180 = 24 x
7.5 = x
angle P = 85
angle Q = 45
angle R = 50
No this triangle is scalene because the sides nor the angles are congruent.
1)
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2)
To find the x- intercept, plug y =0
x intercept = (2,0)
To find the y- intercept, plug x=0
Y- intercept = ( 0,3)
3)
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle =
Area of triangle =
Area = sq unit.
4) The graphs of and is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB =
Slope intercept of line
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.
Equation of line AB:
Slope of BC =
Plug C = (0,-4)
b=-4
equation of line BC=
Slope of line AC =
Equation of line AC =
Y intercept of AB =
Answer: a) 84 and b ) 2084
Step-by-step explanation:
Given : Sample standard deviation : s= $22.82
(Population standard deviation is unknown ) , so we use t-test.
Critical value or the 95% confidence intervals :
Formula to find the sample size :
a) E = 5
i.e. Required sample size : n= 84
b) E = 1
i.e. Required sample size : n= 2084
Answer:
Y=2x+4
Step-by-step explanation:
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
7C = 4A
--- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
25(C + 68) = 41A
C + 68 =
--- (2)
Equating (1) and (2) together;
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From;
C = 36.57
C ≅ 37 beads