Answer:
Length of DE = 7.5 units
Length of DB = 9.2 units
Measure of ∠FED = 82°
Step-by-step explanation:
In ΔABC,
AD ≅ BD and CE ≅ BE [Given]
By the theorem of mid-segments,
DE = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{1}{2}(15)[/tex]
DE = 7.5 units
Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]
Therefore, length of DB = 9.2 units
[Although it's not given in the question, but we assume FE║AB]
Since FE║AB and DE is a transverse,
Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]
four rational numbers between 2/3 and 4/5
Answer:
5/7, 11/15, 23/31, 47/63
Step-by-step explanation:
any number you can write into a fraction between those numbers
solve 5kx+ 6=7kx for x
Answer:
A
x= 3/x
Step-by-step explanation:
5kx + 6 = 7kx
collect like term
5kx - 7kx = -6
-2kx = -6
minus cancel out
=> 2kx = 6
divide bothside by 2k
=> x = 6/2k
=> x = 3/k
Answer:
Step-by-step explanation:
its A just trust :)
Can someone please help with this answer
Answer:
16x9= 144 cm2
Step-by-step explanation:
what are the zero's f(x)=(x-3)(x+8)
Answer:
-8, 3
Step-by-step explanation:
[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]
i couldn't find this answer anywhere!! -x/6+6=32
Answer.
x=156
How to solve
x /6 +6=32
1 /6 x+6=32
1 /6 x+6−6=32−6
1 /6 x=26
6*( 1/ 6 x)=(6)*(26)
x=156
The value of [2-3(2-3)-1]-1 is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A = [2 - 3(2 - 3) - 1] - 1
The operations inside parenthesis are performed first. We have:
A = [2 - 3*(-1) - 1] - 1
The multiplication is performed next. We have:
A = [2 - (-3) - 1] - 1
Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:
A = 2 - (-3) - 1 - 1
= 2 + 3 - 1 - 1
= 5 - 2
= 3
Hope this helps!
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Answer:
3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
Step-by-step explanation:
Answer:
answer d
Step-by-step explanation:
edg 2020
When Anna bought 10 cream puffs and ice creams, at $1.50 per
cream puff and $1.20 per ice cream, the total price was $13.80.
How many cream puffs and ice creams did she buy, respectively?
Answer:
6 cream puff and 4 ice creams
Step-by-step explanation:
i = ice cream
p = cream puff
p+i= 10
1.50p + 1.20 i = 13.80
Multiply the first equation by -1.2
-1.20p -1.20 i = -12.00
Add this to the second equation
1.50p + 1.20 i = 13.80
-1.20p -1.20 i = -12.00
----------------------------------
.3p = 1.80
Divide each side by .3
p =6
Now find i
p+i = 10
6+i= 10
i= 10-6 =4
help? Given the points (0, 9) and (2, 3) find the slope.
Answer:
Slope = -3
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{3-9}{2-0}[/tex]
Slope = [tex]\frac{-6}{2}[/tex]
Slope = -3
PLEASE HELP WILL MARK BRAINLIEST
find the value of x
I think,
the value of x is 90°
A store sells an outfit that consists of a shirt, a tie, and a pair of pants. The store purchases the shirt for $18, the tie for $12, and the pants for $35. The percent of markup is 22%. Find the selling price of the outfit.
Answer:The selling price of the outfit is $79.3
Step-by-step explanation:
18 + 12 + 35 = $65
65* 22% = 14.3
14.3 + 65 = $79.3
or
100% + 22% = 122%
122% of 65
1.22 * 65 = 79.3
The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r
Answer:
r = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{3}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)
m = [tex]\frac{r+6}{11-3}[/tex] = [tex]\frac{r+6}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
2(r + 6) = 24 ( divide both sides by 2 )
r + 6 = 12 ( subtract 6 from both sides )
r = 6
solve ....... x/2 = 7
Answer:
x=14
Step-by-step explanation:
x/2=7
*7 on both sides
x=14
Answer: x=14
Step by step explanation:
Step 1: Multiply both sides by 2.
X/2*2=7*2
X=14
It was easy as that:D
(PIC INSIDE!!!) What is the equation of the following linear function?
Answer:
y=4x-4
Step-by-step explanation:
Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.
Therefore, the equation is y=4x-4. Hope this helps!
what is the value of 2²+5²
Answer:
29
Step-by-step explanation:
2^2 + 5^2
PEMDAS
Exponents first
4+25
Then add
29
Timothy Bergling is designing a logo. The logo is a polygon whose shape is a square attached to an equilateral triangle. The square and the equilateral triangle have side lengths of 2 centimeters, and the equilateral triangle has a height of about 1.7 cm. Find the area of the logo.
Answer:
The logo has an area of 5.7 cm².
Step-by-step explanation:
The area of the logo must be equal to the sum of the square's area and the triangle's one, therefore we will calculate each individually. The triangle is attached to the square, this means that its base has the same length as the side of the square.
[tex]square = side^2 = 2^2 = 4 \text{ cm}^2[/tex]
[tex]triangle = \frac{b*h}{2} = \frac{2*1.7}{2} = 1.7 \text{ cm}^2[/tex]
The total area of the figura is:
[tex]total = square + triangle = 4 + 1.7 = 5.7 \text{ cm}^2[/tex]
The logo has an area of 5.7 cm².
40)
6 cm
4 cm
12 cm
Find the volume of the rectangular prism.
will
Answer:
the volume is 288 squared cm
Step-by-step explanation:
z=5 is a solution choose 3 answers
A
8=z+3
B
z-1=6z
C
20=40÷z
D
12z=60
E
12+z=60
Answer:1. (a) 8=z-3 ---> z=5
2.(d) 12z=60----> z=5
3.(e) 12+z=17 ----> z= 5
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
A. 8 = z + 3 → subtract 3 from both sides:
5 = z
-------------------------------------------------------------------
B. z - 1 = 6z → subtract z from both sides:
-1 = 5z → divide both sides by 5:
-0.2 = z
--------------------------------------------------------------------
C. 20 = 40 ÷ z → multiply both sides by z:
20z = 40 → divide both sides by 20:
z = 2
--------------------------------------------------------------------
D. 12z = 60 → divide both sides by 12:
z = 5
---------------------------------------------------------------------
E. 12 + z = 60 → subtract 12 from both sides:
z = 48
Find the slope of the line that passes through the points (-1, -2) and (-9, -2)
Answer:
0
Step-by-step explanation:
Ok use the equation: (Y2 - Y1) / (X2 - X1)
((-2) - (-2)) / ((-9)-(-1))
0/ -8
we know that 0 divided by any number is 0
so slope = 0
If you borrow $300 for 14 years at
an annual interest rate of 4%, how
much will you pay altogether?
Answer:
$468
Step-by-step explanation:
I = P*R*T
I = 300*0.04*14
I = 168
168 + 300 = 468
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
y = –0.25x + 4.7
y = 4.9x – 1.64
The approximate solution to the system is (
,
).
Answer:
The approximate solution to the system is (1.2, 4.4)
x = 1.2 and y = 4.4
Step-by-step explanation:
The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation = 4.9x – 1.64.
The solution of the system of equations is their point of intersection shown on the graph.
The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.
So the approximate solution to the system is (1.2, 4.4)
i will give brainliest. Select the 2 equations that are equal to the expression z^8. Answers in picture below.
[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form
Answer:
45×10^10
Step-by-step explanation:
try opening the brackets group and you get the answer
The probability of getting a number divisible by 3 is 3/10 using a game spinner.
The denominator of that probability is:
Answer:
B
Step-by-step explanation:
the denominator should be the total amount of outcomes.
George used the diagram below to help determine 30% of 60. Which expression could George have used?
Answer:
(3)(6)
Step-by-step explanation:
1st. Find the answer(60*30%=18)
2nd. Find the option that equals 18 which was (3)(6)
Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.
Answer:
(3)(6)
Step-by-step explanation:
i did the test
What is the slope of the graphed line?
Answer:
The slope is 1/3
Step-by-step explanation:
Just use the rise over run method i told you about earlier.
The right point is 3 units higher and 9 units more to the right.
3/9 = 1/3.
i hope this helped :)
Mark this question as brainliest if you think it was the best answer.
This is the right answer.
Function g can be thought of as a translated (shifted) version of f(x)=x^2.
PLEASE HELP I NEED THISSS!!!
Answer:
g(x) = x² - 3
Step-by-step explanation:
A quadratic function has been given as,
f(x) = x²
If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,
g(x) = x² - h
From the graph attached, h = 3 units (shift of 3 units downwards)
Therefore, g(x) = x² - 3 will be the translated version of f(x).
The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.
Answer:
The price before the increase was £21.20
Step-by-step explanation:
Now, let the former price before the increment be £x
The increment would be 22-x
Mathematically, the percentage increment = difference between the prices/old price * 100%
Thus, we have(
(22-x)/x * 100 = 4
100(22-x) = 4x
2200-100x = 4x
100x + 4x = 2200
104x = 2200
x = 2200/104
x = 21.154
which is x = 21.2 to the nearest penny
Answer:
21.15
Step-by-step explanation:
22 × 10 = 220
100%+4%=104
104 ÷ 10 = 10.4
220 ÷ 10.4 =21.15384615
To the nearest penny it would be 21.15
Based on the data, which table shows a constant of
proportionality of 2 for the ratio of granola to raisins?
Table A
Table B
Table C
Table D
Answer:
C
Step-by-step explanation:
4/2 =2
12/6 =2
20/10 =2
Create a problem using the Pythagorean theorem. Then, solve the problem you’ve created showing all steps.
Answer:
Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.
Step-by-step explanation:
Using the Pythagorean Theorem you say:
AB²=AC²+CB²
AB²=12²+5²
AB²=144+25
AB²=169
AB=√169
AB= 13