This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit? ______ units

Answer:

D) m<1 = 50 m<7 = 130

Step-by-step explanation:

Lets set up the equation!

We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!

4x-30 = 2x+50

Add 30 to both sides

4x = 2x +80

Subtract 2x from both sides.

2x = 80

Divide both sides by 2

x = 40

Now that we know x we can just plug it into the expression of m<4 to find m<1

4x-30

4(40)-30

80 - 30

50

m<4 = 50

Because m<1 and m<4 are vertical angles they are congruent!

m<1 = 50

We also know m<4 and m<5 are congruent so m<5 = 50 as well.

Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.

x represents m<7

50 + x = 180

Now we solve by subtraction 50 from both sides

x = 130

m<7 = 130

Brainliest is appreciated!

Answer:

g=12/7

Step-by-step explanation:

Answer:

477

Step-by-step explanation:

:)

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

https://brainly.com/question/28380652

#SPJ2

Answer:

10kg

Step-by-step explanation:

For UPS;

express fee = $10

If one kg costs $2, then x kg of package will coat $2x

Total cost of shipping xkg of package will be 10+2x

For FedEx;

Fixed express fee = $20

If one kg costs $1, then x kg of package will coat $1x

Total cost of shipping x kg of package is 20+x

If the total costs of the two options are the same, then;

10+2x = 20+x

2x-x = 20-10

x = 10.

Hence Eric sent 10kg of package

Answer:

B

Step-by-step explanation:

0.4 x 16.8 or 40% off of 16.80 is 12

Step-by-step explanation:

Step one:

given data

amount deposited=$48

after the purchase of groceries

account balance= $19

cell phone bill, which= $31

Step two:

The account balance after paying for groceries will be

=19-31= $-12

she will have a deficit of $12, hence a negative account balance

To start, Deena had a positive balance. -------True

In this situation, 0 represents an empty bank account. -----True

After paying for groceries, Deena had a negative balance. ---True

After paying her cell phone bill, Deena had –$12 in the account. ...True

The smallest balance in the account was $19. ....True

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

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

Work Shown:

Use the compound interest formula

A = P*(1+r/n)^(n*t)

A = 10000(1+0.039/1)^(1*4)

A = 11,653.65589441

A = 11,653.66

That's the amount of money Tammy will have at the end of 4 years.

Subtract off the principal from this value to get the interest.

interest = A - P

interest = 11,653.66 - 10,000

interest = 1,653.66

Answer:

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4  =

-0.75

Step-by-step explanation:

Hope this helped!!!!

Answer:

y=(-3/4)+2

Step-by-step explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]

We will plug in the values of the points given and find that:

slope (m)= [tex]\frac{-1-2}{4-0}[/tex]

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

[tex]y-y1=m(x-x1)[/tex]

Plugging in values:

[tex]y-2=(\frac{-3}{4})(x-0)[/tex]

after isolating y we find that the equation is:

[tex]y=\frac{-3}{4} x+2[/tex]

Hope this helps!

-HM

Answer:

According to me all the options are correct

Answer:

- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!

branliest

Step-by-step explanation:

Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.

Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.

Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.

Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.

To find the equation of the parabola, first let's write the parent function,

y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:

y= x^2 +4

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

Answer: The probability of selecting a mint 1/6

Step-by-step explanation:

the jar contains 30 different candies

out of the 30, 5 are mints

5/30 = 1/6

Answ

yes

Step-by-step explanation:

Answer:??

Step-by-step explanation: How do I use this app??

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

Answer:

11025

Step-by-step explanation:

100+5÷100=1.05 squared

10000x1.05squared=11025

Answer:

Amount = 11205

CI = 1205

Step-by-step explanation:

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

Here,

p = 10000

r = 5% = 5/100 = 0.05

n = 1

t = 2

[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]

[tex]a = 10000(1.05) {}^{2} [/tex]

[tex]a = 10000(1.1025)[/tex]

[tex]a = 11205[/tex]

C.I = a - p

C.I = 11205 - 10000

C.I = 1205

Answer:

this answer should be green

Answer:

50 grams

Step-by-step explanation:

36 grams = 72%

→ Find 1% by dividing both sides by 72

0.5 grams = 1%

→ Times both sides by 100 to find 100%

50 grams = 100%

Step-by-step explanation:

Multiply 32 by 72 to get thw mass.

Answer:

D. 3

Step-by-step explanation:

3x−2y=−6

solve for y

-2y=-3x-6

y= 3/2x+3

y=mx+b

b= y intercept --> b = 3

Answer:

Let y=x,

y=(x-9)7

(y+9) ÷7=x

f-1(x)=(y+9)÷7

Answer:

price per ounce: $4.48

Step-by-step explanation:

divide 40.32 by 9

Answer:

0.28

Step-by-step explanation:

9 pound = 144 ounce

40.32 / 144 = 0.28