what is the equation of the line that passes through (6,5) and (-7,4)

9514 1404 393

Answer:

  a = 108°

  b = 24°

Step-by-step explanation:

a) The pentagon will have interior angles of 540°/5 = 108°.

 Angle a = 108°

__

b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...

  252° -120° = 132°

That triangle is isosceles, so the angle at b is ...

  2b° +132° = 180°

  b = (180 -132)/2 = 48/2 = 24

  Angle b = 24°

Answer:

a = 108 °

b = 24°

Step-by-step explanation:

[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]

Answer:

i believe the area is 92

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The transformation, the value of the table is B (-5,3) B 2.

We have given that,

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.

We have to complete the table to show the locations of A'. B', C', and D'  after both transformations.

A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.

Therefore after the transformation, the value of the table is

B (-5,3) B 2.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ5

Answer:

C) 12.4 ft

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 4² = 156 - 16 = 143

length = √143 = 12.36 ft

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Answer:

B

Step-by-step explanation:

Solving with formula of area of circle,B is the correct answer of this question.

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

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Explanation:

There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.

Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.

Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

Answer: JUST DO IT!

Step-by-step explanation:

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = [tex]\frac{s}{n}[/tex]

Here, k = proportionality constant

For s = 20 and n = 5,

k = [tex]\frac{20}{5}[/tex]

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = [tex]\frac{s}{8}[/tex]

4 = [tex]\frac{s}{8}[/tex]

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

Answer:

x = 11

Step-by-step explanation:

Answer:

The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.

Step-by-step explanation:

In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.

Answer:

c

Step-by-step explanation:

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Answer:

84 ft^2

Step-by-step explanation:

Rectangle 1: Area = l x w = 3x6=16

Rectangle 2: 4x6= 24

Rectangle 3: 5x6=30

Triangle 1: A = 1/2 b x h = 1/2 x 4 x 3 = 6

Triangle 2: 1/2 x 4 x 3 = 6

Total = 16+24+30+6+6 = 84

Answer: A≈12.57mi²

Step-by-step explanation:

Answer:

10.19 cubic yards

Step-by-step explanation:

8*4=32

32 divided by 3.14= 10.19

(PS. I used to HATE i-ready)

Answer:

80 minutes (first one)

Step-by-step explanation:

1/6 of an hour=10 min

3 ppl can go on the ride at the same time

so 24/3=8

leaving 8 more turns before emma's turn

8x10=10

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation: