Answer:
45 degrees
Step-by-step explanation:
Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.
So now, we do 180 - 90 = 90 this is the sum of the other angles.
We shall assume that they are the same and divide 90/2 = 45 degrees each
Ok here are some things to understand while solving!
- If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
- Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)
Hope this helped!
Study hard!
Answer: I believe it’s 8
Step-by-step explanation:
It’s 13 minus 5
Answer:
5 is their common denominator
Step-by-step explanation:
A common denominator is when both denominators are the same.
Answer:
54.2 mph
Step-by-step explanation:
Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...
70² = c² +(c -10)²
4900 = 2c² -20c +100 . . . . eliminate parentheses
c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form
(c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form
c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical
c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution
Cynthia's average speed was 54.2 miles per hour.
Answer:
4x - 3y = 36
Step-by-step explanation:
2/3x - 1/2y = 6
Multiply each side by 6 to get rid of the fractions
6* (2/3x - 1/2y) = 6*6
Distribute the 6
12/3 x - 6/2y = 36
4x -3y = 36
