Do you have a graphing calculator? if yes than all you have to do is hit the y= button in the top left corner and type 1/4x-4 for y1. then you need to hit graph in the top right corner. repeat this process substituting 1/4x-4 and -x+1
It's an isosceles triangle, therefore m∠B = m∠C.
We have the equation:
2x + 10 = 3x - 5 <em>subtract 10 from both sides</em>
2x = 3x - 15 <em>subtract 3x from both sides</em>
-x = -15 <em>change the signs</em>
x = 15
m∠B = (2x + 10)°
m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°
We know, the sum of measures of a tringle is equal 180°.
m∠A + m∠B + m∠C = 180°
m∠B = m∠C = 40°
<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm
Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side
For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm
If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
Answer: 1.303639
Step-by-step explanation:
The t-score for a level of confidence 
is given by :_
, where df is the degree of freedom and 
is the significance level.
Given : Level of significance : 
Then , significance level : 
Sample size : 
Then , the degree of freedom for t-distribution: 
Using the normal t-distribution table, we have
Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639
