Answer:
2. 16
3. 46
4. 59
Step-by-step explanation:
5.The measure of smaller angle is 87 degrees.
Step-by-step explanation:
Consider the provided information.
The provided angles are 3x degree and 2x + 25 degree.
Two angles are said to be Supplementary angles if their sum is 180 degree.
It is given that the provided angle are supplementary angles, thus
3x + 2x + 25 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
Now, substitute the value of x in first angle i.e 3x.
3(31) = 93
Substitute the value of x in the second angle i.e 2x + 25
2(31) + 25 = 62 + 25 = 87
Hence, the measure of smaller angle is 87 degrees.
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
6x + 10y = 8 ( subtract 6x from both sides )
10y = - 6x + 8 ( divide each term by 10 )
y = - 
x + 
= - 
x 6 + 
← in slope- intercept form
with slope m = - → C
The aswer is A hop it helps
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
Hello!
The mode is the number that appears the most in the data set. In our data set, both 27 and 36 are seen twice, which is more than any other number in the set. Therefore our answer is A) 27 and 36.
I hope this helps!
