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4 years ago

In parallelogram ABCD, m<ABD=83, m<BDA=34, and m<BCD=__

Mathematics

2 answers:

netineya [11]4 years ago

6 0

The measurement of angle BCD is 63 degrees. If you want to know how I got the answer I did, feel free to ask.

Kryger [21]4 years ago

4 0

Answer:

∠BCD=63°

Step-by-step explanation:

Given:In parallelogram ABCD, ∠ABD=83° and ∠BDA=34°.

To find: Value of ∠BCD

Solution: It is given that ABCD is a parallelogram, thus using the alternate angle property, we have

∠BDA=∠DBC=34°

Therefore, ∠ABC=∠ABD+∠DBC=83+34=117°

Now, ∠ABC+∠BCD=180° (corresponding angles)

⇒∠BCD=180-117

⇒∠BCD=63°

Thus, the measure of the angle BCD is 63°.

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Which gives 28 + 24 as a product of the GCF and a sum?

VashaNatasha [74]

Answer:

b. 4 (7 + 6)

Step-by-step explanation:

Finding the GCF between 28 and 24:

We keep dividing while both numbers can be divided by the same factor. So

28 - 24|2

14 - 12|2

7 - 6

There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.

Simplifying in function of the GCF:

Now, we put 4 in evidence, and divide the rest of the expression by 4. So

$28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)$

The answer is given by option b.

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3 years ago

Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, w

Zina [86]

Answer:

FV= $70,887.15

Step-by-step explanation:

First, we need to calculate the future value of the $130 deposit for 5 years:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit= $130

i= 0.08/12= 0.0067

n= 5*12= 60 months

FV= {130*[(1.0067^60) - 1]} / 0.0067

FV= $9,561.96

Now, using the following formula, the future value of the investment after 25 years:

FV= PV*(1 + i)^n

n= 25*12= 300

FV= 9,561.96*(1.0067^300)

FV= $70,887.15

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3 years ago

HELP! DUE IN AN HOUR! SO CONFUED!! SOMEONE HELP EXPLAIN THIS TO ME!!!!

Nataliya [291]

Answer:

No triangles are possible.

Step-by-step explanation:

Given:

m∠A = 18°
side c = 19 in
side a = 4 in

In a triangle ABC:

A, B and C are the interior angles.
a, b and c are the sides opposite the corresponding interior angles.

The interior angles of a triangle sum to 180°.

Given m∠A = 18°, the sum of angles B and C is:

⇒ m∠B + m∠C = 180° - 18° = 162°

As there is no answer option where the sum of angles B and C equals 162°, no triangles are possible from the given answer options.

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1 year ago

Name the type of polynomial indicating the

lutik1710 [3]

first off, bear in mind that the terms are usually separated by a + or a - sign.

secondly, the degree of a term of a polynomial comes from the sum of its variables' exponents.

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3 years ago

Noelle is drawing fraction bars to model the sum of One-fifth and Three-fourths. What is the smallest number of equally sized pi

krek1111 [17]

Answer:

Step-by-step explanation:

I took the test

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3 years ago