The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°

The Sketch Shows A Triangle And Itsexterior Angles. Find The Measure Ofangle IAC.Show All Your Calculations.

Answers

Answer 1

Answer:

∠ IAC = 98°

Step-by-step explanation:

The sum of the exterior angle = 360°

∠ HCB = 180° - 46° = 134° ( adjacent angles )

Thus

∠ IAC + 128° + 134° = 360°, that is

∠ IAC + 262° = 360° ( subtract 262° from both sides )

∠ IAC = 98°

Answer 2

Answer:

<IAC=°98

Step-by-step explanation:

<DHA + CHA = 180 SUPPLEMENTARY ANGLE

128 +CHA=180

<CHA=52

<CHA + <HAC+<ACH=180 b/c it is triangle

46 +52+HAC= 180

<HAC= 180-98

<HAC= 82

<HAC + <IAC= 180. Supplementary angle

82+<IAC=180

<IAC=180-82

<IAC=98


Related Questions

a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer,what is the actual distance corresponding to the map distance?

Answers

Answer:

63.3 km

Step-by-step explanation:

All that you need to do here is to multiply 5.5 by 11.5 which equates to...

=5.5x11.5

=63.25

because the second decimal is five you have to round up so that means that the answer is 63.3km.

Hope it helped.. Tysm... Plz.. Mark me BRAINLIEST..

Answer:

[tex]\boxed{63.3 \ km}[/tex]

Step-by-step explanation:

1 cm : 11.5 km

We need the distance for 5.5 cm So,

Multiplying both sides by 5.5

1 cm      :        11.5 cm

× 5.5                ×5.5

5.5 cm  : 63.25 km

For every 5.5 cm, the actual distance is 63.25 km but to the nearest tenth, it is 63.3 km

Sketch the graph of y=-3(x-3)2+4 and identify the axis of symmetry.

Answers

Answer:

The axis of symmetry of parabola is the equation where it cuts the middle of the graph.

So the axis of symmetry is x = 2 .

Pls answer ASAP will mark brainliest if correct

Answers

Answer:

E. 88 inches squared

Step-by-step explanation:

First we will calculate the total area(including the area of the picture):

Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12

Step 2(Finding total area): 12 * 14 = 168

Now we will find the area of the picture and subtract it from the total area to get the area of the frame:

A= 8*10= 80

168 -80 =88 inches squared

Hope this helps!

Answer:

E(88)

Step-by-step explanation:

first find the area of the photograph : 8*10=80 square inches

the length of the whole frame in including the photograph is:

8+2 inches+2 inches=12 inches

the width is 10+2+2=14 inches

the area of the whole frame=12+14=168 inches square

the area of the border=168-80=88 inches square

Write a pair of negative integers whose difference is 8.

Answers

Answer:

(-5,-13) has a difference of 8

Answer:

-2 and -10

Step-by-step explanation:

negative integers are whole numbers below 0

difference is the same as (-)subtraction

x-y=8

if x= -2

-2-y=8

-y=8+2

-y=10

y= -10.

confirmation

-2 - (-10)=8

-2+10=8

8=8

Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU

Answers

Answer:

I thinks it's B.not sure...

The deviation of the mean between the sample is less in option B.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.

If the deviation of the mean between the sample is more, then the deviation will be more.

Let's check all the options.

A. 12, 14, 13, 14, 12, 13, 12

The mean is calculated as,

Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7

Mean = 12.86

B. 1,6,3, 15, 4, 12,8

The mean is calculated as,

Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7

Mean = 7

C. 20, 21, 23, 19, 19, 20, 20

The mean is calculated as,

Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7

Mean = 20.28

D. 3,4,3, 4, 3, 4, 3

The mean is calculated as,

Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7

Mean = 3.43

The deviation of the mean between the sample is less in option B.

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ2

Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?

Answers

Answer:

11 hours

Step-by-step explanation:

First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.

A research agency asks a random sample of respondents, ‘Would you vote for a female candidate for President if she were qualified in every other way?” The design of this study is flawed. How?

A. More information should have been provided about this potential female candidate for president, such as age, race, and religious affiliation.

B. Only carefully screened subjects should have been allowed to answer this survey question because not everyone is likely to vote in the next presidential election.

C. Research agencies should not ask survey questions about differences in age, race, gender, or religious affiliation as there is an increased risk in offending some sample respondents.

D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”

Answers

The correct answer is D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”

Explanation:

One of the factors that can make a study flaw is bias, this means the study includes questions or content influenced by personal judgements or that tries to influence the answers of the respondents. This occurs in the question "‘Would you vote for a female candidate for President if she were qualified in every other way?” because the phrase "if she were qualified in every other way" indirectly tells respondents women are less qualify or might not be qualified to be in the role of a president, which shows a personal judgment. Also, this wording might influence respondents to answer they would not vote for a woman.

MATH PLEASE HELP ME. WILL GIVE BRAINLIEST

Answers

Answer:

The answer is - 17

Step-by-step explanation:

g(x) = 2x³ - 3x + 5

To find g(- 2) substitute the value of - 2 into g(x)

That's

g(- 2) = 2(-2)³ - 3(-2) + 5

= 2(-8) - 3(2) + 5

= - 16 - 6 + 5

= - 17

Hope this helps you

Find the product.
(6a + 3b)(a - b)
Enter the correct answer.

Answers

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Find the area a. 530 b. 779 c. 390 d. 1060

Answers

Answer:

a. 530 ..I think.. i'm pretty sure

Step-by-step explanation:

40*26.5 is 1060

1060/2=530

area=530

Pleaseeee helppppp❤️

Answers

Answer:

The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]

Step-by-step explanation:

It's like addition, when you multiply exponents that are on the same bases as each other.

What is the answer to 2+2 * 89 - 63 + 70

Answers

Answer:

187

Step-by-step explanation:

2*89=178

178+2=180

180-63=117

117+70=187

Answer:

47

Step-by-step explanation:

You'd have to follow PEMDAS.

First we multiply:

89*2=178.

Now we add:

178+2=180

AND

63+70=133.

Finally, we subtract:

180-133=47.

Hope this helps!! <3

1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?

Answers

Answer:

1. 900

2. 350

Step-by-step explanation:

the formula,

A= P(1+rt)

A= final amount

P= starting amount

r= intrest rate

t= time

1. A=750(1+.05*4)

A=750(1.2)

A=900

2. A=1500(1+.1*2)

A=1500(1.1)

A=1650

But theyre

asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned

1650-1500=350

which of the following is the Pythagorean theorem

Answers

Answer:

[tex]a^2+b^2=c^2[/tex]

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula [tex]a^2+b^2=c^2[/tex] is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

Answer:

in a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length

Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution

Answers

Answer:

x = 3 and x = -3

Step-by-step explanation:

/x/ - 8 = -5

Add 8 to both sides

/x/ -8 + 8 = -5 +8

/x/ = 3

/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3

when 5 more than 2 lots of a number is tripled the result is 10

Answers

Answer:

-5/6

Step-by-step explanation:

a number is x

then two lots will be 2 x

five more will be 2x+5

then tripled so 3(2x+5)

will equal 10

Answer: [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

3(2x+5)=10

Distribute

6x+15=10

Subtract 15

6x=-5

x = -5/6

Hope it helps <3

The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I need this ASAP please!!!!

Answers

Answer:

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 6 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes.

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus

y = - 3x - 4 ← equation of parallel line

What is the least common denominator of the rational expressions below?

Answers

Answer:

x(x-3) ( x+4)

Step-by-step explanation:

  2               5

---------- + ------------

x^2 -3x     x^2 + x - 12

Factor the denominator

  2               5

---------- + ------------

x(x -3)     (x-3) (x+4)

The common denominator is

x(x-3) ( x+4)


Factor this polynomial.
-3x^2– 5x-2

Answers

Answer:

[tex]-(3x+2)(x+1)[/tex]

Step-by-step explanation:

So we have the polynomial:

[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]

(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)

This is a quadratic. To factor this, we need to find two numbers p and q such that:

[tex]p\cdot q=ac\\p+q=b[/tex]

From there, we can substitute these numbers in for b.

From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.

In other words, ac=6 and b=5.

After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:

[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]

Please answer it now in two minutes

Answers

Answer:

m∠F = 20.6°

Step-by-step explanation:

In the given right triangle ΔHGF,

∠G = 90°

By applying tangent rule in the triangle,

tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{HG}}{\text{GF}}[/tex]

            = [tex]\frac{3}{8}[/tex]

            = 0.375

m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]

        = 20.556°

        = 20.6°

Therefore, measure of angle F is 20.6°

Need Help Quick!!! Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify . X 3/5 over X 1/4 William has to simplify 20 square root of x times x^3 times x^4 . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.

Answers

Answer:

Yes, they started with equal expressions.

Step-by-step explanation:

To simplify Vanessa's expression, we must rationalize the denominator.  This means we must make the denominator x.

We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well:

What is the product of
(2x-6)(x+1)

Answers

Answer:

Hey there!

(2x-6)(x+1)

2x^2-6x+2x-6

2x^2-4x-6

Hope this helps :)

Answer:

2x^2 -4x-6

Step-by-step explanation:

(2x-6)(x+1)

FOIL

first: 2x*x = 2x^2

outer: 2x*1 = 2x

inner: -6*x = -6x

last: -6*1 = -6

Add them together

2x^2 +2x-6x-6

Combine like terms

2x^2 -4x-6

Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60, 10) make sense for this function? Explain your answer.

Answers

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.

The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)

Answers

Answer:

y = -9/5x + 9/5

Step-by-step explanation:

From this points, we can determine the slope and the y-intercept.

First, we do:   y/x  -  y1/x1

=> 0/3 - (3 - 2)

=> 0-3/ 3 + 2

=> -3/5

So the slope of the equation is -3/5.

The equation is: y = mx + b

In this equation "m" = slope.

=>  b = constant

Now we take the x and y points from the above numbers.

=> Let's take 3 as x and 0 as y.

=> 0 = -3/5 *3 + b

=> 0 = -9/5 + b

=> Take the -9/5 to the other side

=> 9/5 = b

So, the constant number which is not multiplied by the x is 9/5

Now, our equation looks like:

y = -9/5x + 9/5

If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.

WHAT IS THE ANSWER PLS HELPPPPP!!!!!

Answers

Answer:

5^x - 5^-x

Step-by-step explanation:

g(x) = 5^-x

h(x) = 5^x

We want h(x) - g(x)

h(x) - g(x) = 5^x - 5^-x

This cannot be simplified

Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?

Answers

Subtract base fee from total then divide by price per mile:

115.58 - 15.99 = 99.59

99.59 / 0.79 = 126.063 miles

Round the answer as needed.

Help me please

I’m having so much trouble

Answers

Answer:

Step-by-step explanation:

5 * 45 = 225

225+75=300

300/500=0.6

The tank will be 60% full.

If this helped, make sure to mark it as brainliest :D

Answer:

C.60%

Step-by-step explanation:

45 x 5 = 225  225 + 75 = 300

300 / 500 = 0.6 = 60%

Which set of points does NOT represent a function?
OA) (8,5), (7,5), (6,5), (5,5)
O B) (3,-5), (3, -1), (3, 2), (3, 4)
OC) (-2,3), (-3,2), (2, -3), (3, -2)
OD) (4, -1), (5, 1), (-1,4), (1,5)

Answers

Answer:

Answer A does not represent a function(I think)

Step-by-step explanation:

Because the Y-coordinates are the same.

helpppppp plsssssss!!!!!!! in the picture below

Answers

Answer: 24
The area is length times width, or in this case: 6 times 4.

Answer:

266.67 feet^2.

Step-by-step explanation:

The scale is 1:40.

That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.

The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.

The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.

Hope this helps!

Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?

Answers

Answer:

32 remainder 2

Step-by-step explanation:

To divide 162 by 5, we simply do the following:

5 goes into 16 => 3

Multiply 5 by 3 => 3 × 5 = 15

Subtract 15 from 16 => 16 – 15 = 1

Put the 1 before 2 => 12

5 goes into 12 => 2

Multiply 5 by 2 => 5 × 2 = 10

Subtract 10 from 12 => 12 – 10 => 2

In summary,

162 divided by 5 => 32 remainder 2

Please see attached photo for further details.

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