Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
Learn more about triangles here:
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if A(x) = -x^2 + 4, B(x) = -3x - 4, and C(x) = 5x^2 + 2x, form a simplified expression for A(x) + B(x) + C(x).
Answer:
5x² - x - 4
Step-by-step explanation:
B(x) + C(x)
= - 3x - 4 + 5x² + 2x ← collect like terms
= 5x² - x - 4
a 2. At what price should a shopkeeper sell a cupboard to make a profit of 10% while the cost price is Rs. 3950?
Step-by-step explanation:
10/100×3950
=395
3950+395
=4345
A circle is drawn inside a square.
a
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of t.
Shaded area = 21.46
Step-by-step explanation:
First find area of square,
Area = length × width
A = 20 × 20
A = 400 cm^2
Secondly, find area of circle
Area of circle = (π)r^2
A = (π)10^2
A = 100 π
Thirdly, find the area outside of the circle
Area of square - Area of circle
400cm^2 - 100π
= 85.84
lastly divide the answer by 4 to find the shaded area
85.84 ÷ 4
= 21.46
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
Answer:
8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Step-by-step explanation:
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)
= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc
Combining like terms:
= 8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Answer:
8cx + 45ab + 18ax - 2bc - 15bx - 22ac
Step-by-step explanation:
(8c - 9b)(x - 5a) + (3x + 3c)(6a - 2b)8cx - 9bx - 40ac + 45ab + 18ax + 18ac - 6bx - 2bc8cx + 45ab + 18ax - 2bc - 15bx - 22acFind the number that makes the ratio equivalent to 36:81.
4:
Answer:
9
Step-by-step explanation:
9*4 = 36
9*9 = 81
divide both by 9 and you get 4:9
I’m just trying to check my math, I got 159
Wellington city engineers are designing two parallel roads by the International Polo Club to help with traffic flow during tournaments.
Answer:
159°
Step-by-step explanation:
Angle 21° and <4 are supplementary angles!
21 + x = 180
x = 159°
Hope this helps!
The measure of angle ∠4 is 159.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
The angle opposite to 21° and ∠4 sum is 180.
This means,
Angles on the same side.
Now,
Opposite angles are equal.
So,
21 + ∠4 = 180
∠4 = 180 - 21
∠4 = 159
Thus,
The measure of angle ∠4 is 159.
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A group of 30 people are going to run a race. The top three runners earn gold silver, and bronze medals .
Expand & simplify
5
(
p
+
5
)
+
6
(
p
+
6
)
5(p+5) + 6(p+6)
First step: Distribute (PEMDAS --> Parenthesis)
5p + 25 + 6p + 36 Now, combine like terms
11p + 61
Thus, the answer is 11p + 61
[tex]5(p+5)+6(p+6)\\\\=5p+25+6p+36\\\\=11p+61[/tex]
IF YOU HELP ME NOW ILL GIVE BRAINLIST!
Answer:
A. <
B. =
C. >
D. <
Step-by-step explanation:
Answer:
a. 3.07 < 3.7
b. 12.3 = 12.30
c.0.7 > 0.65
d. 1.82 < 1.89
Step-by-step explanation:
a. By looking at the tenths place, you can see that 3.07 is less than 3.7.
b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.
c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.
d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.
I need help pls guys
Answer:
11
Step-by-step explanation:
11 is ur answer to the question.
I hope it helped yoy
Howdoyouwrite
4
5
asapercentage?
Answer:
80%
Step-by-step explanation:
4/5 as a percentage would be 8/10ths, or 80%
By multiplying the fraction to get a denominator of 10, you get 8 over 10. Therefore it would be 80 percent of 100.
l i k e i s a i d 8th grade math
Answer:
A.
Step-by-step explanation:
In a direct proporton, the ratio of one quantity to teh other is a constant.
Let's divide each number of crystals by each number of pounds:
7/14 = 1/2
14/28 = 1/2
21/42 = 1/2
28/56 = 1/2
The ratio of crystals to pounds is always 1:2.
This is a proportional relation.
Answer: A.
simply the difference of 8w^2 -8w - 6) -(3w^2 +7w - 4)
Answer:
can you post the question I don't understand
Pls I need it for a testI’ll give out 20 points
Answer:
It should be D.
Step-by-step explanation:
The following figure shows AABC with side lengths to the nearest tenth.
C
48
6
71
A
B
Find AB in AABC.
Round to the nearest tenth.
Answer:
AB = 4.7 to the nearest tenth
Step-by-step explanation:
Usine the Sine Rule:
6/sin71 = AB/sin48
AB = (6 * sin48)/ sin71
= 4.716
PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST
Answer:
10.5 units squared
Step-by-step explanation:
just count the squares up or use the formula (a+b)/2 * h .
Not sure what "each square is worth means" sorry, if you clarify I can answer
one square is 2 cm swuared.
trapezoid area = 1/2h(b1+b2)
area = 1/2(6)(10+4)
area = 3*14
area =42
a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?
Answer:
The scientist would be able to go to the rain forest for only 2 days.
Step-by-step explanation:
The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.
Describe the graph of the function. y = |x – 4| – 7
The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).
Answer:
The graph is an absolute value function with vertex (4, –7)
Step-by-step explanation:
|x-4| is always positive
minimal value of |x-4| = 0
x-4 = 0 x=4
y = |4-4| - 7 = -7
please help me i don't get it
Area = length x width
area of files = 30 x 20 = 600 square feet
area of unmoved field = 16 x 26 = 416 square feet
area that was mowed = 600 - 416 = 184 square feet
answer: 184 square feet
Answer:
184 ft
Step-by-step explanation:
so, for this, the key is the smaller dimentions on the inside, they are the area of the smaller inner rectangle (416 ft) and the bigger dimentions on the outside, are for the entire rectangle including the mowed area (600 ft), but you dont know the exact value of the mowed area, so you would simply subtract the areas (600-416=184) and that number, 184, is the area of the mowed area that you didnt know.
hope this helps
kleann
Picture blow………………….
ANSWER:
e. 4 and 2
f. 1 and 3
g. 5 and 6
h. 7 and 8
Ok done. Thank to me >:3
The cake that Larry is baking requires 1 cup of sugar. Larry is adding sugar to a bowl using a measuring scoop. In the first scoop, he adds 7/8 cup of sugar. In the second scoop, he adds another 7/8 cup of sugar. Has Larry measured the sugar correctly?
SOMEONE HELP PLEASE! I HATE ANGLES
Answer:
a = 51°
b = 67°
Step-by-step explanation:
Angle a is equal to 51 since it is vertically opposite to the angle on top of it.
Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:
a+b+62=180
51+b+62=180
b= 180-(51+62)
b= 180-113
b= 67
A line passes through the point (-6, 9) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answer:
y = 4/3x + 17 .
Step-by-step explanation:
Use the point-slope form of a line:
y - y1 = m(x - x1)
y - 9 = 4/3(x - -6)
y - 9 = 4/3x + 8
y = 4/3x + 17 <--------- Slope-intercept form.
The yearbook club had a meeting. The meeting had 8 people, which is one-fourth of the club. How many people are in the club?
Answer:
32
Step-by-step explanation:
Since we know 8 = 1/4
We can convert the 1/4 into a percentage:
8 = 25%
To get to 100% which is the full club we have to multiply both sides by 4:
8×4 = 25% ×4
32 = 100%
So there are 32 people in the club.
A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )
A window needs a piece of glass of 3m by 2m to fit into its frame. What is the total area of glass needed for 25 windows?
use a distribute propety for the equiotion 25- (3x+5 ) =2(x +8)+x
Answer:
x=2/3
Step-by-step explanation:
25-(3x+5)=2(x+8)+x
25-3x-5=2x+16+x
20-3x=3x+16
20-3x-3x=16
20-6x=16
6x=20-16
6x=4x=4/6
simplify
x=2/3
Answer:
x=2/3
Step-by-step explanation:
what is the equation in standard form of the line that passes through the point (6, -1) and is parallel to the line represented by 8x + 3y =15?
The equation in standard form of the line is given by:
[tex]\frac{8}{3}x + y = 15[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the line is parallel to 8x + 3y =15, hence the slope is given by:
[tex]m = -\frac{8}{3}[/tex]
It passes through the point (6, -1), hence:
y = mx + b
[tex]-1 = -\frac{8}{3} \times 6 + b[/tex]
b = 15
Hence:
[tex]y = -\frac{8}{3}x + 15[/tex]
In standard form:
[tex]\frac{8}{3}x + y = 15[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
The median is 8.1
Step-by-step explanation:
You add up all the numbers and divide it by how much numbers there are.
1) Add. 1 + 7+ 16 + 18 + 40 = 81
2) Count. There are 10 numbers.
3) Divide 81/10
4) 8.1
The median is 8.1
Please help me with this please and thank you please actually help me with this please
Answer:
easy ok first 0 -3 1 -4 2 -5
Step-by-step explanation:
ask me another