Answer:
1)107
2)43
Step-by-step explanation:
Triangles interior angles add up to 180 degrees. In the first one, the first two angles are 31and 42, and if interior angles add up to 180, the equation should be 31+42+x=180 x=107.
Second one is hardes. A square means a right angle, or 90 degrees. 180-90 is 90. Next, we have the two angles x, and x+4 We know that triangles interior angles add up to 180 degrees, so x+x+4+90=180 2x+94=180 2x=86 x=43
Hope this helps :D Please mark brainliest if correct :D
Answer:
See explanation
Step-by-step explanation:
Q11. Statement Reason
1.
bisects
Given
2.
Definition of angle bisector
3.
Reflexive property
4.
bisects
Given
5.
Definition of angle bisector
6.
ASA postulate
Q13.
1. Consider triangles ACB and DCE. In these triangles,
- given;
- given;
- as vertical angles (by vertical angles theorem)
Hence, triangles ACB and DCE are congruent by SAS postulate.
2. congruent triangles have congruent corresponding sides, so

Answer:The roots are:

and
Explanation:First, we will need to expand the bracket on the left and then put teh equation i standard form which is:
ax² + bx + c = 0
This can be done as follows:
(x+5)² = 10
(x)² + 2(x)(5) + (5)² = 10
x² + 10x + 25 - 10 = 0
x² + 10x + 15 = 0
By comparison, we can find that:
a = 1
b = 10
c = 15
Now to get the roots, we would need to use the quadratic formula shown in the attached image.
By substitution, we would find that:
either x =

or x =

Hope this helps :)
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
It is either A. or C.
Step-by-step explanation: