Help with this one? Please
Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:
[tex] \frac{24}{24 - 15} = \frac{x}{x - 25} [/tex]
[tex] \frac{24}{9} = \frac{x}{x - 25} [/tex]
Cross multiply
[tex] 24(x - 25) = 9(x) [/tex]
[tex] 24x - 600 = 9x [/tex]
Subtract 24x from each side
[tex] - 600 = 9x - 24x [/tex]
[tex] - 600 = -15x [/tex]
Divide both sides by -15
[tex] 40 = x [/tex]
x = 40
Simplify the following square roots:
[tex]\sqrt{32}[/tex]
[tex]\sqrt{28}[/tex]
[tex]\sqrt{12}[/tex]
Answer:
Sqrt32 = 4[tex]\sqrt{2}[/tex], Sqrt28 = 2[tex]\sqrt{7}[/tex], Sqrt12 = 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Square root of 32:
First we find the prime factors of the number by making a factor tree.
32 splits into 8 and 4.
8 splits into 4 and 2
4 splits into 2 and 2
4 splits into 2 and 2
This becomes the square root of [tex]2^{2}[/tex] x [tex]2^{2}[/tex] x 2. It will simplify to:
4[tex]\sqrt{2}[/tex]
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2[tex]\sqrt{7}[/tex]
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2[tex]\sqrt{3}[/tex]
Answer:
They can not be simplified because they are not perfect squares.
I GIVE BRAINLILEST
Sidney's office recycled a total of 32 kilograms of paper over 4 weeks. After 12 weeks, how many kilograms of paper will Sidney's office have recycled? Assume the relationship is directly proportional.
Answer:
96 kilograms
Step-by-step explanation:
32x3=96 just trust me I don'T know how to explain
What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest
tenth of a centimeter?
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer: 31.9 cm
Step-by-step explanation:
Got it from deltamath so it's right
Help i don’t know if my answers are correct and I need the other ones I didn’t answer to be answered to please help I need the correct answer for 1-8 I need to bring my grade up
Two parallel lines are cut by a transversal. What is the measure of angle6 ?
Answer:
A
Step-by-step explanation:
Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.
The measure of angle 6 is 57°
The correct answer is an option (A)
What are parallel lines?"The lines in the same plane that are at equal distance from each other and never meet."
What is transversal?"A line that passes through two lines in the same plane at two distinct points in the geometry. "
What are opposite angles?"The angles directly opposite to each other when two lines intersect in a plane."
For given question,
Line n and line p are parallel lines and line t is the transversal.
Here, angle 1 and angle 4 are opposite angles.
⇒ ∠1 = ∠4
We have been given that ∠1 = 123°
⇒ ∠4 = 123°
Also, angle 4 and angle 6 are interior angles on the same side of the transversal.
We know that each pair of interior angles on the same side of the transversal is supplementary.
⇒ ∠4 + ∠6 = 180°
⇒ 123° + ∠6 = 180°
⇒ ∠6 = 180° - 123°
⇒ ∠6 = 57°
Therefore, the measure of angle 6 is 57°
The correct answer is an option (A)
Learn more about the angles formed by parallel lines and transversal here:
https://brainly.com/question/16967505
#SPJ2
[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?
Answer:
x = 4
Step-by-step explanation:
x = 4 is the vertex of the function.
This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.
x - 4 = 0
x = 4
A family is renting an apartment. For 2007, the rent is 1634 per month. The monthly rent for 2007 is 7.5% higher than the monthly rent in 2006. Determine the monthly rent in 2006
Answer:
$1634*.925=$1511.45
Step-by-step explanation:
100%-7.5%=92.5% / 100 = .925 then multiply by the value of 2007 which is $1634... 1634*.925=1511.45
PLEASE HELP i’ll mark brainliest
Answer:
umm...
where's the question?
Please help me with my homework :)
Step-by-step explanation:
x = 36
y = 48
z = 72
hope it helps
Help I give brain help please
Answer:
x > 3
Step-by-step explanation:
180x > 540
x > 540/180
x > 3
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
What is the discriminant of the quadratic equation 5x^2-8x+4=0?
This one as well please
Answer:
1/11
Step-by-step explanation:
If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.
What is the equation of the line that passes through the point (-5,0) and has a
slope of 3/5
Quick please
You purchase a new sweater for $35. The original
price was $50. What was the percent change of the
price of the sweater
plesee help meeeeee
if the cost of 2 dozen pens is Rs 600 how much more is the cost of 30 pens
Answer:
Step-by-step explanation:
2dozens= 24
24 pens cost Rs. 600
30 pens cost = (600x30)/24 = 18000/24 = Rs. 750
PLS HELP!! ASAPPPPPPPP
I GIVE BRAINLILSET
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Answer:
H) 20%
Step-by-step explanation:
40 - 32 = 8
8/40 = .2
guess the number pleaseeee
PLEASE HELP URGENTTTTT
Answer:
8
Step-by-step explanation:
Because its a 2,2
A parallelogram is transformed according to the rule (x, y) - (x. y). Which is another way to state the
transformation?
O R0 90 degrees
O R0 180 degrees
O R0 270 degrees
O R0 360 degrees
How are the figures similar?Explain
Answer:
Yes, the given figure are similar but not congruent. All the edges are making angles of 90°.
-2 1/3 - (-5) =
Solve please
Answer:
2 2/3
Step-by-step explanation:
There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
What is the perimeter of the triangle?
units
Answer:
40 unitsStep-by-step explanation:
perimeter = add up all sides
= 8 + 15 + 17
= 40 units
see image below
1/9 of the shirts sold at the shop are striped .5/8 of the remainder are printed .the rest of the shirts are plain shirts .if peter shop has 81 plain colored shirts how many more printed shirts than plain shirt
Answer:
Step-by-step explanation:
Let total shirts be x.
Then, Striped shirts = 1/9x
Remaining Shirts= 8/9x
Therefore, Printed Shirts = 5/8 × 8/9x
= 5/9x
Remaining Shirts
or
Plain Shirts= x - ( 5/9x + 1/9x )
= 3/9x
Acc. to problem,
Plain Shirts=81
Therefore,
3/9x=81
=> x=81×9/3
=> x=27×9=243
Therefore,
Total Shirts= 243
I hope that helps you
Answer: 54
It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D
What are the slope and Y intercept of the line described by Y equals 3X -6
The first equation from the system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = –x, y = 2x + 6 What is the point of intersection? (2, 1) (–1, 2) (0, 6) (–2, 2)
Answer:D
Step-by-step explanation:
just took it on edge
Answer:
The answer is d
Step-by-step explanation: