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nadezda [96]
3 years ago
5

Two triangles have the same heights. One triangle has a base length that is twice the base length of the other triangle. Are the

base lengths and the areas of the two triangles proportional?
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

The formula for area of a triangle is A = (1/2)bh,

For the first triangle we can leave it in general terms, so it's area is

A = (1/2)bh, depending on what b and h are, but it doesn't matter here...

The second triangle has base that is twice the other triangles base.  Bases being multiples of each other is the definition of being proportional so the bases are proportional, an the area of the second triangle is

A = (1/2)(2b)h,   which simplifies to

   A = bh

Comparing the 2 areas, you can see that one has a multiplier of (1/2), so their areas are proportional

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3 years ago
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Triangle ABC is the pre-image and Triangle ADE is the image. What transformation took place?
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How many digits are written when 1000 to the power of 2015 is expressed as a numeral?
PtichkaEL [24]

Answer: There are 6046 digits will be written on expansion upto 2015th power.

Step-by-step explanation:

Since we have given that

1000^{2015}

We have to find the number of digits ,

So,

1000^{2015}\\\\=(10^3)^{2015}\\\\=10^{6045}

Since we know that

10^n\text{ has n+1 number of digits }

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10^{6045}\text{ has 6046 number of digits }

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6 0
3 years ago
4 algebra 1 questions if you know the answers please try to get me to understand
asambeis [7]

Distribute each term in one parenthesis to the other terms in the other parenthesis.

(x - 2) (2x + 3)

First, distribute x. When distributing, multiply

x(2x) = 2x²

x(3) = 3x

Next, distribute the other term, -2. Remember to change the signs.

-2(2x) = -4x

-2(3) = -6

-------------------------------------------------------------------------------------------------------------------

2x² + 3x - 4x - 6

Combine like terms

3x - 4x = -x

2x² - x - 6

-------------------------------------------------------------------------------------------------------------------

2x² - x - 6 is your answer

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3 years ago
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Please help me i need to solve for RS
Sonbull [250]

Answer:

<h2>         RS = 47</h2>

Step-by-step explanation:

RV=VU and SW=WT    ⇒    VW=\dfrac{RS+UT}{2}

So:

3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47

5 0
3 years ago
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