On a coordinate plane, triangle A B C has points (1, 1), (4, 0), (3, 5).
What is the area of triangle ABC?

3 square units
7 square units
11 square units
15 square units

Answer:

x = 8

The missing measures are 85 degrees

Step-by-step explanation:

Since 9x + 13 and 11x - 3 are on opposite sides, they are equal, so

9x + 13 = 11x - 3

Subtract 13 from both sides:

9x = 11x - 16

Subtract 11x from both sides:

-2x = -16

Divide both sides by -2:

x = 8

The angle measures are

9(8) + 13 = 72 + 13 = 85

11(8) - 3 = 88 - 3 = 85

Answer:

9x+13 = 11x-3

x = 8

The angles are 85

Step-by-step explanation:

The angles are vertical angles so they are equal

9x+13 = 11x-3

Subtract 9x from each side

9x+13 -9x = 11x-9x-3

13 = 2x-3

Add 3 to each side

13+3 = 2x-3+3

16 =2x

Divide by 2

16/2 = 2x/2

8 =x

11x-3 = 11(8) -3 = 88-3 = 85

Answer: $13.75

Step-by-step explanation:

Since Mrs. Chin paid a 20 percent tip on the bill for lunch and the tip amount was $2.75, then the bill for lunch before the tip was added to it will be calculated thus:

Let the bill for lunch be represented by x. Therefore,

20% of x = $2.75

20/100 × x = $2.75

0.2 × x = $2.75

0.2x = $2.75

x = $2.75/0.2

x = $13.75

Therefore, the bill is $13.75 before the too was added.

Answer:

Step-by-step explanation:

The top part (is a square)

Area = s^2

Area = 10 * 10

Area =                                     100

The bottom part is a trapezoid

h = 4

b1= 6

b2 = 10

Area = (b1 + b2) * h / 2

Area = (10 + 6 ) * 4/2

Area = 16 * 4 /2

Area =                                     32

Total Area =                           132

Answer:

the area in square meters of the entire shape is = 17.4

Step-by-step explanation:

(8,7*4)/2=17.4. the formula for the area of a triangle is a=bh/2

Answer:

17.4m^2

Step-by-step explanation:

A=1/2×a×h

A=1/2×8.7m×4m

A=17.4m^2

Answer:

y =24

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

y+18  + 3y -41  = y+49

Combine like terms

4y -23 = y+49

Subtract y from each side

4y -y -23 = y+49-y

3y -23 = 49

Add 23 to each side

3y -23+23 = 49 +23

3y = 72

Divide by 3

3y/3 = 72/3

y =24

Scale factor = (image)/(preimage)

[tex]AC=8\\\\A'C'=12[/tex]

So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]

Answer:14 dollars, 2 pounds

Step-by-step explanation:

for they first one your just rounding wich is kinda easy you just round it up to the nearest dollar wich is 1 plus 13= 14 dollars.

for the second one it would be better to specify, but since we already did rounding on the first one this might be about the same topic, meaning it might be 2 pounds. But if not 2 and 1/4 of a pound.

Answer: the answer is in simple rounding-terms, 13.55 dollars rounded to dollars is just rounding off the cents, specifically the dimes or quarters. 55 cent can also be a half-dollar, but that is not important, 0.5 can be rounded to 1 in this case, so for question 14 you would add one to 13 dollars since 0.50 cents got rounded to 1 dollar and you get 14 dollars as your answer for the first question. for the next question American cheese i would assume is the same as the cheese referenced by Mr. Marsh, so the answer  would be 2.25 pounds of cheese for number 15

Step-by-step explanation: my answer.

the answer is 14, 2.25

Answer:

1. the side length of the square is 3 when its perimeter is 12.

2. (20/21, 5/21)

Step-by-step explanation:

2. 20/21 ÷ 4 = 20/21 × 1/4 = 5/21(the side length of the square with the given perimeter of 20/21)

=> (20/21, 5/21)

Answer: A

Step-by-step explanation:

x/32 = 18/13

Answer:

7mm:10mm

Step-by-step explanation:

1cm =10mm

so 7:10

Answer:

that is behavior that coefficient

Answer:

Step-by-step explanation:

Let the age of Kapil is 4x and that of Ramu is 5x.

After 5 years,

Kapil's age = 4x+5

Ramu's age = 5x+5

ATQ,

4x+5+5x+5 = 46

9x+10 = 46

9x = 36

x = 4

Present age of Kapil = 4x = 4(4) = 16 years

Present age of Ramu = 5x = 5(4) = 20 years

Answer:

YW = 10 units

Step-by-step explanation:

∠Y ≅ ∠X ⇒ WX ≅ WY ⇒ YW = 10 units

Answer:

25

Step-by-step explanation:

20, 30, 40, 10, 15, 25, 35

Put the data in order from smallest to largest

10,15,20, 25,30,35, 40

The median is the middle

There are 7 pieces of data so the 4th piece is in the middle

10,15,20,     25,   30,35, 40

25 is in the middle so it is the median

[tex]\huge\text{Hey there!}[/tex]

[tex]\bullet \large\textsf{ When you are finding your median you have to place the values from}\\\large\textsf{from descending (least) to ascending (greatest) and find the number}\\\large\textsf{in the center (middle) of that.}\\\\\\\\\bullet\large\textsf{ So, when you see or hear the word median in mathematics thing of it is}\\\large\textsf{asking \bf what is your middle number set}[/tex]

[tex]\large\textsf{Original set: 20, 30, 40, 10, 15, 25, 35}\\\\\\\\\large\textsf{Converting set: 10, 15, 20, 25, 30, 35, 40}\\\\\\\large\textsf{Make sure it is even on each of your sides to justify your result to this}\\\large\textsf{data set/question}\\\\\\\large\textsf{So, far it is even on both sides when you land on \bf number 25}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 25}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

d

Step-by-step explanation:

any three point line on a distinct line

i think....

Answer:

i dont know im sorry i wish you the best bro

Step-by-step explanation:

Answer: 336 ways

Step-by-step explanation:

Given

Sam has 8 models and he needs to place 3 on a shelf

3 models can be selected out of 8 in [tex]^8C_3[/tex] ways

It can further be arranged among themselves in [tex]3![/tex] ways

Therefore, total number of ways are

[tex]\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}[/tex]

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

Answer:

its b The angles need to add up to 90 degrees and this fits the formula

Answer:

B is the right answer

Step-by-step explanation:

Hope this helps you!!

Answer:

x = 10

Step-by-step explanation:

(5x + 20) = 70

5(10) + 20 = 70

Answer:

11.9 km

Step-by-step explanation:

Distance travelled in 1 day = 7.14 / 3 = 2.38

distance he travels in 5 days = Distance travelled in 1 day x 5 = 11.9 km

Answer:

64%

Step-by-step explanation:

Answer:

ok 2 pound per 1 doller and 1 pund per0.50 cent

Step-by-step explanation:

Problem 1

The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.

6x = 30

x = 30/6

x = 5 is the answer

====================================================

Problem 2

The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).

So,

5x+(3x+12) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21 is the answer

Answer:

(x, y) = (-1, 4)

Step-by-step explanation:

3x + 3y = -3 (1)

-2x + y = 2 (2)

From (2)

y = 2 + 2x

Substitute y = 2 + 2x into (1)

3x + 3y = -3 (1)

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

3x + 6 + 6x = -3

9x + 6 = -3

9x = -3 - 6

9x = -9

x = -9/9

x = -1

Substitute x = -1 into (2)

-2x + y = 2 (2)

-2(-1) + y = 2

-2 + y = 2

y = 2 + 2

y = 4

(x, y) = (-1, 4)

Answer:

(-1,0)

Step-by-step explanation: