16) One exterior angle of an isosceles triangle is 70°. a) Find the possible measures of the other two exter angles. b) How many answers can you find? Explain.​

Answers

Answer 1

Answer:

The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.

Step-by-step explanation:

For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.

An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.

For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.


Related Questions

I need some Help please!

Answers

Answer:

1) observational

2) sample

3) experiment

Answer:

1 no is observational

Step-by-step explanation:

2 no is sample

3 no is experiment

Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]

                   [tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]

                   [tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]

A number cube is rolled once. What is the probability of rolling a three

Answers

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

help quickly pls area of a triangle: sine formula

Answers

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

5x−x can u give me the anwser

Answers

Answer:

4x

Step-by-step explanation:

5x - x is simply

5x - 1x = 4x

Another way to think about it:

5x = 5 * x

5(x) - 1(x) = 4(x) = 4x

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4x

Step-by-step explanation:

Select the correct answer from each drop-down menu.

The graph of the equation y = -x4 + x2 − 2
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)

The graph of the equation y = x5 + x2 + 7
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)

The graph of the equation y = x6 + 2x3 + 3
(A. Increases as x approaches negative infinity and decreases as x approaches positive infinity.)
(B. Decreases as x approaches negative infinity and increases as x approaches positive infinity)
(C. Increases as x approaches negative and positive infinity)
(D. Decreases as x approaches negative and positive infinity)

Answers

Answer:

y = -x⁴ + x² - 2 : D

y = x⁵ + x² + 7 : B

y = x⁶ + 2x³ + 3 : C

Step-by-step explanation:

anyways look at the part with the largest power of x. it will have the biggest impact on the overall value, when x approaches positive or negative infinity.

in the first one this is -x⁴

x⁴ is always positive (for positive and negative x). so, -x⁴ is always negative. therefore, it decreases in both cases when x approaches positive or negative infinity.

in the second one this is x⁵.

this goes with the sign of x. it is getting bigger (it increases), when x approaches positive infinity, and it is getting smaller (it decreases), when x approaches negative infinity.

in the third one this is x⁶.

this is always positive (for positive and negative x). therefore, it increases in both cases when x approaches positive or negative infinity.

You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier?

Answers

Answer:

$232

Step-by-step explanation:

Add 16% to 100% then multiply by 200

Write an equation in polnt-slope form for the line that passes through the glven
polnt with the slope provided.
(2.-1), m= -3

Answers

Answer:

(y+1) = -3(x-2)

Step-by-step explanation:

y-y₁=m(x-x₁)

notice the negatives in the formula.

this changes coordinates. the positives to negative and negatives to positives

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.


Alexa’s Graph

A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6).
Mia’s Table

A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13.

Answers

Answer:

A

Step-by-step explanation:

i got it right

Answer:

A

Step-by-step explanation:

The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon

Answers

Answer:

a, 20 side polygond b, the sum of the interior angles is 162°

Which of the following is the function F(x) if F^-1(x) = x+4/11?
A. F(x) = 11x - 4
B. F(x) =X-4/11
C. F(x) = 11(x-4)
D. F(x) = 11x +4

Answers

Answer:

B. F(x) =X-4/11

Step-by-step explanation:

We are given the inverse function;

f^(-1)(x) = x + 4/11

Thus means, x was replaced with y and vise versa. Thus;

x = y + 4/11

Lets make y the subject;

y = x - 4/11

Thus,in inverse of a function we replace y with f(x) for the original function or f^(1)(x) for the inverse.

Thus, putting f(x) for y gives;

f(x) = x - 4/11

islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?​

Answers

Answer:

2,197.8

Step-by-step explanation:

can someone explain how to do this :) im very confused

Answers

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

I need help i'm struggling with this work!

Answers

Answer:

Domain: x is greater than or equal to 0

Range: y is greater than or equal to -5

So the answer for domain is e.

And the answer for range is a.

Which best describes the inventor of a triangle?

Answers

Answer:

I think C

Step-by-step explanation:

Would appreciate any help!

Answers

Answer x=6, y=6√2

Use the 45-45-90 theorem:

45 45 90
s s s√2
6 6 6√2

Find the Area of the shape
(Area of Composite Shapes)

Answers

Answer:

130 inches

Step-by-step explanation:

Area = Length · Width

Solve for the Right Triangle

6 · 11 = 66 inches

Area = Length · Width

Solve for the square

Since the width isn't fully given, we must add 5 + 3 = 8 inches

5 · 8 = 40 inches

Area = Length · Width

Solve for the Rectangle

8 · 3 = 24 inches

Now add the results: 66 + 40 + 24 = 130 in^2

Answer:

the naswer is 10

Step-by-step explanation:

A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is

1. -9
2. -1
3. 8
4. 15​

Answers

I think is




3. 8



Hpta me están poniendo a escribir mucho men

The value of a₄ is -9

What is recursively defined sequence?

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

Here: https://brainly.com/question/1480398

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PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00

Answers

The answer is $46.50 :)
the answer would be C to this question

please help will give brainlist!​

Answers

Answer:

[tex]b=\frac{1}{6}[/tex]

Step-by-step explanation:

In [tex]f(x)=a\cos(b(x-c))+d[/tex], [tex]b[/tex] represents a constant related to the period of the function. Here's how it's related:

[tex]b=\frac{2\pi}{T}[/tex], where [tex]T[/tex] is the period of the function.

We're given [tex]T=12\pi[/tex], so solving for [tex]b[/tex]:

[tex]b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}[/tex]

What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 ​ xy, equals, start fraction, 5, divided by, 9, end fraction, x? constant of proportionality ==equals

Answers

Answer:

5/9

Step-by-step explanation:

If a variable y is directly proportional to x, then;

y = kx where;

k is the constant of proportionality

Given the expression y = 5/9 x

On comparing with the general formula;

kx = 5/9 x

k = 5/9

Hence the constant of proportionality of the expression is 5/9

Answer:

5/9

Step-by-step explanation:

i tried it on khan and its right trust me

Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?

Answers

Answer:

1.42

Step-by-step explanation:

Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)

Answers

Answer:

Answer:

Step-by-step explanation:

Slope of a line 2x+3y=6 is -2/3

So line passing through (0,4) has same slope because both are parallel

From slope intercept form we have

Y-y1 =m(x-1)

Y-4= -2/3(x-0)

3Y-12 = -2x

3Y+2x = 12

Which is required equation of a line.

Step-by-step explanation:

Answer:

y = -2/3x + 20/3

Step-by-step explanation:

2x + 3y = 6

3y = -2x + 6

y = -2/3x + 2

y = -2/3x + b

4 = -2/3(4) + b

4 = -8/3 + b

20/3 = b

Please someone help!
Thanks!

Answers

Answer:

1 1/2y-5

Step-by-step explanation:

Simplify.

-1/2(-3y+10)

Use distributive property to multilpy -1/2 by -3y and -1/2 by 10.

=1 1/2y - 5

Answer:

[tex]1.5x-5[/tex]

Step-by-step explanation:

When given the following problem,

[tex]-\frac{1}{2}(-3x+10)[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of the parenthesis,

[tex]=(-\frac{1}{2})(-3x)+(-\frac{1}{2})(10)[/tex]

Now simplify the expression, remember, negative times negative is positive,

[tex]=\frac{3}{2}x-5[/tex]

Rewrite as a decimal; remember ([tex]\frac{1}{2}[/tex]) is equivalent to ([tex]0.5[/tex]). Therefore ([tex]\frac{3}{2}[/tex]) equals ([tex]1.5[/tex]). Apply this here to rewrite the expression as a decimal,

[tex]1.5x-5[/tex]

can someone please help me :(

Answers

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)

Answers

Answer:

FIRST ANGLE = 21 degree

SECOND ANGLE = 119 degree

Step-by-step explanation:

140 = 6x - 7 + x

140 = 7x - 7

combine like terms

140 + 7 = 7x

147 = 7x

x = 21

second angle = 6(21) - 7 = 119

Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum and 1/8 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park?

Answers

Answer:

1/8

Step-by-step explanation:

3/4=6/8

6/8+1/8=7/8

1-7/8=1/8

determine the equation of the circle graphed below .

( help please )

Answers

Answer:

(x + 5)² + (y - 4)² = 17

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 4 ) , then

(x - (- 5) )² + (y - 4)² = r² , that is

(x + 5)² + (y - 4)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)

r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]

  = [tex]\sqrt{4^2+1^2}[/tex]

  = [tex]\sqrt{16+1}[/tex]

  = [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17

Then

(x + 5)² + (y - 4)² = 17 ← equation of circle

Answer:

x² + y² + 10x - 8y + 24 = 0

Step-by-step explanation:

equation of a circle :-

equation of a circle :-(x - h)² + (y - k)² = r²

(h, k) is the center of the circle R is the radius of the circle

for this circle :-

h = -5k = 4R = ?

finding radius of the circle

we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle

putting x = -1 and y = 5

=> (-1 - (-5))² + (5 - 4)² = r²

=> (-1 + 5)² + 1² = r²

=> 4² + 1 = r²

=> 17 = r²

[tex] = > r = \sqrt{17} [/tex]

the radius if the circle is √17 units

__________________________________

finding the equation of the circle

=> (x + 5)² + (y - 4)² = (√17)²

=> x² + 25 + 10x + y² + 16 - 8y = 17

as for any two variables a and b, (a + b)² = a² + b² + 2ab

=> x² + y² + 10x - 8y + 24 = 0

For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.

Answers

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this

Answers

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

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