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Allushta [10]
3 years ago
13

If DE=4x-1,EF=9,and DF=9x-22, find the variable of x

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Given:\\\overline{DE}=4X-1\\\overline{EF}=9\\\overline{DF}=9x-22\\\\\overline{DF} \; is \; a \; line \; segment,  \; E \; is  \; a \; point \; in  \; between.\\\\So,\; \overline{DE}+\overline{EF}=\overline{DF}\\4x-1+9=9x-22\\Subtract \; 9x \; on \; both \; sides\\\\4x-9x-1+9=9x-9x-22\\Combine \; like \; terms \; on \; both \; sides\\\\-5x+8=-22\\Subtract \; 8 \; on \; both \; sides\\\\-5x+8-8=-22-8\\-5x=-30\\Divide \; -5 \; on \; both \; sides\\\\\frac{-5x}{-5}=\frac{-30}{-5}\\x=6

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Find the surface area of the pyramid shown to the nearest whole number.
Snezhnost [94]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Surface area of a pyramid =

area of base + area of triangular faces

Since it's a square based pyramid

It's surface area is

area of base + 4( area of one triangular face)

Since the square has equal sides

<u>For square base </u>

Area of a square = l²

where l is the length

From the question l = 5

So we have

Area of square base = 5² = 25ft²

<u>For one of the triangular face</u>

Area of a triangle = ½ × base × height

base = 5

height = 6

Area = ½ × 5 × 6 = 15ft²

So the surface area of the pyramid is

25 + 4(15)

= 25 + 60

We have the final answer as

<h3>Surface area = 85 ft²</h3>

Hope this helps you

7 0
2 years ago
Three friends go to the local farmers marketing. Ashley spends $8.25. Natalie spends 4 times as much as Ashley. Patrick spends $
xenn [34]

Patrick spends $42.50

$8.25 x 4 = $33

$33 + 9.50 =

$42.50

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2 years ago
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Answer:

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3 years ago
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Solve for x. Leave your answer in simplest radical form
alexandr1967 [171]

Answer:

x = 2√7

using Pythagoras theorem:

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  • ?² = 81 - 49
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For the bottom part:

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