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tigry1 [53]
1 year ago
12

Find the measure of the three missing angles in the parallelogram below.

Mathematics
1 answer:
TEA [102]1 year ago
3 0

Answer:

x= 67, y= 113 , z= 67........... ...........

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Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the sma
Alexus [3.1K]
ANSWER

The smaller angle is

y = 36 \degree



.EXPLANATION

Let the angles be
x \:  and \:  \: y

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.


This implies that,

x + y = 180 \degree...(1)


If one angle is 4 times the other, we can then write the following equation,

x = 4y...(2)


We put equation (2) into equation (1) to get,



4y + y = 180 \degree


5y = 180 \degree


We divide through by 5 to obtain,

y = 36 \degree


This implies that,

x = 4(36)


x = 144 \degree
3 0
3 years ago
The population of a town increased from 3650 in 2012 to 4700 in 2014. Find the absolute increase.
aev [14]
Treat this like a slope formula. Y2-y1 divided by x2-x1.
Your y2 value is the second population
Y1= value of first population.
X2= second year they give
X1= first year they give.
4700-3650
_________
2014-2012

1050
____
2

525 is the increase a year
8 0
3 years ago
A rectangular prism has a volume of 1376 cubic inches. The prism is 10 inches wide and 18 inches long. What is the height of the
Vladimir79 [104]

\huge\boxed{ \mathcal{\longmapsto Answer࿐}}

we know,

\boxed{volume = l \times w \times h}

\longmapsto1376 = 18 \times 10 \times h

\longmapsto h =  \dfrac{1376}{180}

\longmapsto h = 7.64 \:   \: inches

3 0
2 years ago
The instructions on your aspirin bottle say take two 200-milligram aspirin. How many grams is the total dose?
REY [17]

Answer:

[see below]

Step-by-step explanation:

There are 0.001 grams in a milligram. (1,000 milligrams in a gram.)

\frac{200}{1000}=0.2

The total dose should be 0.2 grams.

Hope this helps.

7 0
2 years ago
It is estimated that 91% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 6% of seniors suff
Fofino [41]

The probability of senior citizens suffer from sleep disorders is

P(A)=0.91

The probability of senior citizens suffer from anxiety is,0.09.

P(B)=0.09

The probability of seniors suffer from both sleep disorders and anxiety is,

P(A\cap B)=0.06

a. The probability that a senior citizen suffers from anxiety, given that he or she has a

sleep disorder.

P(A|B)=\frac{P(A\cap B)}{P(B)}P(A|B)=\frac{0.06}{0.09}P(A|B)=0.67

8 0
1 year ago
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