Answer:
21.25 feet
Step-by-step explanation:
16.5 feet
+14.75
=21.25 feets
solve similar triangles (advanced)
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.
How many gallons of gas did Mr. Rao have in his tank before he filled it?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
gal
4.475 or 4 19/40 gallons
How?
12.65=253/20
253/20= 12 13/20
////////
I need a similar denominator of 12 13/20 and 17 1/8.
12 13/20×2/1= 12 26/40
17 1/8×5= 17 5/40
17 5/40-12 26/40= 4 19/40
Therefore,
the answer is 4 18/40 gals
Answer:
4 19/20
Step-by-step explanation:
17 1/8 - 12 13/20 = 4 19/20
6 divided by 4 write your answer in a decimal form
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
I tried to make sense of this and it doesn’t make sense. Can someone please help?
Answer:
85 because if you do the math
Help I give brainly
The acute angles of a right triangle measure (48 - x) and (3x – 10). What is the value of x?
Answer:
[tex]\huge\boxed{\sf x = 26}[/tex]
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
Step-by-step explanation:
x=26
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
So, we get:
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
Hope this helped!
Which inequality is graphed below
can someone tell me if i did this right lol
Answer:
Your calculation is correct, but I'd answer 33.0 in.
Step-by-step explanation:
You are correct. Good job.
Answer:
I'm 96% sure its right, and those are pretty good odds ^^
What is the scale factor of the
dilation shown?
Answer:
2
Step-by-step explanation:
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
5x-15y=-20, 5x-4y=-9 systems of equations (elimination)
Answer:
(- 1, 1 )
Step-by-step explanation:
5x - 15y = - 20 → (1)
5x - 4y = - 9 → (2)
Multiplying (2) by - 1 and adding to (1) will eliminate the x- term
- 5x + 4y = 9 → (3)
Add (1) and (3) term by term to eliminate x
0 - 11y = - 11
- 11y = - 11 ( divide both sides by - 11 )
y = 1
Substitute y = 1 into either of the 2 equations and solve for x
Substituting into (1)
5x - 15(1) = - 20
5x - 15 = - 20 ( add 15 to both sides )
5x = - 5 ( divide both sides by 5 )
x = - 1
solution is (- 1, 1 )
3\sqrt{ }528
please help
Answer:
8.08248
Step-by-step explanation:
Use a calculator
I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
X
-9
-5
-1
3
Y
- 2
0
2
4
What is the slope of the line?
ok done. Thank to me :>
Rsound answer to two decimal places
80.75757575757575757575
Answer:
[tex]80. \bar{75}[/tex]
A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity
Please see the photo
Please don't answer randomly because if you answer randomly you are gonna lose points
Answer: b
Step-by-step explanation:
Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)
Step-by-step explanation:
WILL GIVE BRAINLIEST
y = 2x - 9
y = 1/2x + 3
These two lines are:
parallel
perpendicular
neither
Answer:
neither
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 9 ← is in slope- intercept form
with slope m = 2
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel
2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular
f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))
Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.
What is 2/3 – (-2/3)
Answer:
2/3 - (-2/3)
=0.66 - (-0.66)
=0.66+0.66
= 1.32
Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the speed that each bicyclist rode in
miles per hour if they are 8V2 miles apart after riding
for 2 hours at the same speed
Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
_____
Additional comment
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.
NEED HELPPP ASAAPPPPPPP
Answer:
me too
Step-by-step explanation:
how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
someone help pls pls
Answer:
3.636 hour. dividing 200miles /55m/h =3.636h
Answer:
3 hours 38 minutes is what calculators online say
Step-by-step explanation:
You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know
Write the equation of the line that passes through the point -3,4 and slope of 6
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
Prove the following:
1 + cos^2 A = 2 ( cos^4A + sin^4A)
The 2 sides of the equation are not equal; hence, I cannot prove them to be true.
is this a function
Find the domain and range
Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answer:
it is c
Step-by-step explanation:
can someone help me out plz
Answers:
A = 3
B = -7
C = 3
D = -7
======================================================
Explanation:
You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.
Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]
We'll plug in a = 9, b = -42, and c = 49.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]
Because the root is x = 7/3, it leads to the factor 3x-7 = 0
Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.
It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.
So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.
Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.
Therefore, A and C are both 3, while B and D are both -7.
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation: