Answer: y=2x-3
Step-by-step explanation:
It will cross the y axis at -3 and the x axis at 3/2
The two triangles will be similar (same shape, and each side of one triangle the same multiple of the corresponding side of the other triangle), but not necessarily the same size.
The key word here is "similar;" be sure you understand what that means in trig.
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
The value of <em>d</em> is 7.5.
The key to solving equations is doing the inverse, or opposite, function/process.
For example, you subtract when d + 1 = 2:
d + 1 = 2
(d + 1) -1 = (2) - 1
d = 1
In the same way, you add values when you have a negative:
5.5 = -2 + d = d - 2
5.5 = d - 2
(5.5) + 2 = (d - 2) + 2
7.5 = d
Now if instead of adding 2, you subtract 2, the problem becomes:
5.5 = d - 2
(5.5) - 2 = (d - 2) - 2
3.5 = d - 4
This doesn't solve your problem, it just makes the value needed to be canceled out larger.
Thus d = 7.5 and you will add because the value is negative.
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
9x = 72 ⇒ x = 8
Also
= ( cross- multiply )
6a = 45 ⇒ a = 7.5
And
= ( cross- multiply )
6b = 63 ⇒ b = 10.5
Corresponding angles in the 2 figures are congruent, thus
∠s = 83°
Each lower base angle is supplementary to the upper base angle on the same side, hence
∠r = 180° - 30° = 150°
