The isosceles trapezoid is part of an isosceles triangle with 38 vertex angle. what is the measure of an acute best angle of the trapezoid? what is the measure of an obtuse base angle of the trapezoid?

Answers

Answer 1

The base angle of any isosceles triangle is the complement of half the vertex angle. In this case, that is
.. 90° -(38°/2) = 71°

The obtuse base angle of the isosceles trapezoid is the supplement of this,
.. 180° -71° = 109°.

Answer 2

Final answer:

The acute base angles of the isosceles trapezoid are each 71 degrees, and the obtuse base angles of the trapezoid are each 109 degrees.

Explanation:

The task is to determine the measure of the acute and obtuse base angles of an isosceles trapezoid that is part of an isosceles triangle with a vertex angle of 38 degrees.

By the isosceles triangle theorem, the angles opposite the equal sides are equal. Since the vertex angle of the isosceles triangle is given as 38 degrees, the base angles of this triangle must be equal. Since the sum of the angles in any triangle must be 180 degrees, we could set up the equation:

38 + 2B = 180

where B represents the base angle of the isosceles triangle. Solving for B gives us:

B = (180 - 38) / 2

B = 71 degre

Each base angle of the isosceles triangle is 71 degrees.

The acute base angles of the trapezoid are also the base angles of the isosceles triangle, so they are 71 degrees each. To find the obtuse base angles of the trapezoid, we note that they are supplementary to the acute base angles. Hence:

Obtuse base angle of trapezoid = 180 - 71

= 109 degrees

Related Questions

how many fluorine atoms are found in 1.92 grams of AsF3?

Answers

First you need to find out how many moles of AsF3 are in 1.92 grams.
The molar mass of AsF3 is 131.918 g/mole so
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3

Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F
0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F

Which pair of measurements is equivalent?
8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg

Answers

Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.

Answer:

3.4 kg, 3,400 g

helppppppppppppppppppppppp

Answers

Answer:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719

Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Hope this helps :)

Which graph represents a phase shift of pi/2 units right for the graph of y=cos x

Answers

Solution:

we are given that [tex]y=cos x[/tex]

Here we are going to plot two curves one for cosx and the othere also of cosx but after making a phase shift of [tex]\pi/2[/tex]

When we do a phase shift by an angle of theta , in that case actaully we add angle negative theta .

For example when we shift the phase of sinx by [tex]\pi/2[/tex] we get [tex]sin(x-\pi/2).[/tex]

Hence we are going to plot the curve of

[tex]y=cosx\\ \\ y=cos(x-\pi/2)=sinx\\[/tex]

Hence the correct option is B.

A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?

Answers

Since repetition is allowed, there are 10(10)(10) choices available; 10 for the first digit, 10 for the second digit, and 10 for the third digit, coming out to a possible 1000 combinations. The probability of getting the 1 correct on the first try would be 1/1000.

The probability of a correct guess on the first try will be [tex]0.001[/tex] .

What is Probability ?

Probability is the ratio of number of favorable outcome to the

i.e. Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]

We have,

An ATM Card having three-digit code.

Repetition of digits is allowed.

So,

As Repetition is allowed, and we have [tex]10-[/tex]key keypad, and have to guess [tex]3[/tex] digit code,

Then

Total number of outcomes [tex]=10*10*10=1000[/tex]

And

Number of favorable outcome [tex]=1[/tex]

So,

Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]

[tex]P(E)=\frac{1}{1000}[/tex]

[tex]P(E)=0.001[/tex]

So, the Probability of correct guess is [tex]0.001[/tex] .

Hence, we can say that the probability of a correct guess on the first try is [tex]0.001[/tex] .

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You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?

Answers

When you have CD-RW drive that advertises speeds of 32x/12x/48x, the first speed that you encounter from left to right is the writing speed, the next one is the rewrite speed, and the last one is the reading speed.
Knowing this we can tell that our CD-RW drive has:
32x of writing speed
12x of rewriting speed
48x of reading speed

We can conclude that the reading speed of our CD-RW drive is 48x

What are the solutions to the equation?

n^2−8n+16=25

Enter your answers in the boxes.

n1=

n2=

Answers

To factor the equation, first make sure the right hand side is equal to 0. Do this by subtracting 25 from both sides of the equation.
The equation becomes,
n^2-8n-9 = 0

Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0.

In this case, if n is 9 or -1, we get the answer 0.

Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.

Hope this made sense! If it didn't, please ask questions!

Answer:

help

Step-by-step explanation:

Math question help :)

Answers

You have two similar triangles.
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.

6 ft corresponds to h
10 ft corresponds to 40 ft

[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]

Answer:

Step-by-step explanation:

I think its D.

