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Helen [10]
3 years ago
8

30 POINTS, Im pretty hopeless at this point and i know someone is just gonna rob the points thanks anyways

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

\dfrac{ah}{a+h}

Step-by-step explanation:

Consider similar triangles BMC and KMN.

In these triangles,

\dfrac{BC}{KN}=\dfrac{MO}{MP},

where O is the point of intersection of BC and MP.

Note that segment OP has the length the same as the side of the square ABCD. Hence,

\dfrac{BC}{a}=\dfrac{h-BC}{h},\\ \\BC\cdot h=a(h-BC),\\ \\BCh=ah-aBC,\\ \\BC(h+a)=ah,\\ \\BC=\dfrac{ah}{a+h}.

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BigorU [14]

The congruence of the angles and triangles are proven as follows;

a. The composition angles of FGH are alternate interior angles to the composition angles of angle AHEF

b. The three sides of triangle ∆EHG are congruent to the three sides of triangle ∆GFE, therefore, triangles ∆EHG and ∆GFE are congruent by SSS congruency rule

<h3>What are congruent triangles?</h3>

The lengths of the three sides of triangles that are congruent.

a. The shape of quadrilateral EFGH = A parallelogram

The measure of angle HEF = 90°

Angle HEF = 90°

Angle HEF = Angle HED + Angle DEF

Angle HED is congruent to angle FGD (Alternate interior angles theorem)

Angle HED = angle FGD

Angle DEF is congruent to angle DGH (Alternate interior angles theorem)

Angle DEF = angle DGH

Angle FGH = Angle FGD + Angle DGH

Angle FGH = Angle HED + Angle DEF (Substitution property)

Angle FGH = Angle HEF (Transitive property)

Angle FGH = Angle HEF = 90°

Therefore, the statement that will help prove angle FGH is also a right is that angle FGH is the sum of angles FGD and angle DGH which are alternate interior angles to angles HED and DEF which makes up angle HEF, which is a right angle.

b. The two-column method can be used to prove that triangle EHG and triangle GFE are congruent as follows;

Statement. Reason

EF is congruent to HG. Opposite sides of a parallelogram are congruent

EH is congruent FG Opposite sides of a parallelogram are congruent

EG is congruent to EG Reflexive property of congruency

∆EHG is cong. to ∆GFE SSS, Side-Side-Side, congruency rule

Learn more about the triangle congruency rules here:

brainly.com/question/15338506

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4 0
1 year ago
Help Me plz!
siniylev [52]

Answer:

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Step-by-step explanation:

V=LWH

V=21 x 11 x 15 (the height of the water)

V= 3465


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Answer:

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