Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 
, thus
y = - x + c ← is the partial equation
To find c substitute (- 5, 8) into the partial equation
8 = 1 + c ⇒ c = 8 - 1 = 7
y = - x + 7 ← in slope- intercept form
Multiply through by 5
5y = - x + 35 ( add x to both sides )
x + 5y = 35 ← in standard form → a
Answer:
1.1%
Step-by-step explanation:
cost price=1.10×12
=$13.20
selling price=(12-3)×1.45
=9×1.45
=$13.05
loss= cost price-selling price
=13.20-13.05
=0.15
loss percent=0.15/13.20×100
1.13636
1.1%
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Answer:
There are 29 triangles when you count them all including non obvious ones.
Answer:
The answer is C, The use of Pi can be used to find the ratio of the diameter and circumference of a circle
Step-by-step explanation:
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
