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Answer:

35 miles per hour.

223 minutes to reach destination.

Step-by-step explanation:

It's counting down by 35

35 miles per hour.

260/35=7.42857142857

7.42857142857*30=222.857142857

Rounding to nearest whole number

223

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according to distributive property

x+(y+z) = (x+y) + z

hope it helps...!!!

Answer:

Step-by-step explanation:

The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

Confirmed

Answer:

AB is tangent to the circle

Step-by-step explanation:

The tangent of a circle is always perpendicular (at a right angle) to the radius.  Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies 12^2+16^2=20^2[/tex]

[tex]\implies 144+256=400[/tex]

[tex]\implies 400=400[/tex]

Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.

Answer:

36.

Step-by-step explanation:

100 - 40 = 60%  of heads.

60% = 0.60.

60 * 0.60 = 36.

Answer:

[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]

Step-by-step explanation:

Given:

focus(h,k)= (−2,7)

Focal Diameter (Latus rectum) = 24

To find:

Equation of parabola= ?

Solution:

Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.

Focal Diameter = 24

[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]

Now to find the equation of parabola we need the vertex(h,v).

Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.

Now,

[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]

Equation of parabola

[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]

Substituting the cordinate of vertex in above equation,

[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]

This is the final answer.

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Answer:

135⁰

Step-by-step explanation:

As in cyclic quadrilateral sum if opposite angles is equal to 180⁰

[tex]2x + 5 = 21[/tex]

Subtract both sides 5

[tex]2x + 5 - 5 = 21 - 5[/tex]

[tex]2x = 16[/tex]

Divide both sides by 2

[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]

[tex]x = 8[/tex]

Answer:

8

Step-by-step explanation:

To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.

⇒ [tex]2x + 5 = 21[/tex]

⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]

⇒ [tex]2x = 16[/tex]

The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.

⇒ [tex]2x = 16[/tex]

[Cooeficient of x is 2]

⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]

⇒ [tex]x = \frac{16}{2} = 8[/tex]

In conclusion, the value of the "x" variable is 8.

Answer:

Answer is D

Step-by-step explanation:

Day 1 = 60

Day 2 = 120

Day 3 = 180

Day 4 = 240

Day 5 = 300

Day 6 = 360

Day 7 = 420

Day 8 = 480

The graph D will show the best relationship between  the number of days and the number of frozen treats sold.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.

We can see the linear relationship between frozen treats and number of days.

Day 1 -  60

Day 2 - 120

Day 3-  180

Day 4-   240

Day 5-  300

Day 6-  360

Day 7-  420

Day 8-  480

Hence the graph D will show the best relationship between  the number of days and the number of frozen treats sold.

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Ones in red are common ones

1,5,25

Answer: 36.2

Step-by-step explanation:

The angle formed by the clock is its degree measure

The angle formed by the hands of the clock when practice starts is 30 degrees

The current angle is given as:

Angle = 90 degrees

The basketball practice starts at:

Practice = 2 hours earlier

An hour in time represents 30 degrees.

So, the angle formed when the practice starts is

Angle = 90 degrees - 2 * 30 degrees

Evaluate

Angle = 30 degrees

Hence, the angle formed by the hands of the clock when practice starts is 30 degrees

Read more about angle measures at:

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Answer:

131 here is the answer and your welcome

Answer:

sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

Answer:

look at analysis

Step-by-step explanation:

1. 152

2. 200

3. 10857

4. 123.4

5. 1848

Answer:

130

Step-by-step explanation:

Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.

It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130

130 total handshakes

Hope this helps ^^

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

Answer: 75 degrees

Step-by-step explanation:

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

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Answer:

5 won 4 games last year . This is the best prediction based on the lime fit

Answer:

6/7

Step-by-step explanation:

3x2/7 in the same as 3/1x2/7, which is 6/7

(simply multiply the denominator and numerator of the fraction)

Answer: hii <3

Exact Form:

6/7

Decimal Form:

0.857142

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

To learn more about subtraction, please check: https://brainly.com/question/854115

Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

Step-by-step explanation:

-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =

= -5x² - 40x - 80 + 8 = -5x² - 40x - 72

so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.