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soldi70 [24.7K]
2 years ago
5

Pleasee help me answer this geometry question !!

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

since it is a square:

8x+13 = 12x-3

reduce:

4x = 16

x = 4

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A container holds 84 cups of water. How much is this in gallons
kap26 [50]
5.25 gallons is your answer
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Is it possible that for every right triangle, it has two complementary angles?
Montano1993 [528]
Yes, every right triangle has two complementary angles.

This is because you know that the interior angles of a triangle have to add up to 180 degrees.

A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.

Two angles whose sum is 90 degrees are complementary.
3 0
3 years ago
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
Vladimir79 [104]

Given


Sofia cuts a piece in the shape of a kite for an art project  

top two sides measure 20 cm each  

bottom two sides measure 13 cm each.  

One diagonal, EG, measures 24 cm


Find out the length of the other diagonal, DF.


To proof  

As given in the question and also shown in the diagram shown below


DE = EF = 20cm


DG = GF = 13cm


EG = 24cm


DF = ?


In kite shape


One diagonal is the perpendicular bisector of the other diagonal.


i.e EG is the perpendicular bisector of DF


i.e EG is divided into two equal parts


thus EA = AG = 12cm


in Δ EAF


By applying the pythagorus theorem


we have


EF² = FA²+ EA²


20² = 12² + FA²


400 -144 = FA²


256 =FA²


\sqrt{256} =FA


16cm = FA


Now in Δ DAG


DG² = AG² + DA²


13² = 12 ²+ DA²


169 -144 = DA²


25 = DA²


\sqrt{25} =DA


5cm = DA


Thus diagonal DF = DA + FA


= 5 + 16


= 21cm


Hence proved




8 0
2 years ago
Read 2 more answers
What is m∠ABC? Justify your reasoning. Using the addition property of equality, 40 + 15 = 55, so m∠ABC = 55°. Using the subtract
N76 [4]

Answer:

Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.

Step-by-step explanation:

The  Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.

If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts

m∠ABC = m∠ABD + m∠DBC.

Using the Angle Addition Postulate:

m∠ABC = m∠ABD + m∠DBC

m∠ABC = 15 + 40 = 55°

m∠ABC = 55°

8 0
3 years ago
The reservoir dropped 6 feet during a long dry spell and then rose 4, feet following
vitfil [10]

Answer:

Its c

Step-by-step explanation:

6 0
3 years ago
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