Answers
Answer:
These two triangles are similar triangles. This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Related Questions
name the property that the following statement illustrates 84+8=8+84
Answers
Answer:
the commutative property of addition :)
If the each side of equalaterial triangle is a cm. what is the area?
Answers
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answers
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew
Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used
Answers
Answer:
3 hour in my calculation
Answer:
3 hours. ......i think. ..........
enter the repeating digit
[tex] \frac{9}{11} [/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\frac{9}{11}=0 .818181....[/tex]
__
= 0.81
If 3x + 6y = 7z, find x + 2y in terms of z.
Answers
Answer:
Does the answer help you?
Please help explanation if possible
Answers
Answer:
y = 3x+6
Step-by-step explanation:
refer to the picture
Answer:
y = 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, so slope of parallel line is 3
Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)
y - 9 = 3(x - 1)
y - 9 = 3x - 3 ( add 9 to both sides )
y = 3x + 6 ← in slope- intercept form
Help needed fast!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
It has to exceed not be same or equal to
explanation: :))
Where is the blue dot on the number line?
年十
?
7.5
____
Answers
Answer:
The blue dot is located at -3
If p+1/p - 7 then find the value of p³+1/p³
Answers
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answers
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
150°
2x + 100°
X =
degrees
Answers
Answer:
x = 25°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
2x + 100 = 150 ( subtract 100 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25°
Answer: x = 25°
Step-by-step explanation:
⇒2x + 100 = 150
⇒2x = 150-100
⇒x = 50/2
⇒x = 25
Reason (VOA) vertically opposite angles are equal.
please click thanks and mark brainliest if you like :)
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
Answers
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?
Answers
Answer:
The evening temperature is 4° F
Step-by-step explanation:
6° F below 0 = -6.
15° F. -6 + 15 is 9.
9° F. 5° F. 9 - 5 = 4
Correct answer gets 5 stars
Answers
Answer:
C
Step-by-step explanation:
The slope is (6-8)/(0-(-2))=-1. The y intercept is (0,6)
Plssss help me with this question!!!!
Answers
[tex]\\ \sf\longmapsto x+14+x=32[/tex]
[tex]\\ \sf\longmapsto 2x+14=32[/tex]
[tex]\\ \sf\longmapsto 2x=32-14[/tex]
[tex]\\ \sf\longmapsto 2x=18[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?
I need explanation with answer
Thank you!
Answers
So 20 times 2
And 5 times 2
Then add the two
Your answer is 50m
50 m
Step One: Every rectangle, opposite side are equal sides.
Area=2, the area of this rectangle is 2*(l+b).
Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:
50 meters.
I hope I've helped!
find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}
Answers
Answer:
domain : {3,4,6}
range: {1,5,9}
Multiply. Write your answer in the simplest form.
3/8×3/7×4
Answers
Answer:
9/14
Step-by-step explanation:
3/8 * 3/7 * 4/1
~Multiply
9/56 * 4/1
~Multiply again
36/56
~Simplify
9/14
Best of Luck!
Answer:9/14
Step-by-step explanation:
3/8×3/7=9/56
9/56×4/1
(divide the 56 by 4 and the 4 by 4)
9/14 × 1/1 = 9/14
Directions - Write an equation in Slope-Intercept Form (y = mx + b) for the line with the given slope (m) and y-intercept (b).
m = \frac{1}{2}
2
1
, b = 8
Answers
Answer:
y=(1/2)X+8
Step-by-step explanation:
Divide...................
Answers
Answer:
Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25
Step-by-step explanation:
Answer:2.25
Step-by-step explanation:
hope this helps
Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?
Answers
Answer:
71 boxes
Step-by-step explanation:
1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)
2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)
3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.
71*12=852 70*12=840
Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.
solve for each of the following equations. /2x+3/=10
Answers
Answer:
/2x+3/=10
2x+3=10 or 2x+3=-10
2x=10-3 or 2x=-10-3
2x=7 or 2x=-13
X=7÷2 or X=-13÷2
X=3.5 or X=-6.5
Work out an estimate for the value of 89.3X0.51divided by 4.8
Answers
Answer:
It is 9.5
Step-by-step explanation:
[tex] = (89.3 \times 0.51 )\div 4.8[/tex]
first solve the bracket:
[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]
Find n.
help pleaseeee
Answers
Answer:
C
Step-by-step explanation:
Im pretty sure its c, i took this test not too long ago.
There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?
Answers
Answer:
2/15
Step-by-step explanation:
2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens
P(red) = red/total = 4/10 = 2/5
Keep the pen
2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens
P(red) = red/total = 3/9 = 1/3
P(red,red) = 2/5 * 1/3 = 2/15
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
A)
Step-by-step explanation:
Volume of a Rectangular Prism Formula: L x W x H
6 yd x 3 yd x 4 yd = 72 yd^3
a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?
Answers
hi
it a cube so it's height,length and width are the same.
if volume is 112 so one if this measure is : 112^(1÷3) =4,82
Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.
Answers
Answer:
y=x-7
Step-by-step explanation:
Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7
PLEASE HURRY
Select the correct answer.
Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.
Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?
A.
18x + 24y ≤ 225
x + y ≥ 10
B.
24x + 18y ≥ 225
x + y ≤ 10
C.
18x + 24y ≥ 225
x + y ≤ 10
D.
24x + 18y ≤ 225
x + y ≥ 10
Answers
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation:
"He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer:
D.
24x + 18y ≤ 225
x + y ≥ 10
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
Step-by-step explanation: "He wants to frame no fewer than 10"
x + y ≥ 10
"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."
24x + 18y ≤ 225
Answer: D.
24x + 18y ≤ 225
x + y ≥ 10
