The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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Answer:
$1.20
Step-by-step explanation:
Given that:
Price paid to buy 5 bags of chips = $6
To find:
Price per bag of chips in two digits after the decimal.
Solution:
To find the price of each bag of chips, we need to divide the price of 5 bags of chips with 5.
i.e. we need to divide $6 with 5, then we will get the price of each bag of chips.

Therefore, the answer is:
Price of each bag of chips is <em>$1.2.</em>
Answer:
B
Step-by-step explanation:
Because you have to solve for the variable, making it algebraic.
Answer:
72 m\ p.h.
Step-by-step explanation:
we have 60 minute in one hour
we must divide 60 by 5=12
then 6*12=72!!!
it is very easy
Answer: The test statistic needed to test this claim= 10.92
Step-by-step explanation:
We know that the probability of giving birth to a boy : p= 0.5
i..e The population proportion of giving birth to a boy = 0.5
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed , so the hypothesis test is a right-tailed z-test.
Also, it is given that , the sample size : n= 291
Sample proportion: 
Test statistic :
, where n is sample size ,
is sample proportion and p is the population proportion.

i.e. the test statistic needed to test this claim= 10.92
Critical value ( one-tailed) for 0.01 significance level = 
Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .
[When test statistic value is greater than the critical value , then we reject the null hypothesis.]
Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.