Answer:
x=9
Step-by-step explanation:
Corresponding angles are equal
7x - 3 = 60
+3
7x. = 63
÷7
x = 9
Check:
7x9 - 3 = 60
Hope this helps!
Answer: 16y² - x²
Step-by-step explanation: The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)
10 is not a square so that one is eliminated (though the y² and the 4x² are squares)
16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.
Answer:
-7.90
Step-by-step explanation:
Let's write the null hypothesis (H0) and alternative hypothesis (Ha) from the claim statement
P = population proportion of adults who would erase all of their personal information online if they could
H_{0}:P=0.5
H1 P< 0.5
Let's write the given information:
n = sample size = 480
sample proportion = 
formula of z test statistic for one sample proportion test is as follows:

plug the above values in the above formula we get

So that the test statistic value is -7.90 (Rounded up to two decimal places)
Answer:
The line segments are equal in length
AC = BC = 5
Step-by-step explanation:
Given:
In the circle,
and
.
To find:
The following measures:
(a) 
(b) 
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.




In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[Opposite angles of a cyclic quadrilateral]
Now,
[Opposite angles of a cyclic quadrilateral]
Therefore,
and
.