Answer = 121°
Parallelograms’ angles are all equal. So the two given are equal.
6x + 13 = 7x - 5
x = 18
Plug x back into one of the original angles
6(18) + 13 = 121
Now we know all the angles are 121°, so that’s the answer
Answer:
<u>The three true options are B, C and E.</u>
Step-by-step explanation:
Let's simplify the expression that represent the score of Javier in a game of mini-golf:
3x + x + 5 – 2x
2x + 5
Which statements are true about the parts of the simplified expression? Select three options.
A. The constant is 2.
It's false. The constant is 5.
B. The coefficient is 2.
It's true. The coefficient of x is 2.
C. The constant is 5.
It's true.
D. The coefficient is 5.
It's false. 5 is the constant and the coefficient of x is 2.
E. There are two terms.
It's true. The two terms are 2x and 5.
<u>The three true options are B, C and E.</u>
Answer:
t= 0.4933
t ≥ t ( 0.025 ,8 ) = 2.306
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: ud= 0 Ha: ud≠0
The significance level is set at ∝= 0.05
The test statistic under H0 is
t= d`/ sd/√n
which has t distribution with n-1 degrees of freedom
The critical region is t ≥ t ( 0.025 ,8 ) = 2.306
Computations
Student Scores before Scores after Difference d²
reading book ( after minus before)
1 720 740 20 400
2 860 860 0 0
3 850 840 -10 100
4 880 920 40 1600
5 860 890 30 900
6 710 720 10 100
7 850 840 -10 100
8 1200 1240 40 1600
<u>9 950 970 20 40</u>
<u>∑ 6930 8020 140 4840</u>
d`= ∑d/n= 140/9= 15.566
sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775
sd= 18.2422
t= 3/ 18.2422/ √9
t= 0.4933
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Answer:
Step-by-step explanation:
Given a function:
To find:
Function 
whose graph is a reflection in the y -axis for the given function = ?
Solution:
First of all, let us learn about the reflection of a point (
) in y axis.
For example, let us consider a point (3, 2) on the coordinate axis.
The reflection of this point in y axis will be (-3, 2)
OR
In other words, <em>To find the image of a point in y axis</em>:
the x coordinate is made of negative sign and y coordinate remains the same.
A line is nothing but a number of points joined together.
So, if we want to find reflection of a line or linear function in y axis, we just make the sign of x as negative.
Given that
We can write it as:
To find its reflection:
Please refer to the attached graphs of 
and 
.
So, the answer is:
Answer:
X=11
Step-by-step explanation:
