What are the dimensions of the vertical cross section that is parallel to the right and left faces of the right rectangular prism?

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

In ΔABC and ΔADC,

AB ≅ AD [Given]

BC ≅ CD [Given]

AC ≅ AC [Reflexive property]

ΔABC ≅ ΔADC [SSS property of congruence]

Therefore, ∠ABC ≅ ∠ADC [CPCTC]

(4x + 13)° = (5x - 15)°

15 + 13 = 5x - 4x

x = 28

Answer:

BDCEA

Step-by-step explanation:

A: area of the triangle = [tex]\frac{1}{2}bh = \frac{1}{2}(10)(4) = \frac{1}{2}(40) = 20 ft^{2} \\[/tex]

B: area of the rectangle + area of the triangle =[tex](5*6) + \frac{1}{2}(5)(6) = 30+15=45 ft^{2}[/tex]

C: area of the rectangle + area of the trapezoid = [tex](6*2) + \frac{1}{2}(b_{1} +b_{2})(h) = (6*2)+ \frac{1}{2}(2+5)(5) = 12+\frac{1}{2}(35) = 29.5 ft^2[/tex]

E: area of the triangle = [tex]\frac{1}{2}bh = \frac{1}{2}(14)(4) = \frac{1}{2}(56) = 28 ft^{2} \\[/tex]

D: area of the rectangle + area of the triangle = [tex](8*3) + \frac{1}{2}(8)(2) = 24+8=32 ft^{2}[/tex]

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

Answer:

Step-by-step explanation:

fat face

Answer and Step-by-step explanation:

Anything that is to the power of 0 is equal to 1. This is why 2 to the power of 0 is equal to 0.

0 is the only number such that for any number x, x + 0 = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

multiply by 2^x

[tex]2^0 \times 2^x=2^{0+x}=2^x\\[/tex]

when you multiply any number by 1 ,you get the same number.

here when you multiply 2^x by 2^0 ,you get 2^x

Hence 2^0=1

Answer:

Step-by-step explanation:

Put the data in the ascending order:

Sum the 3 lowest numbers:

Sum the 3 highest numbers:

Subtract the sums:

The angle of the arc CD is equal to 46°

Data;

In most case, when presented with a problem involving an arc in a circle, we often use the formula of length of an arc. But in this case, the we can simply find the arc CD by just subtracting the arc BC from the bigger arc.

[tex]< CD = < BD - < BC\\ < CD = 148 - 102\\ < CD = 46^0[/tex]

The angle of the arc CD is equal to 46°

Learn more on length of an arc here;

https://brainly.com/question/8177962

Answer:

x = -6

Step-by-step explanation:

3/2x + 8 = -1

3/2x = -9

x = -9 x 2/3

x = -6

Hope that helps! A Brainliest would be appreciated! :)

<3 Cin

Answer:

Car B is 1.125 times faster than Car A.

Step-by-step explanation:

Speed = Distance / Time

Car A speed = Car A distance / Car A time

= 60 / (5/6) = 72km / hr

Car B speed = Car B distance / Car B time

= 54 / (2/3) = 81 km /hr

Car B is 81 / 72 ie = 1.125 times faster than Car A.

Answer:

1/12

Step-by-step explanation:

1) covert 1/2 to 3/6 to subtract 2/6 from it. this gets 2/6, which simplifies to 1/3

2) divide 1/3 by 4 which gets 1/12

Answer:B

Step-by-step explanation:

Answer:

I would say D

Step-by-step explanation:

I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks

Answer:

The triangle will not be possible.

this is because two side lengths can't expand 14 units.

in order for the triangle to work, the sum of the two short side lengths must be greater than the longer side.

however, 6+6 does not equal 14 it equals 12 this means that the triangle is not possible

Step-by-step explanation:

Answer:

It's the last answer

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

.

Siplified 1.6y

-3

y=x + 5

A ( To check a system of equations by substitution, you plug your values for x and y into the original equations. If both simplified expressions are true then your answer is correct.

For example: To check if  

(

2

,

−

3

)

was the correct solution for the system of equation:  

y

=

−

x

−

5

,

substitute 2 for x and -3 for y into each equation

They intersect and the lines are the same as parallel. They share the same line as going x to y.

sorry if its a little bit scrambled (i did this last year)

thanks if you give branliest as well

Answer:

See below.

Step-by-step explanation:

Tangent segments drawn to a circle from a point outside that circle are congruent.

Using proportions, it is found that:

A proportion is a fraction of a total amount.

In this problem, the markup is of 40% over an amount of $1000, hence:

0.4 x $1000 = $400.

Considering the markup, 100 bracelets will be sold for $1,400, hence, the price of each bracelet will be given by:

$1,400/100 = $14.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

x = -52

Step-by-step explanation:

-4x-46+46=-3x+6+46

-4x=-3x+52

-4x+3x=-3x+52+3x

Answer:

[tex] - 4(x + 10) - 6 = - 3(x - 2) \\ - 4x - 40 - 6 = - 3x + 6 \\ - x - 52 = 0 \\ x = - 52[/tex]

Answer:

C

Step-by-step explanation:

The rest are correlation

Answer:

it would be 13

Just do 25 -12

Consider marking brainliest

Answer:

13

Step-by-step explanation:

1) use the formula of distance:

|-25-(-12)|

2) remember that - * - = +

|-25+12|

3) solve the operation

|-13|

4) remember that a distance can’t be negative

13

Answer:

24 servings

Step-by-step explanation:

6 pounds = 96 ounces

96/48 = 48/x

x = 24

Answer:

7d=30

d=18.5714

Step-by-step explanation:

Answer:

d=20

Step-by-step explanation:

4d & 3d are like terms because they both have a variable.

20 & 5 are alike because they both don't have a variable.

First you would add 4d and 3d together, and you will get 7d.

4d+20+3d-5=155

7d+20-5=155

Next you can subtract 5 from 20.

7d+15=155

Then you subtract 15 from both sides of the equation.

7d=140

Then you divide by 7 on both sides.

And you are left with d=20

Answer:

226.19

Step-by-step explanation: