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Annette [7]
3 years ago
15

What goes in each box

Mathematics
2 answers:
just olya [345]3 years ago
8 0
Shapes goes inside those boxes
kolezko [41]3 years ago
4 0
The shapes goes in each box
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What is the square root of -1?
suter [353]

Answer:

i

Step-by-step explanation:

Why is i the square root of negative one?

The term "imaginary" is used because there is no real number having a negative square. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero, which has one double square root.

6 0
4 years ago
In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of
Anna11 [10]
A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
8 0
3 years ago
An equilateral triangle LMQ is drawn
Bogdan [553]

The measure of the ∠LQP is 120°

Step-by-step explanation:

The diagram of the question is as attached in the image.

LMNP is a square. We know that for a square all sides are equal and intersects at 90°

Hence, LM=MP=PN=LN

and ∠LMP= ∠MPN= ∠PNL= ∠NLM= 90°

Δ LMQ is an equilateral triangle

We know that for equilateral triangle all sides are equal and all angles are 60°

LM=LQ=QM=MP=PN=LN and

∠LQM= ∠QML= ∠MLQ= 60°

∠LQP= ∠LQM+ ∠MQP   eq 1

In Δ MPQ

∠QPM=90° and ∠PMQ= 90°-60°=30°

Hence, ∠MQP= 180°-(90°+30°)=60°

Putting the value of ∠MQP and ∠LQM in equation 1

∠LQP= 60°+60°= 120°

Thus the measure of ∠LQP=120°

5 0
4 years ago
What is the volume of the triangular prism
Softa [21]

Find the area of the triangle, then multiply that by the depth of the prism.

Area of triangle = 1/2 x base x height = 1/2 x 14 x 16 = 112

Volume = 112 x 32= 3584 ft^3

3 0
3 years ago
If triangle ABC ~ triangle DEC, find AC.
Hatshy [7]
Answer:
12.5 units

Explanation:
We are given that:
ΔABC ~ ΔDEC
This means that the similarity proportion can be set up as follows:
AB/DE = BC/EC / AC/DC

We have:
CD = 5 units
BC = 6 + 4 = 10 units
EC = 4 units

This means that:
BC/EC = AC/DC
10/4 = AC / 5

Therefore,
AC = (5*10) / (4) = 12.5 units

Hope this helps :)

7 0
3 years ago
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