Answer:
23°
Step-by-step explanation:
The total of the angles in a triangle add up to 180°.
Our equation here is 62 + 95 + z = 180
Lets find what 62 + 95 is: 62 + 95 = 157
Then we can find the remainder (157 + x = 180). 180 - 157 = 23°
Therefore the missing angle (z) is 23°
Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
Answer:
A, D , and E
Step-by-step explanation:
We have that:
is the image of CD after a dilation of scale factor n.
We use the relation between the image length and object length:
Option A
If n=3/2, then
This is true.
Option B
If n=4, then
This is false.
Option C
If n=8, then
This too is false.
Option D
If n=2, then
This is true
Option E
If n=3/4, then
This is also true.
14 is .608, roundedto the nearest percent 14 is 61% of 23
