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2 years ago

Another quick geometry question! Thanks!

Mathematics

1 answer:

miss Akunina [59]2 years ago

5 0

Cross multiply.
14/12=x/18
14 x 18 = 252
252/12= 21
so x=21

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There are 10 marbles in the bag. There are two purple marbles, 3 red marbles and 5 yellow marbles. You will pick a marble three

Evgen [1.6K]

Answer:

30/1000

Step-by-step explanation:

red has a chance of 3/10

purple has a chance of 2/10

yellow has a chance of 5/10

for probability, multiply the denominators together, and the numerators together

3*2*5 = 30

10*10*10 = 1000

So the probability of picking red, then purple, and then yellow with replacement is 30 of 1000

Hope this helps!

8 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0

3 years ago

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

Solve the following problems Answer: Explanatoin:

NemiM [27]

Answer:
1) 121.7
2) 131.8
3) 106.2
4) 88.5
5) 90.3
6) 110.2

Explanation:
Don't worry about the decimals when adding since there all aligned just add like usual, straight through.

8 0

3 years ago

Solve the following system of equations by linear combination: 5x 2y = 14 y = x – 7

natta225 [31]

I would use subsitution
y=x-7
sub x-7 for every x
5x+2(x-7)=14
5x+2x-14=14
add 14 to both sides
7x=28
divide both sides by 7
x=4
sub
y=x-7
y=4-7
y=-3

x=4
y=-3
(4,-3)

4 0

3 years ago