<h3>The value of x is 4.10</h3>
<em><u>Solution:</u></em>
Given that,
The angle Johnny holds his pen on paper creates a linear pair
Angles in a linear pair are supplementary angles
Two angles are supplementary, when they add up to 180 degrees
The measure of one angle is 13x + 7
The measure of the second angle is one less than twice the first angle
Therefore,
Measure of second angle = twice the first angle - 1
Measure of second angle = 2(13x + 7) - 1
Measure of second angle = 26x + 14 - 1
Measure of second angle = 26x + 13
Therefore,
Measure of first angle + measure of second angle = 180
13x + 7 + 26x + 13 = 180
39x + 20 = 180
39x = 180 - 20
39x = 160
x = 4.1
Thus value of x is 4.10
Answer:
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Step-by-step explanation:
we know that
The dimensions of the garden in the actual are 10 ft by 5 ft
The dimensions of the garden on the scale drawing are 12 in. by 6 in
step 1
Find the scale factor
To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual
so
simplify
That means
1.2 inches in the drawing represent 1 foot in the actual
step 2
Find out the dimensions of the herb garden on the scale drawing
we know that
The dimensions of the herb garden in the actual are 2 ft by 5 ft
Multiply by the scale factor
so
therefore
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
an = a1r^(n-1)
a5 = a1 r^(5-1)
-6 =a1 r^4
a2 = a1 r^(2-1)
-48 = a1 r
divide
-6 =a1 r^4
---------------- yields 1/8 = r^3 take the cube root or each side
-48 = a1 r 1/2 = r
an = a1r^(n-1)
an = a1 (1/2)^ (n-1)
-48 = a1 (1/2) ^1
divide by 1/2
-96 = a1
an = -96 (1/2)^ (n-1)
the sum
Sn = a1[(r^n - 1/(r - 1)]
S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]
=-96 [ (1/2) ^ 17 -1 /-1/2]
= 192 * [-131071/131072]
approximately -192
Answer:
3rd option
Step-by-step explanation:
- 10 ≥ 6x - 4 ( add 4 to both sides )
- 6 ≥ 6x , then
6x ≤ - 6 ( divide both sides by 6 )
x ≤ - 1
Thus x = - 1 is a solution to the inequality
I can't download the picture, you will have to type it out so I can explain it
