Determine the measure of the unknown angle in the triangle.

Determine The Measure Of The Unknown Angle In The Triangle.

Answers

Answer 1

you add 78 plus 37 then subtract from 180

Answer 2

Answer:

65°

Step-by-step explanation:

Let the unknown angle be ∠ABC

∠ABC + 78° + 37° = 180° (angle sum property of a triangle)

∠ABC + 115° = 180°

∠ABC = 180° - 115°

∠ABC = 65°

∴the unknown angle in the triangle is 65°


Related Questions

What is the length of line segment BC

Answers

Answer:

BC = 1

Step-by-step explanation:

AB = x + 16

BC = x +6

AB + BC = AC

x + 16 +x + 6 = 12

x + x + 16 + 6 = 12

        2x + 22 = 12

              2x = 12 - 22

             2x = -10

               x = -10/5

x = - 5

BC = x + 6 = - 5 + 6 = 1

Answer:

BC = 1

Step-by-step explanation:

Frm the diagram

AB + BC = AC , substitute values

x + 16 + x + 6 = 12

2x + 22 = 12 ( subtract 22 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Thus

BC = x + 6 = - 5 + 6 = 1

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answers

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years

Answers

9514 1404 393

Answer:

  $241.81

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

Filling in the values and doing the arithmetic, we have ...

  I = $2650×0.0365×2.5

  I = $241.81

The simple interest paid is $241.81.

I am doing a percent equation problem and I need help please here’s the question 20% of blank =10

Answers

Answer:

[tex]50[/tex]

Step-by-step explanation:

Let [tex]x =[/tex] blank (for convenience)

[tex]20\%x=10[/tex]

[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)

[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)

[tex]x=50[/tex]

∴ Blank = 50

Hope this helps :)

What is the area of rectangle CDEF?
Area= ...square units

Answers

Step-by-step explanation:

I think it's 48 square units

Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary

Answers

Answer:

40 degrees

Step-by-step explanation:

360/9=40

The solution is 40°

The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°

What is the sum of an exterior angle of a polygon?

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line

Sum of exterior angles of a polygon = 360°

Measure of each exterior angle = 360° / N

where N is the number of sides

Given data ,

Let the measure of each exterior angle be = A

Let the number of sides of the polygon be = N

Now , the polygon is a nonagon

So , the number of sides N = 9

Now , The sum of exterior angles of a polygon is 360°

So ,

The measure of each exterior angle is given by the equation  360° / N where N is the number of sides

Substitute the value for N in the equation , we get

The measure of each exterior angle = 360°/9

The measure of each exterior angle = 40°

Therefore , the value of A is 40°

Hence , the measure of each exterior angle is 40°

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ANSWER ASAP look at pic and answer #18

Answers

Answer:

Four

Step-by-step explanation:

Answer: will have to be 4

what is the cost per ounce for 10 ounce package of cashews

Answers

Answer:

you have to give more explanation as right now the equation is unsolvable

Step-by-step explanation:

(-1,5) (2,-5) what is the slope can anyone please help

Answers

Slope= y2 - y1
———- = 1/0 or 1
X2 -X1
-1-2 = 1
-5-5= 0

Please help me!!!!!! I really neeeeeeed

Answers

Answer:

A-(x+4,y-5)

B- move 1 unit left and 7 units down

Step-by-step explanation:

A- 4 units right is x so

(x+4,y__)

5 units down is y so

(x+4,y-5)

B- move 1 unit left and 7 units down

because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.

TIP- Going left/down is always subtract/negative going right/up is positive/addition.

Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?

Answers

Answer:

18%

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

Can someone do this please

Answers

ok so umm you need to do 5x4= 20 and divide 20 and 4 you get 5 and multiply 5x4 you get 20 and the answer is 20

MARKING PEOPLE AS BRAINLIST ARE THE TRRIANGLES CONGRUENT HOW DO YOU KNOW? Please help thank you :)

Answers

All of the angles and sides are the same

The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie

Answers

Answer:

b

Step-by-step explanation:

circumference= 2πr

37.8cm = 2πr

r= 6 cm

Area= πr^2

area = 113cm^2

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?

Answers

Answer:

12%

Step-by-step explanation:

So 5.5 to 5.62 is .12

Then calculate the difference of 5.5 *.12=0.66

Then do “0.66 is what percent of 5.5?”

The answer is 12%

Thank you for reading, and mark this brainliest

Hello I don't know what I'm doing can someone please help.
I don't know how to solve a standard form slope equation can you please explain what I have to do.
The slope of the line 5x + y = 15 is___

Answers

Answer:

x = -1/5y +3

Step-by-step explanation:

add -y to both sides

5x + y + -y = 15 + -y

5x = -y + 15

step 2 divide both sides by 5

5x/5 = -y +15/5

x= -1/5 y +3

Answer

x= -1/5 y + 3

What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.

Answers

the slope of this line i’m pretty sure is 2,6 of it is wrong i aplogize but this is the most reasonable answer thanks you for your time and i hope you get the answer right

Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?

Answers

Answer:

Step-by-step explanation:

spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.

spencer has $20 to spend on gas for his car at fuel stop.

since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.

hope this helped

If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World

What is Number system?

A number system is defined as a system of writing to express numbers.

Given,

Spencer bought gas for his four-wheeler from Gas World on Saturday

He bought the same amount of gas from Fuel Stop for less money on Sunday

Now, Spencer has $20 to spend on gas for his car.

since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.

Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World

To learn more on Number system click:

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What’s the slope of the line that passes through (-9, -4) and (6, 15).

Answers

19/15, look at the attachment for work

find slope and y-intercept formed the graph if the linear equation
y=1/4x-8​

Answers

Answer:

not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.

Step-by-step explanation:

the slope is 1/4 while the y-intercept is -8 or (0,-8)

Answer: slope: 1/4

y-intercept: (0,-8)

Hope this helps and good luck :)

Step-by-step explanation:

Which system of inequalities describes the graph?

Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

2 1/3 + 3 2/4 =

Fractions

Answers

5 5/6 is the answer I think

Step-by-step explanation:

2 1/3+3 2/4=7/3+14/4

=28/12+42/12 (common denominater)

=70/12

=5 10/12

for a relation to be a function what must never happen

Answers

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients

Answers

Answer:

is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.

Step-by-step explanation:

Answer:

nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents

why does math have to be so hard

Answers

I felt this, I’m currently failing even tho I’m trying but that could also be because my teacher doesn’t like me

Answer:

Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.

Math is hard because it is a non-intuitive, non-natural activity. Math don't happen by chance only, it only happens with deliberate, focused work. For this you expend a lot of energy and cause a lot of mental strain, you put yourself on an uncomfortable condition for hours, days, sometimes weeks to solve a problem.

But some people love math, like me, because they study math more than others. If you study more and learn more about math, then you’ll start to feel more comfortable because you’ll be ahead of the class when your teacher teaches you something.

The most important thing is to keep trying and never give up.

Hope this helps! :)

please help me with this question

Answers

Answer:

First question is 109

Second question is 45, but I guess it's a typo with 145.

Solve (v +3) - 44 = 0, where v is a real number.

Answers

the answer to your question is v=- 41

Answer: V = 41

Explanation in the photo below

Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?

Answers

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

help asap!!! it’s due in 20 minutes .

Answers

Answer:

ab

Step-by-step explanation:

i neeed thiss pleaseeeeeee!!!!!!

Answers

2 the answer is two I think
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