Answer:
Step-by-step explanation:
Consecutive integers just means like one after another.
This means that:
First number = x
Second number = x + 1
Third number = x + 2
They've told us that the sum of 3 consecutive integers is 78.
First number + second number + third number = 78
Sub the equations we wrote into the formula above and we get:
x + x + 1 + x + 2 = 78
Gather the like terms.
3x + 3 = 78
Subtract 3 from both sides.
3x = 78-3 = 75
Divide both sides by 3 to solve for x.
x = 75/3 = 25
If you look at the very beginning we said that the first number = x.
Therefore it is 25.
Second number = x + 1 = 26
Third number = x + 2 = 27
Answer:
- Q3. 12 units
- Q4. 6.33 units
- Q5. 66.19°
Step-by-step explanation:
Q3
DE and DF are legs and EF is hypotenuse
- DE = √EF² - DF²
- DE = √13² - 5² = √169 - 25 = √ 144 = 12
- DE = 12 units
Q4
PR is opposite side of angle Q and RQ is adjacent side
- tan 54 = PR/RQ
- tan 54 = PR / 4.6
- PR = 4.6tan 54
- PR = 6.33 units
Q5
As previous question, using tan as BC is opposite and AC is adjacent leg of angle A
- tan A = 6.8/3
- tan A = 2.266
- A = arctan (2.266)
- A = 66.19°
Answer:
80
Step-by-step explanation:
3/5 of 200 = 120
200-120 = 80
