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3 years ago

According to the side splitting theorem, which of the following proportions is true

Mathematics

1 answer:

allochka39001 [22]3 years ago

6 0

Answer: $\frac{AC}{CE}=\frac{BD}{DE}$

Step-by-step explanation:

1. According to this theorem, when a line is a parallel with one of the sides of the triangle and touch or intersect the other two sides of this triangle, then this two sides are divide proportionally by the line.

2. Keeping the information above on mind, you can see that the line CD is parallel to AB and intersect the sides AE And BE, therefore, you con conclude the following:

$\frac{AC}{CE}=\frac{BD}{DE}$

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My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul

Alina [70]

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000 flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000 new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000 mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

7 0

2 years ago

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first

Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

Set up equation before taxes.

y = x - 1500 eq1

Set up equation for total tax paid.

0.065x + 0.06y = 378.75 eq2

Substitute eq1 into eq2.

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

x = 3750

Substitute this value of x into eq1.

y = 3750 - 1500

y = 2250

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0

3 years ago

If f(x)=2x+5 , determine the value of f(3x) .

makvit [3.9K]

Answer:

Step-by-step ef(x)=-2x+5……i

and f(-3x)=?

let x=-3x so that

-2x+5=-3x

x=5

substitutinx x into… i

f(x)=-10+5=-5

f(5)=-5………ii

now f(–3x)=f(-15)

scrutinizing… ii ,we can propose that

f(-15)=15.

Thus f(-3x)=15xplanation:

7 0

2 years ago

Read 2 more answers

Please help solve quick

RoseWind [281]

Answer:

see below

Step-by-step explanation:

3x^2 + 17x +10 =0

(3x+ ) ( x+ ) =0

We need to factor 10 = 2*5 or 1*10

They are positive since we have all positive terms

3*5 = 15+2 = 17

The 5 needs to multiply the 3 so it goes on the outside

(3x+ ) ( x+ 5 ) =0

That leaves the 2 on the inside

(3x+ 2 ) ( x+ 5 ) =0

Using the zero product property

3x+2 =0 x+5=0

3x = -2 x=-5

x = -2/3 x = -5

5 0

3 years ago

Explain which city is warmer.

Naddik [55]

Answer:

City P is warmer than City Q because -4 is closer to 0 than -8 is. when in the negatives and talking about temp. the number closer to 0 is always warmer than a number far away.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers