Answer:
Step-by-step explanation:
Using the graph we can notice something
let's take the abscissa -2 and -4
- the ordinate that goes with -2 using g is 0
- the ordinate that goes with -4 using f is 0
so we can say that :
f(-4)=g(-2)
wait we khow that g(x)=f(k*x)
so x= -2 then let's replace it in the expression : f(k*x)
we get f(-4)=g(-2)=f[k*(-2)]
let's solve the equation: -2k = -4
k = -4/-2
k=2
so finally we get k=2
let's check :
from the graph we get :
we have (-1)*2 = -2
so it is true
Answer:
m∠P = 82°
m∠Q = 49°
m∠R = 49°
Step-by-step explanation:
<em>In the isosceles triangle, the base angles are equal in measures</em>
In Δ PQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ ∠Q and ∠R are the base angles
→ By using the fact above
∴ m∠Q = m∠R
∵ m∠Q = (3x + 25)°
∵ m∠R = (2x + 33)°
→ Equate them
∴ 3x + 25 = 2x + 33
→ Subtract 2x from both sides
∵ 3x - 2x + 25 = 2x - 2x + 33
∴ x + 25 = 33
→ Subtract 25 from both sides
∵ x + 25 - 25 = 33 - 25
∴ x = 8
→ Substitute the value of x in the measures of angles Q and R
∵ m∠Q = 3(8) + 25 = 24 + 25
∴ m∠Q = 49°
∵ m∠R = 2(8) + 33 = 16 + 33
∴ m∠R = 49°
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠P + m∠Q + m∠R = 180°
→ Substitute the measures of angles Q and R
∵ m∠P + 49 + 49 = 180
∴ m∠P + 98 = 180
→ Subtract 98 from both sides
∵ m∠P + 98 - 98 = 180 - 98
∴ m∠P = 82°
Answer:
$2.25
Step-by-step explanation:
Note that 4 quarters = one dollar, which means that one quarter = 1.00/4 = 0.25
Multiply the value of 1 quarter (0.25) with the amount of quarters there are:
0.25 x 9 = 2.25
$2.25 is your answer
~
Answer:
1/18 (5.5%)
Step-by-step explanation:
You have a 1/3 chance to get red the first time and a 1/6 to get blue the second. So to find the compound probability of this you multiply 1/3*1/6.
Answer:
150.85inches
Step-by-step explanation:
TSA of cone= πr(r+l)
= 22/7×4(4+8)
= 150.85inches
