Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
I WILL MARK AS BRAINLIEST! Choose The inequality that represents the statement and then graph if on The line provided. Lacey has flown at least 120 miles.
Answer: Choice b) [tex]x \ge 120[/tex]
The graph will involve a closed filled in circle at 120, with shading to the right.
See the diagram below.
============================================
Explanation:
The phrasing "at least" means "that amount or more".
Saying "at least 120" is the same as "120 or more".
Therefore, x = 120 is the smallest x can be. That's why we go for [tex]x \ge 120[/tex] which says that either x = 120 or x > 120.
Visually, we'll plot a closed filled in circle at 120 on the number line. The shading will aim to the right to indicate all values larger than 120. The closed/filled in circle is to represent we include 120 (as opposed to an open circle where we exclude it).
Due to the fact that your teacher gave you a blank number line, the placement of 120 doesn't really matter.
3(x-5)+1=2+x Please put the work!!!!!!!!!!!!!!
Answer:
3(x-5)+1=2+x
3x-15+1=2+x
3x-x=2+15-1
2x=16
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5)+1=2+x
Subtract 1 from both sides.
3(x-5)=1+x
Distribute the 3
3x-15=1+x
Add 15 to both sides.
3x=16+x
Subtract x from both sides.
2x=16
Divide both sides by 2.
x=8
I hope this helps!
pls ❤ and mark brainliest pls!
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Can someone help me please?
Answer:
469 2/3 (Answer 3)
Answer:
It's c 469 2/3
Step-by-step explanation:
7045 ÷ 15 = 469.6666667, which is just 469 2/3
A bookshop has some fiction and non books. 2/5 of the books are fiction books. Of these, 1/5 are mystery stories. 1/3 of the non fiction books are mystery stories too. What fraction of all the books in the shop are mystery books?
Answer:
1/3 of all of the books
Step-by-step explanation:
5/5 - (2/5 +1/5) =2/5
2/5(1/3) = 2/15 nonfiction mystery books
2/15 + 1/5 = mystery books
1/5 = 3/15
2/15 + 3/15 = 5/15
5/15 = 1/3
What are the coordinates of POINT A?
A.)1,2
B.)-1,2
C.)2,1
D.)1,-2
of the height of -6 feet to eat a snack (where 0 is ground level ) After that he climbed to a height of -3 feet . Express the total gain or loss of feet as a integer
Answer:
-9
Step-by-step explanation:
5(x+)+11=25-3x add workk
Answer: calculdora
5 (x +) + 11 = 25-3x adicionar trabalho
Step-by-step explana
I WILL MARK AS BRAINLIEST! Simplify
Answer:
a) -98
b) -12
c) -105
d) -46
find the exact coordinates of X on segment JK that is 1/3 the distance from j to k. J (-1,4) K(5,-3)
Answer:
ee
Step-by-step explanation:
e
I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.
Answer:
3 quadrant
3 quadrant
2 quadrant
2 quadrant
1 quadrant
4 quadrant
4 quadrant
3 quadrant
