XY zand ABC are similar. If angle X is 32 degrees and angle Y is 84
degrees, find the measure of angle C.

9514 1404 393

Answer:

  not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

  AB +BC +CA = 22

  8 + 5 + CA = 22

  CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

  AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

  CA² = 9² = 81

The triangle is not a right triangle.

_____

Additional comment

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

Answer:

zero

Step-by-step explanation:

Answer:

A) 29.0 mpg

you divide 471 by 16.25

Answer:

slope = -1

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] to find the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, we'll use the points given in the question, (-2,6) and (9, -5). Substitute -2 for [tex]x_1[/tex], 6 for [tex]y_1[/tex], 9 for [tex]x_2[/tex], and -5 for [tex]y_2[/tex]. Then, solve:

[tex]\frac{(-5)-(6)}{(9)-(-2)} \\= \frac{-5-6}{9+2} \\= \frac{-11}{11} \\= -1\\[/tex]

Therefore, the slope is -1.

The slope of the line that passes through the points (-2, 6) and (9, -5) is -1.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given the coordinates of the two points on the graph is (-2, 6) and (9, -5). Therefore, the slope of the line that passes through this point is,
Slope = [6 - (-5)] / [-2 - 9]

Slope = (11) / (-11)

Slope = -1

Hence, the slope of the line will be -1.

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Answer:

(6, 4.5)

Step-by-step explanation:

6 if halfway between 12 and 0 and 4.5 is halfway between 6 and 3

i hope this helped :))

Answer:

The anser is (5, 4) oh and thank you for the points, i am very greatful for them

Answer: 64

Step-by-step explanation:

40% of 160

40/100 x 160

6400/100

64

Did I explain this well?

Answer: 64

Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.

Answer:

Hmm your answer would be (19)

Step-by-step explanation

Im not 100% sure but good luck

Answer:

First one is 6

Second on is 45

Answer:

x-intercept = 4

y-intercept = -1

As ordered pairs they would be ( 4, 0) and ( 0, -1)

Step-by-step explanation:

The line goes through 4 on the x line and goes through -1 on the y line.

As an ordered pair you just put the numbers in their x and y spots being ( x, y )

With 4 being on the X and -1 being on the Y it would make them ( 4, 0) and

( 0, -1).

Answer:

Didn't get it!

write correctly please!

The triangle solve for B = 36°, a = 41, c = 20 is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

To solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,

c² = a² + b² - 2ab cos(C)

We can use this formula to find the length of the missing side b:

b² = a² + c² - 2ac cos(B)

b² = 41² + 20² - 2(41)(20) cos(36°)

b² ≈ 1074.12

b ≈ 32.8

Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:

sin(A) / a = sin(B) / b

sin(A) / 41 = sin(36°) / 32.8

sin(A) ≈ 0.274

A ≈ 16.5°

We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.

The closest choice to these values is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

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Answer:

the first one

y-intercept (0,-2)

x-intercept (-4,0)

Answer:

The first one is the only one in simplest form.

Answer: this is answerrrr

peace

Answer:

=-1/6

Step-by-step explanation:

-1/2 + (3/4 * 4/9)

3/4 * 4/9 = 12/36

12/36 simplify to 1/3

-1/2 + 1/3 = -1/6

Answer:

45

Step-by-step explanation:

it is  blah blah this is the best you multiply by 5 add 40 subtract 5 and add 5 again

Answer:

see explanation

Step-by-step explanation:

(3)

The opposite sides of a parallelogram are congruent, so

6x = 3x + 15 ( subtract 3x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

and

2y - 10 = y + 5 ( subtract 5 from both sides )

y - 10 = 5 ( add 10 to both sides )

y = 15

Then x = 5 and y = 15

-------------------------------------------------------------------------

(4)

The diagonals of a parallelogram bisect each other, thus

y = 4x - 6 → (1)

9x - 25 = 2y → (2)

Substitute y = 4x - 6 into (2)

9x - 25 = 2(4x - 6)

9x - 25 = 8x - 12 ( subtract 8x from both sides )

x - 25 = - 12 ( add 25 to both sides )

x = 13

Substitute x = 13 into (1)

y = 4(13) - 6 = 52 - 6 = 46

Then x = 13 and y = 46

Answer- 44.60

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.

Answer:

C

Step-by-step explanation:

Answer:  g = 5/7

=======================================================

Work Shown:

Let's move the -3/7 to the other side, to fully isolate g.

We do so by adding 3/7 to both sides (to undo the subtraction)

[tex]g - \frac{3}{7} = \frac{2}{7}\\\\g - \frac{3}{7}+\frac{3}{7} = \frac{2}{7}+\frac{3}{7}\\\\g = \frac{2+3}{7}\\\\g = \frac{5}{7}\\\\[/tex]

Luckily all of the denominators are the same (7), so we can add the fractions by adding the numerators to place that sum over the common denominator.

Answer:

Option A

Step-by-step explanation:

Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.

Answer:

(a) $768

Step-by-step explanation:

Faye borrowed $9600 at 8% interest compounded per annum.

Solution for question (a):

Amount accumulated is given by;

A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]

Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.

So the amount after one year was;

A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368

Interest = Amount - Principal = $10368 - $9600 = $768

a.  The interest on the loan for the first year is $768.

b. The amount she still owe at the beginning of the year is $6,000.

c. The interest on the remaining balance for the second year is $480.

a. Interest on loan:

Interest on loan=$9600 × 8%

Interest on loan=$768

b. Amount owed

Amount owed=$9,600+$768-$4368

Amount owed=$6,000

c. Interest on remaining balance :

Interest on remaining balance=$6,000×8%

Interest on remaining balance=$480

Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.

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Answer:

its B

Step-by-step explanation:

Answer:

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Step-by-step explanation:

Part a:

Given

Salary = $2500

Percentage of raise = 10%

The new salary will be:

[tex]= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750[/tex]

Part b:

Given

Total questions = 40

Percentage of correct answers = 85%

The required expression for correct answers is:

[tex]= 85\%\ of\ 40\\= 0.85*40\\=34[/tex]

Part c:

Given

Price of phone = $250

Percentage of sales tax = 7.5%

The required expression is:

[tex]Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75[/tex]

Hence,

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Answer:

-55 = b

Step-by-step explanation:

If you fill in the x and the y with the equation you have below, you would get:

-4 = 17(3)+b

Multiply 17 and 3

-4 = 51 + b

-55 = b

Answer:

y=17x-55

Step-by-step explanation:

4 = 17(3)+b

-4 = 51 + b Subtract 51 both sides

-55 = b

Hope this helps :)

Answer:

D

Step-by-step explanation:

Just add all the number together.

Answer:

C

Step-by-step explanation:

There can be multiple solutions when two lines intersect.

Answer: 67.27

Step-by-step explanation:

7.1 x 7.1 for the square = 50.41

7.1 divided by 2 = 3.55

3.55 x 4.75= 16.86

Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same

Add the 50.41 and the 16.86 and you have your answer!

Answer:

16.86 square units

Step-by-step explanation:

I think this is the answer.

Answer:

25. a = 60

26. a = 17

Step-by-step explanation:

In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure

so we have

25.

[tex]6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60[/tex]

and for 26 we have

[tex]4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17[/tex]