Given:
m∠APD = (7x + 1)°
m∠DPC = 90°
m∠CPB = (9x - 7)°
To find:
The measure of arc ACD.
Solution:
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠APD + m∠DPC + m∠CPB = 180°
7x° + 1° + 90° + 9x° - 7° = 180°
16x° + 84° = 180°
Subtract 84° from both sides.
16x° + 84° - 84° = 180° - 84°
16x° = 96°
Divide by 16° on both sides.
x = 6
m∠APB = 180°
m∠BPD = (9x - 7)° + 90°
= (9(6) - 7)° + 90°
= 47° + 90°
m∠BPD = 137°
m∠APD = m∠APB + m∠BPD
= 180° + 137°
= 317°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
m(ar ACD) = m∠APD
m(ar ACD) = 317°
The arc measure of ACD is 317°.
Answer:
C(N(h)) = 1400h +530
Step-by-step explanation:
x = N(h), so substitute in the expression for N(h) to get x
C(N(h)) = 35(40h) + 530
=> 1400h + 530
now pray for my lazy brain to check work it is correct
First equal the equation to f(x) or y
f(x)= (x²+x-2)÷(x²-3x-4)
To find y-intercept, x coordinates have to be 0
f(0)=(0²+0-2)÷(0²-3(0)-4)
f(0)=-2/-4
f(0)=1/2 (y-intercept)
To find x-intercept, make y=0
0=(x²+x-2)÷(x²-3x-4)
0((x²-3x-4)=(x²+x-2)
0=x²+x-2
0=(x-1)(x+2)
x-1
x-1=0
x=1
x+2=0
x=-2
The x-intercepts would be 1, -2
Hope I helped :)
Answer:
Width = 12 cm
Length = 14 cm
Step-by-step explanation:
Rectangle:
Let the width = x cm
So, the length = (x+2) cm
Perimeter = 52 cm
2 *(l+b) = 52
2 *(x+2 + x) = 52
2 * ( 2x + 2) = 52
2x + 2 = 52/ 2
2x + 2 = 26
2x = 26- 2
2x = 24
x = 24/2
x = 12
Width = 12 cm
Length = 14 cm
There is no such word as quationbra and I feel like you either spelled it wrong or you got an unreal word.
