Find AE.
1.) B is the midpoint of AC, D is the midpoint of CE, and BD=7. Find AE

A) 7
B) 14
C) 49
D)21

Answer:

Explained below

Step-by-step explanation:

Hi! Do you know the similar triangle rules?

I will prove one for you and you can try the rest

ΔCBD ~ ΔABC proof:

st                              | r

1) ΔABC is right Δ    | Given

2) CD is alt to hyp   | Given

3) m∠C = 90°           | def right Δ

4) m∠CDB = 90°      | def alt

5) m∠B = m∠B         | reflexive property (more triangles share ∠B)

6) ΔCBD ~ ΔABC     | AA (since two angles are equal, the two triangles are similar)

We do not need to prove all three angles as similar since if two corresponding angles of two triangles are congruent, the third has to be equal (since the total sum of angles is 180° in a triangle)

You can translate the statement reasoning into a paragraph

I hope this helps! If not, let me know and I will try and explain further :)

Answer:

20 years

Step-by-step explanations:

You just do the work and figure it out and it gives you the answer of 20 years

Answer:

210,000mg of acetaminophen

Step-by-step explanation:

42 × 5= 210

210 grams

1 g= 1000mg

210g=210,000mg

Hope this helps! :)

Answer:

56

Step-by-step explanation:

Complete question:

Z varies jointly with x and y , x=2 and y=2, z=7. Find z when x=4 and y=8 using joint variation . (I need the problem worked out step by step)

If z varies jointly with x, and y, this is expressed as;

z = kxy

If z=7 when x= 2, y= 2

7  = k(2)(2)

7 = 4k

k = 7/4

To get z when x= 4 and y = 8

z = kxy

z =7/4 (4)(8)

z = 7*8

z = 56

Hence the value of z is 56

Answer:

94 boxes of samoas

131 boxes of thin mints

Step-by-step explanation:

m=mints

s=samoas

s+m=225    m=225-s

s(2.5)+m(3)=628

2.5s+3m=628

substitute for m

2.5s+3(225-s)=628

2.5s+675-3s=628

reduce

-0.5s=-47

s=94

m=131

Answer:

a. At most 40

Step-by-step explanation:

If we take the survey that was done as a basis then we would use the 16% that was obtained as the number of overall US adults that have had their accounts used without their permission. Assuming that the 250 selected individuals were selected at random and without bias then those 250 would also be representative of the entire population. Therefore, we would simply need to multiply the number of selected individuals by the percentage in decimal form.

16 / 100 = 0.16

250 * 0.16 = 40

Finally, we can see that roughly 40 individuals would have had their email used without permission.

Answer:

x + 40

Step-by-step explanation:

Con la informacion de la pregunta vemos que Kelly tiene una cierta cantidad de plata ahorrada. Este ahorro se puede demonstrar con la variable x. Despues de completar su trabajo le pagaron $40 y los agrego a sus ahorros. Entonces simplemente tenemos que sumar los $40 a los ahorros que ya tenia (x). Esto nos dara la cantidad nueva de sus ahorros

x + 40

Answer: Choice B

They did not perform the cross multiplication properly

The correct step should be m*24 = 8*15 which solves to m = 5

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

Explanation:

In general, if we had the equation A/B = C/D, then it cross multiplies to A*D = B*C. We refer to this as cross multiplication because of the shape made when we connect the terms (to figure out what multiplies with what). The diagram below shows what I mean.

So that's why m/8 = 15/24 cross multiplies to m*24 = 8*15

Simplifying things a bit leads to 24m = 120. Then we divide both sides by 24 to fully isolate m and we get m = 120/24 = 5. Therefore, m = 5.

Answer:

-9

Step-by-step explanation: I know this problem since I use khan academy too and I got the answer wrong and it helped by saying it was -9.

Answer:

m∠CDE = 37°

Step-by-step explanation:

Since, AB║CD and AC is a transversal line.

∠EAB ≅ ∠ECD [Alternate interior angles]

m∠EAB = m∠ECD = 25°

m∠CED + m∠AED = 180° [Linear pair of angles]

m∠CED + 62° = 180°

m∠CED = 180° - 62°

              = 118°

By triangle sum theorem In ΔCDE,

m∠CED + m∠CDE + m∠ECD = 180°

118° + m∠CDE + 25° = 180°

m∠CDE + 143° = 180°

m∠CDE = 37°

Answer:

5

Step-by-step explanation:

The right angle is 5 so that means the x is 5

Answer:

5

Step-by-step explanation:

9+6=15, 3*3=9 3*5=15 so the answer for x is 5

Answer:

b - 0.60b

= 0.40b

Step-by-step explanation:

The expression would be

here the original cost is b

And Juan sells it for 60% less than original price

So the expression is

= b - 0.60b

= 0.40b

This would be the expression that shows the selling price of the boat

Answer:

P(Green ball) = 1/3

Step-by-step explanation:

You have a sack of 90 balls. 35 blue, 30 green and 25 pink. If you randomly pull one ball out of the bag, what is the probability of pulling a green ball?

The Probability of pulling a green ball =

P(Green ball) =

Number of green balls/ Total number of balls

= 30 green balls/90 balls

P(Green ball) = 1/3

Answer:

x = -2 is a function

Step-by-step explanation:

To get which is a zero, we have to look at one value of x which when substituted into the polynomial will give -1

we have this as:

Let us try the value x = -2

-2^5 + 2(-2)^4 - 2 + 2

= -32 + 32 - 2 + 2 = 0

This means that the term x = -2 is a root of the equation

Answer:

$5.23

Step-by-step explanation:

(7x.25)+13(.05)+.23+6(.10)+2.00=1.75+.65+.23+.60+2.00=$5.23

Answer:

$5.23

Step-by-step explanation:

7 quarters: $1.75

13 nickels: $0.65

23 pennies: $0.23

6 dimes: $0.60

2 dollar bills: $2

Total: $5.23

Answer:

P is greater than -8

P is less than -5

When the circle is hollow that means its never equal to  

When the circle is full it means its equal to

it matters which direction the line is going  

if it goes to the right and it is hollow that it is greater than  

if goes to the left and it is hollow it is less than the number the circle is on  

If the circle is full when it goes to the right then that means its greater than or equal to from the number its going from  

same thing to the left

sum of all exterior angles equals to 360

sum of interior angles equal to 180

divide 360 by 122 to find b the rest you'll get it

as you go further in the question

Answer:

x is less than or equal to negative 14.

Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

-x/3=14/3

multiply both sides by 3

-x=14

x=-14

so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

Answer:

The area of the base of a box is 1800 cm².

Step-by-step explanation:

We have:

H: is the height = 4 cm

[tex]A_{l}[/tex]: is the lateral surface area = 120 cm

L = 2B                                                                

We can find the breadth of the base by using the lateral surface area and the height:

[tex] A_{l} = H*B [/tex]        

[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]

Now, if the length is twice its breadth we have:

[tex] L = 2B = 2*30 cm = 60 cm [/tex]

Hence, the area of the base is:

[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]

Therefore, the area of the base of a box is 1800 cm².

I hope it helps you!                                                        

Problem 1

Two things you could measure is a person's height and the speed needed to reach the planet Mars. The person's height can be measured with a low level of precision, which means we don't need to be that accurate. We could say "that person is about 6 feet tall" and whoever is listening would get a sense of their height. In contrast, we need high precision for a rocket speed to Mars because getting this figure wrong would likely cause disaster down the road. Very complicated mathematics is essential to make sure we hit the target required in space.

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

Problem 2

As mentioned, we need high precision when it comes to anything dealing with space travel. If the calculations are wrong, then the spacecraft could crash somehow. As one example where things went wrong, engineers used the wrong values and the Mars lander ended up crashing into the planet rather than landing safely. The high cost of such space exploration missions means that it's very crucial to get precise values as much as possible, to as accurate as possible. Things like discussing a person's height isn't that essential to be very precise as we can just relay estimates to whoever we're talking to. This informal setting doesn't demand as much accuracy compared to something like a rocket launch.

Hello, the graph sould be like this. Just remember, if you want to draw a graph, you should know the x and y state. x is from left and y is from right.

Answer:

4 is the co efficient and 3 is the constant

Co efficients are when a number is close to a variable, constants are a number by itself.

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

Answer:

A) Hummingbirds drinking nectar from a plant.

Step-by-step explanation:

Here are some examples of natural selection: In a habitat there are red bugs and green bugs. The birds prefer the taste of the red bugs, so soon there are many green bugs and few red bugs. The green bugs reproduce and make more green bugs and eventually there are no more red bugs.

Answer:

A

Step-by-step explanation:

Answer A has two of the five possibilities, and each section is equal so there is an equal probability for each. Add up the two possibilities for 2/5.