14) Are these TRUE or FALSE?
3/1= 1/3
3/1 = 1
3/3 = 1​

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

Answer:

a) BD = 5

b) FD = 13

Step-by-step explanation:

For both questions we follow pythagoras therom.

For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5

For the second we have to find the base of  GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.

Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.

Answer:

Step-by-step explanation:

AD =BC = FG = EH = 3

AB = DC = EF =HG = 4

BF =AE = DH = CG = 12

Use Pythagorean theorem,

Hypotenuse² =  base² +altitude²

BD² = DC² + BC²

       = 4² + 3²

        = 16 + 9 = 25

BD = √25

BD = 5

DG² = DC² + CG²

       = 4² + 12²

       = 16 + 144

       = 160

FD² = DG² + FG²

      = 160 + 3²

      = 160 + 9

      = 169

FD = √169 = 13

FD = 13        

Answer:

She will earn £9.01 per hour after the pay rise

Step-by-step explanation:

Here, we want to calculate a value, given the percentage of the pay rise

From the question, the percentage is 6%

The pay rise is thus;

8.50 + 6% of 8.50

= 8.50 + (6*8.5)/100

= 8.50 + 0.51

= £9.01

Answer: who me?

Step-by-step explanation:

Oh sure thing. XD

Step-by-step explanation:

50 +29+3022+378+2920

120+333839+2828

r

Answer:

It’s A

Step-by-step explanation:

Did the quiz

abcd is a parallelogram

Step-by-step explanation:

so yiu gotta like 1 angle to the 2 angle buy thats seprare from the 3 angle to the 4 angle

Answer:

A-$2,368.29

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

[tex](4x + 2) \degree = 360 \degree - (85 + 40 + 75 + 130) \degree \\ \\ (4x + 2) \degree = 360 \degree - 330 \degree \\ \\ (4x + 2) \degree = 30 \degree \\ \\ 4x + 2 = 30 \\ \\ 4x = 30 - 2 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Answer:

1.the sum of three consecutive odd number is 177 find the number

let three consecutive odd number be x,x+2&,x-2.

by question

answer

x+x-2+x+2=177

3x=177

x=177/3=59

x-2=59-2=57

x+2=59+2=61

required no are 59,57&61

2. find three consecutive even

number which add 1524

answer

let three consecutive even

number be x-2,x+2&x

by question

x-2+x+2+x=1524

3x=1524

x=1524/3=508

x-2=508-2=506

x+2=508+2=600

required no are 508,506&600

3.when a number is doubled and the added to 13 the result is 3.8 find the number

answer

let no be x

by question

2x+13=3.8

2x=3.8-13

x=-9.2/2=-4.6 is the required number

Answer:

Step-by-step explanation:

[tex]7\frac{1}{4}*\frac{8}{9}*\frac{3}{4}=\frac{29}{7}*\frac{8}{9}*\frac{3}{4}\\\\=\frac{29*8*3}{7*9*3}\\\\=\frac{29*2*1}{7*3*1}\\\\=\frac{58}{21}\\\\=2\frac{16}{21}\\[/tex]

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

Linear Equations & Functions -

Basically, this equation is meant for functions and graphing functions.

[tex]y = 18 \times \: x[/tex]

x,y

2,36

5,90

You could also use this to find the slope:

y1-y2

--------

x1-x2

:

-54

-----

-3

=18

You could also graph it.

Answer:

Step-by-step explanation:

estimate, appraise, evaluate, value, rate, assess mean to judge something with respect to its worth or significance.

Answer:

1.8

Step-by-step explanation:

So [tex]log_{5}[/tex] 16 is [tex]log_{5}[/tex] 4(4) so [tex]log_{5} 4 + log_{5} 4[/tex] = .9+.9=1.8

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

Answer:

h = 3 feet

Step-by-step explanation:

Given that,

The bases of trapezoid are 22 feet and 14 feet long.

The area of trapezoid is 54 square feet.

We need to find the height of the cross section. The formula for the area of trapezoid is given by :

[tex]A=\dfrac{1}{2}(\text{sum of parallel sides})\times h\\\\54=\dfrac{1}{2}\times (22+14)\times h\\\\54=\dfrac{1}{2}\times 36\times h\\\\54=18h\\\\h =\dfrac{54}{18}\\\\h=3\ feet[/tex]

So, the height of the cross section is 3 feet.

Answer:

[tex]0 \: is \: the \: answer[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] - 3 + 5 - 2[/tex]

2) Simplify -3 + 5 to 2.

[tex]2 - 2[/tex]

3) Simplify.

[tex]0[/tex]

Therefor the answer is 0.

Answer:

M-> R, O -> U, and P -> G

Step-by-step explanation:

Since the triangles are congruent (equal), do you see how it is a mirror image so M is mapped to R, O to U, and P to G, since those are the corresponding points

Step-by-step explanation:

4 cubic blocks would be required to find the volume of the glass case.

Answer:

4

Step-by-step explanation:

Answer:

86 milkshakes and 63 ice cream were sold

Step-by-step explanation:

Let the amount of milkshake sold be x

Let the amount of ice cream sold be y

If  she sold 149 milkshakes and ice cream cones then;

x+y = 149 ... 1

If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;

4x + 3y = 533 ....2

Solve both equations simultaneously

x+y = 149 ... 1  * 4

4x + 3y = 533 ....2 * 1

________________________

4x+4y = 596

4x+3y = 533

Subtract

4y-3y = 596-533

y = 63

since x +y = 149

x+63 = 149

x = 149 - 63

x = 86

Hence 86 milkshakes and 63 ice cream were sold

The total balance he will have in the accounts at the end of 2 years

is D. $870.88.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.

∴ P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.

= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².

= 450 + 40.5 + 350(1.0425)².

= 490.5 + 380.38.

= $870.88.

learn more about compound interest here :

https://brainly.com/question/19090581

#SPJ2

Answer:

I think it's 8ft. Hope it helps.

Answer:

79

Step-by-step explanation:

Order of operations GERMDAS

Grouping: no grouping

Exponents: 9²=81 so 6÷3+81-4

Radicals: no radicals

Multiplication: no multiplication

Division: 6÷3=2 so 2+81-4

Addition: 2+81=83 so 83-4

Subtraction: 83-4=79

Answer:

79

Step-by-step explanation:

6/3+9^2-4             9^2= 81           6/3+81-4                  6/3 = 2                  2+81-4= 79

Answer:

100/5=b

Step-by-step explanation:

do 100 divided by 5 then that will be your answer, b