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fomenos
3 years ago
15

What's -2 3/4 × -1/5 ?

Mathematics
1 answer:
Maslowich3 years ago
6 0
The answer to this question is:-2.15
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In the rectangle below, E1=2x -2, FH=3x+6, and m 4IHG =35°.Find Gl and m LIEH
Tpy6a [65]

Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

\begin{gathered} FH=2EI, \\ GI=EI. \end{gathered}

Substituting the given expression for each segment in the first equation, we get:

3x+6=2(2x-2).

Solving the above equation for x, we get:

\begin{gathered} 3x+6=4x-4, \\ 3x+6+4=4x, \\ 3x+10=4x, \\ 4x-3x=10, \\ x=10. \end{gathered}

Substituting x=10 in the equation for segment EI, we get:

EI=2*10-2=20-2=18.

Therefore:

GI=18.

Now, to determine the measure of angle IEH, we notice that:

\Delta HFG\cong\Delta GEH,

therefore,

\measuredangle GHF\cong\measuredangle HGE.

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

m\measuredangle IEH=90^{\circ}-35^{\circ}=55^{\circ}.

<h2>Answer: </h2>\begin{gathered} m\operatorname{\measuredangle}IEH=55^{\operatorname{\circ}}, \\ GI=18. \\  \end{gathered}

4 0
1 year ago
1. The heights of two right prisms
RoseWind [281]

Answer:

They are not similar

Step-by-step explanation:

To determine whether the prism are similar we need to calculate their volumes

Volume of a prism = Base Area * Height

Volume of the first prism = 18ft *8 * 8ft

Volume of the first prism = 1152ft^2

Volume of the second prism = 30t * 15 * 15ft

Volume of the second prism = 6,750ft^2

Since the volumes are different, the prism are not similar.

3 0
3 years ago
Solve for x: 3x+6&gt;-15 x=?
kati45 [8]

Answer:

x>-7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the name for an 8-sided polygon
Mazyrski [523]

An 8 sided polygon is, an Octagon

8 0
2 years ago
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What is the next term in the pattern? 0.2, 0.22, 0.222, . . .
quester [9]
It would be 0.2222 so it's your answer
5 0
3 years ago
Read 2 more answers
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