Answer:
See below
Step-by-step explanation:
2......................
∠PQR and ∠RQS are supplementary, which add up 180°
- ∠PQR = 3x - 5
- ∠RQS = x + 1
<u>Sum:</u>
- 3x - 5 + x + 1 = 180
- 4x - 4 = 180
- 4x = 184
- x = 46°
3......................
- ∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°
4......................
From the picture and the value of x we got above:
- ∠RQS = x + 1 = 46 + 1= 47°
QT bisects ∠RQS and we get two equal angles
<u>Each will measure:</u>
5......................
LM = 5, LN = 17, MN = ?
<u>If L is between M and N, then</u>
- MN = LM + LN = 5 + 17 = 22
<u>M is between L and N, then</u>
- MN = LN - LM = 17 - 5 = 12
5......................
<u>Ray BD bisects ∠ABC, then formed angles are equal:</u>
- m∠DBC = x + 6
- m∠ABD = 2x - 12
m∠DBC = m∠ABD
- x + 6 = 2x - 12
- 2x - x =6 + 12
- x = 18°
Answer:
r<0
Step-by-step explanation:
The exponential function
is
- a decay function, if

- an increase function, if

Thus, for the exponential function to be the exponential decay function the following must hold

Answer:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
Answer:
y=2/3x−4
Step-by-step explanation: