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KengaRu [80]
4 years ago
10

Please answer really need it

Mathematics
1 answer:
Darina [25.2K]4 years ago
6 0

Answer:

31200

Step-by-step explanation:

31.2*10^3

We know that 10^3 is 1 with 3 zeros = 1000

31.2 *1000

Multiplying by 1000 moves the decimal 3 places to the right

31200

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Lauren made the plan shown for proving that quadrilateral ABCD with
ch4aika [34]

Answer:


Step-by-step explanation:

It is given that the quadrilateral ABCD has AB ≅ CD and BC ≅ DA is a parallelogram, then in order to prove opposite angles of the parallelogram are equal, we take ΔABC and ΔADC,

AC=AC(Common)

AB=CD(given)

BC=AD(given)

Thus, by SSS rule, ΔABC ≅ ΔADC

By CPCT, ∠B=∠C

Also, from ΔABD and ΔBCD, we have

AB=CD(given)

BC=AD(given)

BD=BD(common)

Thus, by SSS rule, ΔABD ≅ ΔBCD

By CPCT, ∠A=∠C

Since, opposite angles are equal,therefore ABCD is a parallelogram.

Draw in diagonals AC and BD. The given information and the shared side AC along with the Reflexive Property can be used to prove ΔABC ≅ ΔADC by the SSS Congruence Postulate. Using CPCTC, ∠B=∠C.The same can be done for ΔABD ≅ ΔBCD using the given information and the shared side BD. This will lead to ∠A=∠C. Therefore, ABCD is a parallelogram because opposite angles are congruent.

3 0
3 years ago
What is the area of the figure on the coordinate plane below?
Alex787 [66]

Answer:

A 144units ^ 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A school flag consists of three rectangular sections that each have a different color.
Rasek [7]

Answer:

Area =\frac{10x + 15}{2} in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by 1\frac{1}{2}

Purple Section: Dimension: 3 by (x + 1\frac{1}{2})

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

Area = Length * Width

For the green section;

Area =  x * 2

Area = 2x

For the orange section

Area = 2  * 1\frac{1}{2}

Area = 3

For the purple section

Area = 3 * (x + 1\frac{1}{2})

Area = 3 * (x + \frac{3}{2})

Area = 3x + \frac{9}{2}

Total Area = Sum of the above areas

Area = 2x + 3 + 3x + \frac{9}{2}

Collect Like Terms

Area = 2x  + 3x+ 3 + \frac{9}{2}\\

Area = 5x+  \frac{6+9}{2}

Area = 5x+  \frac{15}{2}

Area =\frac{10x + 15}{2}

Solving (b): Area of the flag as a product

From the attachment,

Length = 2 + 3

Length = 5

Width = x + 1\frac{1}{2}

Area = Length * Width

Area = 5(x + 1\frac{1}{2})

Area = 5(x + \frac{3}{2})

Area = 5x + \frac{15}{2}

Take LCM

Area = \frac{10x + 15}{2}

8 0
3 years ago
A reindeer can run 96 miles in 3 hours at this rate how far can a reindeer run in 1hour explain
jekas [21]
This is how you do it: you put mile 96 over 3 and if u wanna know how many it will run in 1 hour. You cross multiply so you multiply 96 times1 and you get 96 but now you have to divide it by 3. If you do that you'll get the answer which is 32. There are other ways to do it but I just think it's way easier this way
6 0
3 years ago
Select all equations that represent this question:
faust18 [17]

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

6 0
2 years ago
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