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Ann [662]
4 years ago
6

ABCD is a parallelogram.

Mathematics
2 answers:
andrew-mc [135]4 years ago
4 0
ABCD is a parallelogram

m<A = m<C = 63
so  x = 63

z = 72

360 - 2(72) - 2(63) = 90

y = 90/2 = 45

answer
x = 63
y = 45
z = 72
AlexFokin [52]4 years ago
3 0
m\angle x=63^o\\\\m\angle z=72^o\\\\m\angle y=180^o-(72^o+63^o)=180^o-135^o=45^o
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What is the annual interest rate if $1600 is invested for 6 years and $456 in interest is earned
sergij07 [2.7K]
Use the formula   i = p*r*t:
                                                               $456
$456 = $1600*r*6.  Solving for r, r = ----------------- = 0.0475, or 4 3/4%
                                                           ($1600)(6)
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4 years ago
For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 stri
USPshnik [31]

Answer: 219.8 meters

Step-by-step explanation:

Since his stride measures 1.4 meters and the length of the field is 157 strides, then the length of the stride in meters is 157*1.4 meters.

= 219.8 meters

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3 years ago
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3 years ago
Choose the property used to rewrite the expression.
Alex73 [517]

The property used to rewrite the given expression is product property.

Answer: Option A

<u>Step-by-step explanation:</u>

Given equation:

                          \log _{2} 10+\log _{2} 4=\log _{2} 40

The sum of the two logarithms of two quantities (on the same basis) corresponds to the logarithm of their product on the same basis. The product log is equal to the log’s sum of the factors.

                                \log _{b}(x \times y)=\log _{b} x+\log _{b} y

There are several rules that you can use to solve logarithmic equations. One of these guidelines is the logarithmic products rule that you can use to differentiate complex protocols in different ways. Different values that can be valuable are the quota principle and the logarithm rule. The logarithmic products rule is essential and is regularly used in analysis to control logs and simplify baseline conditions.

4 0
3 years ago
Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
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