Answer:
Crafts books: 7
Cookbooks: 13
Step-by-step explanation:
Let x be the crafts book
Let y be the cookbooks
Solve for x:
- Plug x and y in: x + y = 20
- Re-write: y = x + 6
- Plug in x + 6 instead of y: x + x + 6 = 20
- Combine like terms: 2x + 6 = 20
- Subtract 6 from each side, so it now looks like this: 2x = 14
- Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7
Solve for y:
- Re-use an equation from above: y = x + 6
- Plug in the value of x: y = 7 + 6
- 7 + 6 = 13
- So, y = 13
I hope this helps!
Answer:
Step-by-step explanation:
Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
you can use long division to do this:-
a + 3 ) a^2 + 2a + 3
= a - 1 remainder 6 or you can write it as a - 1 + 6 / (a + 3)
Answer:
x = 10°; Angle A = 84°
Step-by-step explanation:
Angle A + Angle B = 180
5x + 34 + 2x + 76 = 180
7x + 110 = 180
7x = 70
x = 10
Angle A: 5(10) + 34 = 50 + 34 = 84°
