Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,
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From the explanation, we can understand that,
Sum of the linear pair = 180°
< FAE + < FAB = 180°
4x° + 2x° = 180°
6x° = 180°
x° = 180 ÷ 6
x = <u>3</u><u>0</u><u>°</u><u>.</u>
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- The value of x will be<em><u> 30°</u></em> (3rd option).
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<u>NOTE</u> : Here, the lesser than symbol ( < ) stands for 'angle'.
Answer:
The probability is 3/95
Step-by-step explanation:
Okay this is a probability without replacement question.
Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins
The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5
Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19
Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes
= 1/5 * 3/19 = 3/95
Using a system of equations, it is found that Gina got 22 questions correct in the test.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of questions she got correct.
- Variable y: Number of questions she got wrong.
The test has 30 questions, hence:
x + y = 30 -> y = 30 - x.
She scored 152 points, hence, considering the value of each question:
8x - 3y = 152.
Since y = 30 - x:
8x - 3(30 - x) = 152
11x = 242
x = 242/11
x = 22
Gina got 22 questions correct in the test.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
y=2x+3
Step-by-step explanation:
The slope-intercept form of the equation of a line is y = mx + b,where m = slope.
Hope this helps...
