Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
Answer:
B. x < -11/3 or x > 7/3
Step-by-step explanation:
absolute value means
3x + 2 > 9 or -(3x + 2) > 9
for 3x + 2 > 9
3x > 9 - 2
3x > 7
x > 7 / 3
for -(3x + 2) > 9
-3x - 2 > 9
-3x > 9 + 2
-3x > 11
3x < -11
x < -11 / 3
1(3y-y)
If there is no number outside the parenthesis, you are wrong there is an imaginary 1
Answer:
<h2><em><u>16</u></em></h2>
Step-by-step explanation:
<h3><em><u>Question</u></em><em><u>:</u></em></h3>
4 × 2(a - 1)
<h3>
<em><u>Given</u></em><em><u> </u></em><em><u>value</u></em><em><u>:</u></em></h3>
a = 3
<h3>
<em><u>Solution</u></em><em><u>:</u></em></h3>
4 × 2(a - 1)
= 4 × 2(3 - 1) <em>[</em><em>Substituting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>=</em><em> </em><em>3</em><em>]</em>
= 4 × 2(2)
= 4 × 4
= 16
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>16</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u>.</u></em>
Step - by - step - explanation
So first find out the pattern. As you can see it just minuses 2 each time. So first
18, 16, 14, 12 (then minus another 2) equals 10, 8, 6, 4, 2.
So 2 is the ninth of the pattern, so 2 will be your answer.
Hope this helps.