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DENIUS [597]
3 years ago
10

Find EF in the trapezoid.

Mathematics
1 answer:
love history [14]3 years ago
4 0
So hmmm   if you notice the tickmarks, the left-side is split in halves, and the right-side is also split in halves, that makes EF the midsegment of the trapezoid

thus  \bf \textit{midsegment of a trapezoid}\\\\
m=\cfrac{base1+base2}{2}\qquad 
\begin{cases}
base1, base2=\textit{parallel sides}\\
----------\\
base1=x+8\\
base2=58\\
m=6x
\end{cases}
\\\\\\
6x=\cfrac{(x+8)+(58)}{2}\implies 6x=\cfrac{x+8+58}{2}\implies 12x=x+66

and surely you know how much that is
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9. Select the proper inverse operation to check the answer to 14 + 17 = 31.
lana66690 [7]
I think the answer is A
8 0
3 years ago
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r
aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0
3 years ago
sara travels twice as far as Eli when going to camp. Ashley travels as far as Sara and Eli together. Hazel travels 3 times as fa
Genrish500 [490]
Let's represent how far Eli travels as x.
Sara travels twice as far as that, so 2x.
Ashley travels as far as Eli and Sara combined. x + 2x = 3x.
Hazel travels 3× as far as Sara, and 3×2x = 6x.

All of these add up to 888.
x + 2x + 3x + 6x = 888
Let's add up these like terms.
12x = 888
We can then divide each side by 12...
x = 74

Therefore, Eli traveled 74 miles!
We can use this value to figure out everyone else's distances as well.
Sara = 2 × 74 = 148
Ashley = 3 × 74 = 222
Hazel = 6 × 74 = 444
8 0
3 years ago
Read 2 more answers
Danny is measuring rainfalll.For a.Science project in september 7/8 inch of rain fell in october 2 1/4 invhes of rain fell how m
horsena [70]

Answer: 1\dfrac{3}{8}\ \text{inch}

Step-by-step explanation:

Given

Rainfall in September is \frac{7}{8} inch

Rainfall in October is 2\frac{1}{4} inch

Convert mixed fraction into fraction

\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}

Difference between the two gives that how much more rain fall in October compared to September

\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}

3 0
3 years ago
What is the exact volume of the cone, height is 16ft and the radius is 5 ft.
dedylja [7]
V=<span><span>π <span>r^2</span></span><span>h/<span>3

V = </span></span></span>π r 5^2 16/3

Raise 5<span> to the </span>power<span> of </span>2<span> to get </span><span>25.
</span><span>V=π*25*<span>16/3

</span></span>Move 25<span> to the left of the </span>expression <span><span>π⋅25</span>.
</span><span>V=25*π*<span>16/3

</span></span>Multiply 25<span> by </span>π<span> to get </span><span><span>25π</span>.
</span><span>V=25π*<span>16/3
</span></span>
Multiply <span>25π</span><span> by </span><span>163</span><span> to get </span><span><span>25π(<span>16/3</span>)</span>.
</span><span>V=25π(<span>16/3</span>)</span>

Simplify

Multiply 16<span> by </span>25<span> to get </span><span>400.</span> 
<span>V=(<span>400/3</span>)π</span><span> 
</span>
Combine <span>400/3</span><span> and </span><span>π/1</span><span> to get </span><span><span><span>400π/</span>3</span>.
</span><span>

V=<span><span>400π/</span>3</span></span> 
V≈<span>418.8790</span>


4 0
3 years ago
Read 2 more answers
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