How could you find an equation of a quadratic function with the zeroes of -3 and 1?

Answers

Hello,

The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3

A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?

Answers

3/8 because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8

The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, A rectangle is 1/2 feet long and 3/4 feet wide.

Therefore, The area of this rectangle is,

= (1/2×3/4) sq feet.

= 3/8 sq feet.

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BRAINLIESTTT ASAP!!!!!!!!!

Answers

find where the blue and red lines touch
the answer would be -3.5 and -0.5

the first choice is the correct one

Four consecutive integers sum to 70. What is the least of the 4 integers?

Answers

The smallest integer is 16

*Please answer*

Don't understand. Please help.

Answers

The answer is Product of Powers Property.

4³ x 4⁷ = 4³⁺⁷ = 4¹¹

It is the third option, Product of Powers

I have attached an image that may help you

Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!

Answers

i think the correct answer is

C.) y=42000(1−.08)^6

as for what it will cost in six years:

25466.91

not sure if you have to include the decimal or round it.

Answer:

Option (c) is correct.

[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Step-by-step explanation:

Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.

We have to choose the equation that can be used to solve the given problem.

We know

Depreciation formula given as,

[tex]A=P(1-\frac{r}{100} )^n[/tex]

Where A is the amount value after depreciation.

P is present value

r is depreciate rate.

n is time period.

Given : P = 42000 and r= 8% also given time period is 6.

Substitute , we have,

[tex]y=42000(1-\frac{8}{100} )^6[/tex]

Simplify , we have,

[tex]y=42000(1-0.08)^6[/tex]

Simplify we get,

[tex]y=25466.91[/tex]

Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.

Answers

see the attached graphic

the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)

SOS

Answer

A: Down

B: Max

AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)

Step-by-step explanation:

A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.

B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum

AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]

Vertex: [tex](\frac{-b}{2a}, y)[/tex]

Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).

Hope this helps!!

△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.

What is KL ?

Enter your answer in the box.

Answers

Answer:

The measure of KL is 6 centimeters.

Step-by-step explanation:

It is given that △JKL∼△QRS.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]

[tex]\frac{8}{12}=\frac{KL}{9}[/tex]

[tex]8\times 9=KL\times 12[/tex]

Divide both sides by 12.

[tex]KL=\frac{72}{12}[/tex]

[tex]KL=6[/tex]

Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.

Answer:

Step-by-step explanation:

He did too much math lol, a simple way of this is by dividing both sides initially.

12/9 = 1.5
9/1.5 = 6

What is the interior angle if the outside equals 110?

Answers

Interior and exterior angles are supplementary. The corresponding interior angle is 180° -110° = 70°.

How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m? Enter your answer in the box.

Answers

The answer is 20 m given Volume of 100m² and height of 5m.

So, we know the area formula of a parallelogram
Area = Base x Height
We have two values which are given;
Area = 100 m²
Height = 5 m
Now, we have to plug in the given values to find the missing, which in this case, is the base

100 = Base x 5
To find the value of base, we have to bring 5 to the other side, since it is multiplied, we do the reverse function, which is division.

[tex] \frac{100}{5} = \frac{5(Base)}{5} [/tex]
5 and 5 cancels out in the right hand side

20 = Base

The base is 20 m long

Jenna throws a stone off a pier and into the ocean. The graph models how the height of the stone, above sea level, changes over time.

Select from the drop-down menu to interpret the decreasing interval of the graph.

The stone was falling toward the water from

https://static.k12.com/nextgen_media/assets/8090396-NG_AL1_O_07_012_Quiz_05.png

Answers

0.5 after it was thrown until 1.5 after it was thrown

This should get you a hundred on the 4.11 quiz. :)

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?

Answers

The function g°f(x) can be written as g(f(x)), which means that you take a random x, put it into f(x) which gives you a value (let's call it y). You then put y into g(y) and you find the result.

Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).

Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}

In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} }

Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.

Answers

The question is asking X lbs = 16.4% of 153 lbs.
So multiply 0.164 times 153 to get 25.1lbs of fat.

I need help ASAP I will give brainliest if correct

Answers

Part 1)
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°

the answer is m∠A=137°

Part 2) Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?

we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then:
m∠A+m∠C=180∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34

m∠A=2x+9-------------> 2*34+9=77°

the answer is m∠A=77°

PLEASE HELP ME QUICKLY!!!

BRAINLIEST AVAILABLE TO CORRECT ANSWER

Answers

I would like to know the possible answers since I can’t infer whether the total price is changed, but i would assume that m would need to increase if that’s the case when b is halved, and that when m is tripled b and mx would increase since prices would be going up

If cos B = 7 over 22, then which of the following is correct?

a. csc B = 7 over 22
b. csc B = 22 over 7
c.sec B = 7 over 22
d.sec B = 22 over 7

Answers

I think it is c. sec B=7 over 22
Hope this helped : )

D is the correct answer

Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. How many total pencils does Mr.Simms use and give away? Show your work.

Answers

Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

Mr. Simms used 1/4 of the 20 pencils he bought, which equals 5 pencils, and gave away an additional 4 pencils, totaling to 9 pencils used and given away.

To solve how many total pencils Mr. Simms uses and gives away, we first find out how many pencils he used by taking 1/4 of the 20 pencils he bought. To do this, we multiply 20 by 1/4:

20 times 1/4 = 5

Mr. Simms used 5 pencils. He also gave away 4 pencils to his students. To find the total number of pencils used and given away, we add the pencils used to the pencils given away:

5 (used) + 4 (given away) = 9

Therefore, Mr. Simms used and gave away a total of 9 pencils.

Answers from anybody please??

Answers

The ratio of areas is the square of the ratio of linear dimensions. The smaller area is
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2

Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?

Answers

Answer:

346/389

Step-by-step explanation:

correct on khan academy!

The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Based on the given conditions, formulate

Probability = Favorable outcome / Total outcome

Calculate the sum or difference: (389-43)/389

get the result: 346/389

Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

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a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?

Answers

Hey mark me brainlest but ur answer is 27/45

Bess ur day.

I need to spend exactly £200, how?

Answers

You can just rent dancers for 4 hours 4 * 50 = 200

help me please asap and plz be correct :)

Answers

The radii are all equal, so
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x

Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34

AI = 34

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write 2/5 and 1/3 as equivalent fractions using a common denominator Starting with the smallest level of ecological organization and moving toward the highest, the order should go organism, __________. view available hint(s) starting with the smallest level of ecological organization and moving toward the highest, the order should go organism, __________. Determine whether the sequence is arithmetic, geometric, both or neither. 16, 8, 4, 2 A. arithmetic B. Goemetric C. NeitherD. Both A company produces plates with area A=r^2, where r is the radius of the plate. Find the inverse by solving for r without switching the variables.The inverse is r=____Explain your reasoning. When Newman says he is proud to say his motto is Give me liberty or give me death, what is his point?A. He will die rather than be enslaved.B. He is ready to use violence against slaveholders.C. He is ready to use violence against slave hunters. Find the center of the circle whose equation is x + y = 4. PPPPPPPPPPllllllllllllleeeeaaaaassssssssseeeeeee Helpppppppppppppppppp!!!!!! Will Give Brainliest !!!!!!!!!!Principal Jenkins has a portion of the basketball court that needs to be repaved. This portion of the court has been split into three sections. Use the drawing of the damaged section below to complete the statements that follow.The area of section 1 is_________ square feet, the area of section 2 is________ square feet, and the area of section 3 is_____________ square feet.The area of the basketball court that needs to be repaved is square feet. where do the different types of money derive their value? 0.025 milliliters is the same as: cm3 and L "let's forget about tomorrow for tomorrow never comes." "live for today." these expressions would be typical of a culture that is ________. If the equation y = x + 4 is changed to y = x - 2, how will the graph of the equation change?A)The original graph will shift 2 units down.B)The original graph will shift 6 units down.C)The original graph will shift 6 units to the left.D)The original graph will shift 2 units to the left. Create an expression that is equivalent to 8 x 24z I'm confused on what this is asking me to do. Can someone explain to me, please?Suppose youre making a triangle where you know the measures of two angles and the length of the side between those two angles. Write two angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle. A retail outlet has received complaints from customers that checking prices, finding out about stock, and checking out takes too long. What is one way that information systems could help this outlet address these complaints?A.Information systems will generate more data about the stock. B.Information systems could help automate these tasks. C.Information systems will enable employees to help fewer customers. D.Information systems will generate more data about prices. What two major industries support the regions economy Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises each day The mandatory isolation of people exposed to a contagious disease to prevent its spread is ______. demography healthy migration quarantine A small toy car costs $3 . A large toy car costs 5 times as much as the small one . Aaron wants to buy one of each . Which equation can he use to find the cost (a) of the two cars ? (A) 5x a = $3 +. $3(B) 5x ($3 + $3 ) = a (C) $3 +(5 x $3 ) =a (D) (5 x $3 ) \ 3 = a (/) division Ryan reads a statement in an advertisement for steroids that says steroids are safe to use. what does he conclude? The formula to calculate population density is _______