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melisa1 [442]
3 years ago
11

“If a quadrilateral is a parallelogram, then it is a square”

Mathematics
1 answer:
yuradex [85]3 years ago
6 0
Yes that is true, all opposite sides would be parallel, and all the corners are 90 degrees, then yes it is true
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if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val
Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by P(1+\frac{r}{n})^{nt}

Thus, we have,

Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+\frac{0.05}{12})^{12\times 10}

i.e. Investment Value = 5000(1+0.00417)^{120}

i.e. Investment Value = 5000\times 1.648

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0
3 years ago
In the following figure, JL is tangent to circle o at point K.
mixer [17]

Answer:

B

Step-by-step explanation:

the angle formed by radius and tangent are right angles

6 0
3 years ago
a. What is the area and circumference of circle P? Explain how you calculated this answer. b. If the arc measure of arc COD is 1
Vikki [24]

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r  , where r is the circle's  radius

So C=2*4.5*π=9*π= approx   3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD),  where arcBC and arcAD smaller arcs

BD is the circle's  diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

5 0
3 years ago
A bin contains 10 cards labeled A to J and 20 cards labeled 1 to 20. The cards are shuffled and one card is chosen at random. Wh
Fudgin [204]
So you ave a 3 out of 10 chance to get a letter in eh word DIG then you have a 1 in 2 chance of drawing an odd number add those together.

13 out of 30 chance

Simplify if necessary, hope this helps
7 0
3 years ago
1. In the figure, m DE=124, and M BC=36. The diagram is not drawn to scale. What is m A? A) 44* B) 62* C) 80* D) 88*
kiruha [24]
Like angles and side lengths
6 0
2 years ago
Read 2 more answers
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