Answer:
5. TS ≅ ML
6. ∠N≅∠U
9. m∠P = 80°
10. QR = 3
Step-by-step explanation:
The congruent symbol ≅ indicates that the two shapes have the same angle and side lengths.
5. TS are the third and second letter in RSTUV. The third and second letters in KLMNO are ML. TS ≅ ML
6. N is the fourth letter in KLMNO. The fourth letter is RSTUV is U. ∠N≅∠U
9. ∠P is congruent to ∠W. Notice they are both on the longer side and the wider angle. Since m∠P ≅ m∠W, and m∠W = 80°, then m∠P = 80°
10. QR is congruent to XY. They are both the shortest sides of the shape. QR ≅ XY and XY = 3, then QR = 3
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:
w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)
What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).
Hence, the width is (x-5).
Answer:
17,18
Step-by-step explanation:
let the smaller integer be "a" and the larger be "b"
Then 2b = 3a -15 ........................equ 1
but they are consecutive integers, b= a+1 ; substitute b into equ 1,thus,
2(a+1) = 3a - 15
2a + 2 = 3a-15
collect like terms,
2+15 =3a-2a
17 = a
b= a+1
b = 17+1
b=18.
The integers are 17,18
