Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the <u>exterior angle theorem</u> where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
The answer is kite.
Step-by-step explanation:
Well, just looking at the definition of a kite, we can see that it lines up with Mr. Tesoro's description and drawing of the quadrilateral. A kite has one right angle that meets up witht two equal lines. The opposite pair of lines, that are much longer, don't meet up to be a right angle. The definitions line up, so there's your match; the anser is kite.
Answer:
5 and 12
Step-by-step explanation:
The mode of a data set is the entry which occurs most often
Given
5, 10, 12, 4, 6, 11, 12, 5
5 and 12 both occur twice, thus there are 2 modes 5 and 12
Answer:
n>12
Step-by-step explanation:
