1+1, Area as a product of width times length r(1+1+1), Area as a sum of the areas of smaller rectangles r1+r1+r1

D) Width 6, Length p+p+p+p, Area as a product of width times length 6(p+p+p+p), Area as a sum of the areas of smaller rectangles 6p+6p+6p+6p

E) Width m, Length 6 + 8, Area as a product of width times length m(6 + 8), Area as a sum of the areas of smaller rectangles m6 + m8

F) Width 5, Length 3x + 8, Area as a product of width times length 5(3x + 8), Area as a sum of the areas of smaller rectangles 5(3x) + (5*8)

Step-by-step explanation:

Area would be the width times length and for the areas as the sum you would just calculate the area of the smaller rectangles and add them.

Answer: Kate = 40/3  Her father = 50

Step-by-step explanation:

Let Kate's age in the present be K

And Kate's father's age in the present be F

3(K+5) = F+5

6(K-6) = F-6

Rearrange the first equation to get

3K+15 = F+5

3K+10 = F

Substitute that into the second question

6K-36 = 3K+10-6

3K = 40

K = 40/3

So F = 3*40/3+10 = 50

Step-by-step explanation:

8/24 = 21/63 = 1/3

yes it's a proportion

Answer:

15cm

Step-by-step explanation:

a^2+b^2=c^2

12^2+9^2=c^2

144+81=c^2

c^2=225

c=15

Answer:

4.63

Step-by-step explanation:

Answer:

The correct answer is 4.63

Step-by-step explanation:

Have a good day!

Answer:

0.889

Step-by-step explanation:

[tex]log \sqrt{60} \\ \\ = log {60}^{ \frac{1}{2} } \\ \\ = \frac{1}{2} log(2 \times 3 \times 10) \\ \\ = \frac{1}{2} \{ log2 + log3 + log10\} \\ \\ = \frac{1}{2} \{0.301 + 0.477 + 1\} \\ (\because log 10 = 1) \\ = \frac{1}{2} (1.778) \\ \\ \huge \red{ \boxed{log \sqrt{60}= 0.889}}[/tex]

The slope of a linear regression is the rate of change of the line of the best fit

The linear regression is given as:

[tex]y = -1.62x + 18[/tex]

Where

Using the above representations, the slope means that the wait time per staff is 1.62 minutes

Also, the slope value is realistic because time can be measured in decimals

Read more about linear regressions at:

https://brainly.com/question/25987747

Answer: No, the triangles are not similar. They aren't even triangles.

Step-by-step explanation: A is a diamond, which cannot be considered a triangle until it is split in half. 8 and 9 would be a triangle if the diamond wouldn't have been there. B and C is a parallelogram.

Answer:

Step-by-step explanation: i took the test.

The first point is ta x= - 3.

The function h(x) has a maximum value.

The graph of the function h(x) is given below.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = 2 sin(2x) - 3

The first point is at x = -3.

h'(x) = 4 cos(2x)

h''(x) = -8 sin(2x)

This means,

h(x) has a maximum value on the graph.

The graph of h(x) is given below.

Thus,

h(x) has a maximum value and the graph is given below.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

In what? theirs no graph or picture with the question.

Step-by-step explanation:

Answer:

1711568

Step-by-step explanation:

184*9302 = 1711568

Use a calculator to check your work

Answer: The answer for this question would be answer choice B "(0, 10) and (1, 15)". (0, 10) represents her starting amount and week saved, and (1, 15) would represent her saving for one week and having $15 total.

Hope this helps!

Answer:

➢ Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial.

[tex]#CarryOnLearning[/tex]

Answer:

The slope of both lines is 1/4.

Step-by-step explanation:

Line g is a vertical translation of line f so they are parallel.  Now find the slope of each line.

Line f  joins points (-2, 1) and (2, 2), so its slope is (2 - 1) / [2 - (-2)] = 1/4.

Line  g  joins points (-2, -1) and (2, 0), so its slope is [0 - (-1)] / [2 - (-2)] = 1/4.

The two parallel lines have the same slope.

Answer:

(1)

since a translation of a line segment is its rigid movement, vertically or horizontally.

line 's' is parallel to line 'r' since it is a translation of line 'r'  'e' units vertically ( clearly we could see that the point P' corresponding to point P in line r is shifted 'e' units upward and point Q' in line 's' is formed by shifting corresponding point Q of line 'r' e units upward).

(2)

the slope of a line is defined as the change in y-coordinates to the change in x-coordinates of the points on that line.

slope of line r=slope of line segment PQ.

coordinates of P=(m,n) and Q=(j,k)

slope of line r=slope of PQ=
k-n ÷ j-m

(3)

the slope of line s= slope of line segment P'Q'

slope of line s=slope of P'Q'=
k+e- (n+e) ÷ j-m
=

k-n ÷ j-m

(4)

as line q is a vertical translation of line 's' 3 units down.

and P'' is the image of P'.

so coodinates of P''= (m,n+e-3)

Answer:

I think the answer is 3.

Step-by-step explanation:

The formula for the volume of a prism is V=Bxh, where B is the base area and h is the height.

Since we know that the volume is equivalent to 48 cubic feet, and the base area is 16 square feet.

We can divide the volume by the base to find the height of the crate.

48÷16=3

I'm not assertive that it is but hopefully, it is correct.

Answer:

Put parentheses around the binomial and then expand it, and then use foil

Step-by-step explanation:

Let's say I have the binomial x+y.

(x+y)^2

(x+y)(x+y)

x^2+xy+xy+y^2

x^2+y^2+2xy

Answer:

2

Step-by-step explanation:

6 x 2 = 12

12 is less than 14

Question :

Solution :

Let's assume the number as " x "

According to the question :

We already assumed that the number is x. So, opposite of the number would be -x.

[tex]\qquad \sf \: { \dashrightarrow 6x= - x-14}

[/tex]

Now, let's solve this equation :

[tex]\qquad \sf \: { \dashrightarrow 6x + x= -14}

[/tex]

Combining the like terms :

[tex]\qquad \sf \: { \dashrightarrow 7x = - 14}

[/tex]

Then divide both sides by 7 :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{7x}{7} = - \dfrac{14}{7} }

[/tex]

[tex]\qquad \sf \therefore \: \bf{{ x= -2}}

[/tex]

Therefore, the required number is -2 .

Answer :

Center = (1.5,0)

Radius = [tex]\sqrt{8.25}[/tex]

Explanation :

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Answer:

decimal form: 7.04 x 10^ 20

Step-by-step explanation:

answer...

Answer:

The answer is either B or D

Step-by-step explanation:

The thing I dont get is 4 squared over 4 cubed is 1/4.