3x -1 = 11
3x = 11 + 1
3x = 12
x = 4
I take it by, x2 + x, you mean 2x + x, since x = 4, then
2x + x = 2(4) + (4) = 8 + 4 =12
Answer:
8
Step-by-step explanation:
The equation for the area of a parallelogram is A=bh. In this case, the base is 4 and the height is two so the equation would be 4*2 which would be eight.
Answer:
12.6
Step-by-step explanation:
The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,
left triangle : right triangle
ratio = 25 : 17.5
The bottom sides are also in the same ratio.
ratio = 18 : w
Write a proportion by setting the ratios equal and solve for w.
25/17.5 = 18/w
Cross multiply.
25w = 17.5 * 18
25w = 315
w = 12.6
Answer: 12.6
<span>b/a=c/d
Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement.
b/aâ‹…c/d=â’1
* This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer.
b/a=c/d
* b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two.
b/a=d/c
* b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer.
b/aâ‹…d/c=â’1
* And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
<h3>The ladder will reach a height of 11.8 feet up the wall</h3>
<em><u>Solution:</u></em>
The ladder, wall and base of the ladder from wall forms a right angled triangle
Length of ladder forms the hypotenuse
Length of ladder = 12 foot
base of the ladder from wall = 2 feet
<em><u>To find: height of wall</u></em>
By pythagoras theorem.
Where,
"c" is the Length of ladder
"a" is the base of the ladder from wall
"b" is the height of wall
Substituting the values,
Thus, the ladder will reach a height of 11.8 feet on wall
