Answer:
4
Step-by-step explanation:
because BC=CD as it is parallel that means all the sides are equal
The value of CD is 20/3.
The correct option is (A).
What is Similarity in Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
In ACB and ECD,
angle CAB= angle DEC
angle CBA= angle EDC
angle DCE = angle ACB
By, AA similarity criteria,
ΔACB~ΔECD
Now,
AC/CE= BC/CD
3/5=4/CD
CD= 20/3
Learn more about similarity property here:
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A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
BRAINLIEST, PLEASE!
Step-by-step explanation:
8x + 2 = 2(21)
8x + 2 = 42
8x = 40
x = 5
In the expression, the value of number is 5.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We can to given that;
The algebraic expression is,
''A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21.''
Now,
Let a number = x
Hence, We can formulate;
⇒ x × 8 + 2 = 2 × 21
⇒ 8x + 2 = 42
Subtract 2 both side,
⇒ 8x + 2 - 2 = 42 - 2
⇒ 8x = 40
Divide by 8;
⇒ x = 5
Thus, The value of number = 5
Learn more about the mathematical expression visit:
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PLEASE HELP
X+11/8 = -3
Show your work in details if you can, I have a hard time understanding this.
Answer:
[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]
maaf jika salah
Answer:
x=-35
Step-by-step explanation:
x+11=-3*8
x+11=-24
x=-24-11
x=-35
12=-4(-6x-3) please help
Step-by-step explanation:
12=-4(-6x-3)
when minus is multiplied by minus then the result is plus,
12=24x+12
Now, subtract 12 from both sides,
12-12=24x+12-12
0=24x
Now, divide both sides by 24
0/24=24x/24
0=x
Answer and Step-by-step explanation:
First, distribute the negative 4 onto the negative 6x and negative 3.
12 = 24x + 12
Subtract 12 from both sides of the equation.
0 = 24x
Divide both sides of the equation by 24.
x = 0
To check our answer:
-4(-6(0) - 3) = 12
-4(0 - 3) = 12
-4(-3) = 12
12 = 12 ✓
So, x is equal to 0.
#teamtrees #PAW (Plant And Water)
I hope this helps!
I need help as soon as possible pleaseeeeeee!!!!!!!
tough one, can any genius help me out?
Answer:
Both of them. This has a constant slope of -8 and technically starts off after 87.
For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are equal to each other.
y is given already
[tex]\\ \rm\Rrightarrow 2x-6=2[/tex]
[tex]\\ \rm\Rrightarrow 2x=2+6[/tex]
[tex]\\ \rm\Rrightarrow 2x=8[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{8}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
Answer:
x = 4; y = 6
Step-by-step explanation:
Set the x-values equal to each other and the y-values equal to each other.
The first value in parentheses is an x-value, and the second value in parentheses is a y-value.
x - 2 = 2x - 6
Subtract x from both sides
-2 = x - 6
Add 6 to both sides to get x by itself on the right.
-2 + 6 = x
4 = x
y - 3 = 3
Add 3 to both sides
y = 6
Check answers for the x-value:
4 - 2 = 2(4) - 6
2 = 8 - 6
2 = 2
Check answers for the y-value:
6 - 3 = 3
3 = 3
Simplify the expression.
3 (2 + 9) + 15 simplified is
Answer: (9)/(15)
Step-by-step explanation:
How to find 'w' ?
s is parallel to t
Answer:
110°
Step-by-step explanation:
v is 70°, that is opposite to w. The degree of a line is 180°.
180 - 70 = 110
I hope this helps!
pls ❤ and mark brainliest pls!
Find the decimal number which is exactly halfway between 8.7 and 9.0
The cost of bowling is $5 per player for shoe rentals and $45 per hour to book a
lane. Suppose a group of f friends go bowling for h hours. Write an expression for
the total cost for the group of friends to go bowling.
Writing an expression consists of combining two or more variables, symbols, or numbers, with one or more mathematical operators to form a mathematical sentence that is based on a specific context
The expression for the total cost for bowling is 45·h + 5·f
The reason the above expression is correct is as follows:
The given parameters are;
The cost of shoe rentals for bowling per player = $5
The cost to book a lane per hour = $45
The number of people in the group of friends = f
The number of hours the friends go bowling = h
Required:
To write an expression for the total cost for the group of friends to go bowling
Solution:
Let the number of lanes the friends book= 1
The total cost, C, is the cost to book one lane at $45 per hour for h hours, plus the cost for the f number of friends to rent one shoe each at $5 per player (person)
Mathematically, C = 45·h + 5·f
The expression for the total cost for the group of friends to go bowling, is therefore;
45·h + 5·f
Learn more about mathematical expressions here:
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brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
PLEASEEE HELP!!!!!!!
Temperatures in Verkhoyansk, Russia have been recorded as low as -90°F and
as high as 98°F. What is the difference between the highest and lowest recorded
temperatures in Verkhoyansk?
Please Help! I will give you a lot of points if you do!
-It's NOT regular subtraction. You have to use Hindu-Arabic number system. If you don't and just use our regular number system then I will report you and give you a red flag
Answer:
377
Step-by-step explanation:
See attached.
Step-by-step explanation:
510 (base eight)
-111 (base eight)
___
377 (base eight)
(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
can someone explain how to do this? (I would like the answer, but an explanation on how you got it too) - R
Answer: When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese
(4yz)-3(x)
Y=4, z=2, x=-3
Answer:
=288
Step-by-step explanation:
(4yz)-3(x)
(4(4)(2))-3(-3)
(4x8)x9
32x9
288
Please answer now!
For 66 points!
Answer:
ok
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
ty for the points so very much
Question
Translate and solve 3084 is what percent of 24,99
Referring to the figure, find the area of the
trapezoid shown.
The shape is 2 triangles. Find the area of each one and add them together.
1/2 x 6 x 10 = 30
1/2 x 10 x 12 = 60
30 + 60 = 90
Area = 90 square inches
Area of Trapezoid = ½ (a + b) h
= ½ (12 + 6) 10
= ½ × 18 × 10
= 1 × 9 × 10
= 9 × 10
= 90 in.²
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.
[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]
[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]
[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]
[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]
[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]
[tex]\\ \sf\Rrightarrow -x-1[/tex]
Answer:
(f+g)(x) = -x - 1
Step-by-step explanation:
f(x)=3x−2
g(x)=−4x+1
(f+g)(x) = 3x -2 -4x+1
= -x - 1
Quadrilateral ABCD with parallel sides AB and
CD is shown below.
Quadrilateral RSTU is the image of quadrilateral ABCD after a transformation. Which statement is true?
B
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU
are not necessarily parallel.
If quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS
must be parallel or on the same line.
D
If quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not
necessarily parallel or on the same line.
If quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides
RS and T'U must be parallel.
Answer:
Option DStep-by-step explanation:
The rotation or reflection will change the direction of the image but the translation will leave the corresponding sides parallel.
Now the answer choices:
AIf quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides RS and TU are not necessarily parallel.
Incorrect. Since RS and TU are parallel sides of same figure, they will remain parallel regardless the mentioned transformation. BIf quadrilateral ABCD is reflected or rotated to form quadrilateral RSTU, then sides AB and RS must be parallel or on the same line.
Incorrect. Since AB and RS are corresponding sides of the figures, the rotation will result in different angle between those sides. CIf quadrilateral ABCD is translated to form quadrilateral RSTU, then sides AB and RS are not necessarily parallel or on the same line.
Incorrect. Since it is just a translation, the corresponding sides will remain parallel. DIf quadrilateral ABCD is reflected, rotated, or translated to form quadrilateral RSTU, then sides RS and T'U must be parallel.
Correct. Since RS and TU are parallel sides of the same figure, they must remain as is regardless the reflection, rotation or translation.In a class of 80 students, 45 are good in math,15 are good in both math and english,13 are good in both math and psychology,16 are good in both english &physchology ,20are good in physchology and 9 are good in all of the three .how many of them are good in mathematics
Answer:
26 students are good in mathematics only.
28 students are not good in any of the three courses.
What is the answer and method for this equation?
Answer:
X = 15/16
Step-by-step explanation:
2(4-8x) + 6 = -1
8 - 16x + 6 = -1
14 - 16x = -1
-16x = -1 -14
-16x = -15
X = 15/16
Answer:
[tex]2(4 - 8x) + 6 = - 1 \\ 8 - 16x + 6 = - 1 \\ - 16x = - 1 - 6 - 8 \\ - 16x = -15 \\ 16x = 15 \\ \boxed{x = \frac{15}{16} }[/tex]
x=15/16 is the right answer.what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
A circle is inscribed with 3 lines. Point x is at the center of the circle. A vertical line goes through point x to point z on the edge of the circle. A horizontal line goes through point x to point y on the edge of the circle. A diagonal line goes through point x to point w on the edge of the circle.
Which line segment is drawn in the figure?
Line segment Y Z
Line segment W Y
Line segment X Z
Line segment W Z
Answer:
the correct answer is
Line segment X Z
Answer:
Line segment X Z
Step-by-step explanation:
if (a°+10°)and (a°+20°)are supplementry angles ,find them
Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
solve for X
2x + 5 = 33
Answer:
X = 8
28
Step-by-step explanation:
Here Is How I did this problem:
33 - 5 = 28
X = 8
2x = 28
To Check my answer This is what I did:
28 + 5 = 33
Hope this helps! :)
Express the formula d = rt in terms of the time, t. Use your formula to find the time when the distance is 40 and the rate is 8.
A)t= 4; 1 = 5
B)t= ; t = 0.2
C)t = dr; t = 320
D)t = d-r; t = 32
Answer:
t = d/r; t = 5
Step-by-step explanation:
Hi there!
1) Isolate t
d = rt
Divide both sides by r
d/r = rt/r
d/r = t
t = d/r
2) Solve for t when distance is 40 and the rate is 8
t = d/r
Replace d with 40 and rate with 8
t = 40/8
t = 5
I hope this helps!
what is the mid point of (27,3) and (18,-1)
Answer:
(22.5 , 1)
Step-by-step explanation:
Midpoint formula= [tex]\frac{x^1+x^{2} }{2} +\frac{y^{1} +2^{2} }{2} =Midpoint[/tex]
[tex]\frac{27+18}{2}[/tex]=22.5
3+-1=2
2/2=1
So, midpoint is (22.5 , 1)
You can also graph it out and use Pythagorean theorem but that would overcomplicate the problem.
Help please and thank you
Answer:
16
Step-by-step explanation:
(x + 4)(x + 4) = x² + 8x + 16