What is the measure of ∠A, the exterior angle of the triangle shown below?


F. m∠A = 92°, because 180 – (50 + 38) = 92.

G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.

J. m∠A = 88°, because 50 + 38 = 88.

Answer:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]

Step-by-step explanation:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]

[tex]=\frac{x-3}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]

[tex]=\frac{1}{2+x}[/tex]

Answer:

inverse

Step-by-step explanation:

inverse

hope this helps

Answer:

Step-by-step explanation:

Seems like an easy trig question so let's get to it.

1) Draw the right triangle to make it easier to solve (right triangle because we have a 90 degree angle)

2) Find the last angle measure by adding 90+70= 160 and 180-160= 20 so the last angle measure is 20.

3) Use trig function, tan20= x/4.4 to find the answer of x (FD) to be 1.6. Therefore, the FD value will be 1.6 ft.

Answer:

80

Step-by-step explanation:

All triangle angles add up to 180 so:

4x - 20 + 2x + 2x = 180

8x - 20 = 180

8x = 200

x = 25

<H:

4x - 20

4(25) - 20

100 - 20

80

just guess

jk i think the last one

Answer:

r = C/2π

Step-by-step explanation:

You just rearrange the Circumference formula so you can find r.

Circumference formula:

C = 2πr

To find r, you multiply 1/2π on both sides of the equation so you can isolate r:

r = C/2π

Answer:

42 (d)

Step-by-step explanation:

the longest side of the smaller one is 6, each side of the larger one is just 3x the length of the smaller side. I hope that makes sense, it's just a ratio. Hope this helped! Good luck!

Answer:

The perimeter of the larger triangle is 42 inches.

Step-by-step explanation:

Since the question mentions that the two triangles are similar, we must establish proportions using what we already know.

Smaller triangle: 3 + 5 + 6 = 14

Larger triangle: x + y + 18 = perimeter

Determine the GCF (greatest common factor):

The GCF is 3.

Now, subsitute the values for x and y by solving via the GCF.

Larger triange:  9 + 15 + 18 = perimeter

9 + 15 + 18 = 42

Hope this helps; have a wonderful day!

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

Answer:

B

Step-by-step explanation: let me know if this is wrong

Answer:

its b

Step-by-step explanation:

well the person above me is correct he should get brainlies

Answer:

[tex]\frac{45}{c}[/tex]

Step-by-step explanation:

Playoff games played = 45

Number of days taken for the playoff games = c days

Number of playoff games played in one day = [tex]\frac{\text{Number of games played}}{\text{Total number of days}}[/tex]

= [tex]\frac{45}{c}[/tex]

Therefore, expression for the number of playoff games played in a day = [tex]\frac{45}{c}[/tex]

Answer:

x = 6

Step-by-step explanation:

Answer: -1/5

Step-by-step explanation:

Answer:

The second one -1/5.

Step-by-step explanation:

1-2=-1 for y and 10-5=5 for x -1/5.

Answer:

c

Step-by-step explanation:

Given:

The pairs of points are:

a. A(-6,-4), B(-3,-1)

b. C(3.5,1), D(-4,2.5)

c. X(5,-5), Y(-5,5)

To find:

The distance between the pair of points by using the distance formula.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

a.

Using the distance formula, the distance between the points A(-6,-4) and B(-3,-1) is:

[tex]AB=\sqrt{(-3-(-6))^2+((-1-(-4))^2}[/tex]

[tex]AB=\sqrt{(3)^2+(3)^2}[/tex]

[tex]AB=\sqrt{2(3)^2}[/tex]

[tex]AB=3\sqrt{2}[/tex]

[tex]AB\approx 4.2[/tex]

Therefore, the distance between the points A(-6,-4) and B(-3,-1) is about 4.2 units.

b.

Using the distance formula, the distance between the points C(3.5,1) and D(-4,2.5) is:

[tex]CD=\sqrt{(-4-3.5)^2+(2.5-1)^2}[/tex]

[tex]CD=\sqrt{(-7.5)^2+(1.5)^2}[/tex]

[tex]CD=\sqrt{56.25+2.25 }[/tex]

[tex]CD=\sqrt{58.5 }[/tex]

[tex]CD\approx 7.6[/tex]

Therefore, the distance between the points C(3.5,1) and D(-4,2.5) is about 7.6 units.

c.

Using the distance formula, the distance between the points X(5,-5) and Y(-5,5) is:

[tex]XY=\sqrt{(-5-5)^2+(5-(-5))^2}[/tex]

[tex]XY=\sqrt{(-10)^2+(10)^2}[/tex]

[tex]XY=\sqrt{100+100}[/tex]

[tex]XY=\sqrt{200}[/tex]

[tex]XY\approx 14.1[/tex]

Therefore, the distance between the points X(5,-5) and Y(-5,5) is about 14.1 units.

Answer:

5 shirts and 4 pairs of shorts

Step-by-step explanation:

160-1 set (12+25=37)=123

123-1 set=86

86-37=49

49-37=12

12-1 t-shirt=0

Answer:

10

Step-by-step explanation:

the is answe is 10 sheeesh

Answer:

38.11 feet

Step-by-step explanation:

all three corners of an equilateral triangle are 60°

sin 60° = 33/x

0.8660 =33/x

x = 38.11 feet

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

The length of the side of the equilateral triangle is 38.105 feet.

When all the three sides and all the three angle of a triangle are equal, then the triangle is known as Equilateral triangle.  

Relation between the side and the altitude of the equilateral triangle can be given as,

[tex]a=\dfrac{2}{\sqrt{3} } h[/tex]

Here, [tex]a[/tex] is the side of the equilateral triangle and h is the altitude of the equilateral triangle

Given information-

Altitude of the equilateral triangle is 33 feet.

Put the value of altitude in above formula to find the length of the side of the equilateral triangle. Thus,

[tex]a=\dfrac{2}{\sqrt{3} } \times33\\a=38.105[/tex]

Thus the length of the side of the equilateral triangle is 38.105 feet.

Learn more about the equilateral triangle here;

https://brainly.com/question/17264112

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

The question is incomplete:

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to buy each player a bottle of water and an energy bar. The price of one energy bar is $2. Let w equal the price of a bottle of water. Write an equation that represents the situation.

Answer:

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Step-by-step explanation:

With the information provided, you can say that the total amount paid is equal to the result of multiplying the price per energy bar for the number of energy bars purchased plus the result of multiplying the price per bottle of water for the number of bottles of water:

price per energy bar= $2

number of enrgy bars= 22

price per bottle of water= w

number of bottles of water= 22

x=(2*22)+(w*22)

x=44+22w, where

x is the total amount paid

w is the price of a bottle of water

Answer:

a.

5.4 cm; 133 degrees

Step-by-step explanation:

hope this helps

Answer:

35.4%

Step-by-step explanation:

(100/80) x 27.6

basically 1 of 80 is 1.25 and multiply 1.25 times the money jaylon spent sorry i am really bad at explaining only good at solving

Answer:

34.5%

Step-by-step explanation:

to find the percent of money that was spent, you turn it into a fraction-

27.60/80

=0.345

then to get the percent you multiply-

0.345*100

=34.5%

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

[tex]P' = (1,-2)[/tex]

Step-by-step explanation:

Given

[tex]P = (1.6)[/tex]

[tex]Q = (-6,1)[/tex]

Reflection over: [tex]y = 2[/tex]

Required

Determine the coordinates of P'

From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2

Since we are to reflect over y = 2, only the y coordinate of P will be affected.

The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]

So, what to do is:

First, calculate the difference between the y coordinates of P and the line of reflection.

The y coordinate of P is 6 and the line of reflection is at y = 2.

So, the difference is: 6 -2 = 4

Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'

y coordinate of P' = 2 - 4 = -2

Hence, the coordinate of P' is: (1,-2)

Answer:

(17/25)^5 = 0.145393 = 14.539%

Step-by-step explanation:

78% = 78/100 or 17/25 simplified

probability of winning each game is 17/25

The probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The probability that the Islanders will win the Rangers in a game = 78%      ⇒ [tex]0.78[/tex]

The probability that the Islanders will lost the Rangers in a game is

⇒ [tex]1-0.78=0.22[/tex]

The probability that the Islanders will win at least five out of six games in a series against the Rangers is

⇒ [tex]6C_{5} (0.78)^{5}(0.22)^{1}[/tex]

⇒ [tex](6)(0.2887)(0.22)[/tex]            [∵ [tex]6C_{5} =6[/tex]]

⇒ [tex]0.3811[/tex] ≈ [tex]0.4000[/tex]

Hence we can conclude that the probability that the Islanders will win at least five out of six games in a series against the Rangers is 0.4.

Learn more about probability here

https://brainly.com/question/10377907

#SPJ3

Answer:

648

Step-by-step explanation:

8×3^4=648

8×81=648

Answer:

90

if she's at 90ft above sea level she just needs to go back down 90ft to get to sea level

Answer: 2x26 4x13 1x52

Step-by-step explanation:

Answer:

1 x 52 = 52.

2 x 26 = 52.

4 x 13 = 52.

Answer:

C. since 8, 15, 17 are pythagorean triples

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.