Answers
The angle BCD = 120°
Further explanationGiven
A parallelogram and four angles
Required
Angle BCD
Solution
In A parallelogram
The sum of the four angles is 360°
Opposite angles are equal /congruent(A=C, B=D)
Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).
We choose a solution by using
Consecutive angles :
∠C+∠B=180°
18x=180°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Or we can use another ways :
The sum of the four angles is 360°
∠A+∠B+∠C+∠D=360°
12x+6x+12x+6x=360°
36x=360°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Related Questions
what is the coefficient
Answers
Answer:
coefficient of what?
Step-by-step explanation:
Which of the following correctly describes the graph of - 5/2 f(x)
Answers
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Gets Narrow, and opens opposite direction
Derrick withdrew $17 from his account on Monday. The next day he
deposited $12 in his account. What integer represents the total change in
his account over these two days?
Answers
Answer:
The total change in his account is represented by the integer -5
Step-by-step explanation:
Operations With Integers
We need to perform addition and subtraction to complete the answer to this problem.
Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.
The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.
The net operation or total change in the account is: -$17 + $12.
Subtracting and simplifying: -$17 + $12 = -$5
The total change in his account is represented by the integer -5
Gavin ran 2 3/5 miles in 7/12 of an hour. How many miles can Gavin run in one hour?
Answers
Answer:
First you find how many miles can Gavin run in 1/12 of an hour. That way you can use it to times 12 and to find 12/12 of an hour which is 1 hour.
Turn it into an improper fraction. 2×5=10 then add that 10 to the numerator 3 and it'll be 13/5 miles in 7/12 hours. Then divide it by 7.
[tex] \frac{13}{5} \div 7 = \\ \frac{13 }{5 \times 7} = \frac{13}{35} [/tex]
So 13/35 is how many miles Gavin runs in 1/12 of an hour. Now times is by 12 = 146/35
Or
[tex]4 \frac{6}{35} [/tex]
miles per hour
Solve the following question
Find X,Y
Please help I need this done by today.
Answers
Answer:
x = 3, y = 2
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{x}{6}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )
3x = 9 ( divide both sides by 3 )
x = 3
and
[tex]\frac{y}{4}[/tex] = [tex]\frac{1.5}{3}[/tex] ( cross- multiply )
3y = 6 ( divide both sides by 3 )
y = 2
which expression is equivalent to the given expression is no denominator equals zero?
Answers
Answer:
B: 4/d-6
Step-by-step explanation:
Plato answer
1) 8x + 4 + 9x + 6
O 17x + 10
27x
12x+ 15
o 178-10
Answers
Answer:
the answer is 17x+10
Step-by-step explanation:
ldentify the domain and range of each function.
y=3•5
The domain of this function is
The range of this function is
Answers
Answer:
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
A.) 0 to infinity
Y=4^x-5+3
The domain of this function is:
C.) Negative infinity to infinity
The range of this function is:
B.) 3 to infinity
Answer:
Answer:
Domain : R
Range : R
Step-by-step explanation:
The given function is or it can be written as y = 15x.
So, the function is valid for all real values of x and we will get the real value of y for each real value od x.
Hence, all the real numbers or R is the domain of the function.
And all the real numbers or R is the range of the given function. (Answer)
the domain is the set of x -values, the range is the set of y-values. I would have to say the domain is : R [ negative intinity, to infinity]. Equally, I would have to say the range is R [ Negative infinity, to infinity]
Step-by-step explanation:
Why, because no set is defined for either x or y.
I will give brainlest to the best answer!!!!
Answers
Answer:
-3,9
Step-by-step explanation
2 to -4 would take 6 units down and 8-1 is 7 and 7+2 is 9.
hope this helps!
What is the missing number in the equation?
3/10 x ? = 21/10
Answers
Answer:
7 , or 7/1
Step-by-step explanation:
Let ? = x. Set the equation:
(3/10)x = 21/10
Isolate the variable, x. Multiply 10/3 to both sides of the equation:
x * (3/10) * (10/3) = (21/10) * (10/3)
x = 21/10 * 10/3
Simplify the equation. Divide common factors from both the numerator and denominator, and then simplify:
x = (21 * 10)/(10 * 3)
x = (21/3) = 7/1 = 7
x = 7
21/10
Answer is 7
Abby's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Abby's curtain company wants to make 55 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Answers
Answer:
220 ft
Step-by-step explanation:
Given that:
Length of each curtain = 48 inches
Number of curtains required for Abby's curtain company = 55
Fabric of curtains is sold by the fabric store foot by foot.
Unit for conversion:
1 inch = [tex]\frac{1}{12}[/tex] foot
To find:
The fabric (in feet) needed by Abby.
Solution:
First of all, let us convert the length of each curtain (which is given in inches) to feet.
As per given hint:
1 inch = [tex]\frac{1}{12}[/tex] foot
48 inches = [tex]\frac{1}{12}[/tex] [tex]\times[/tex] 48 ft = 4 ft
So, length of one curtain is 4 ft.
Now, number of curtains required are 55.
Therefore, total length of curtains required can be found by multiplying the number of curtains with the length of one curtain.
Total length of curtain required = 55 [tex]\times[/tex] 4 = 220 ft
help please
Determine whether the triangles are congruent. If so, name the postulate or theorem that justifies your answer. If not, explain.
Are the triangles congruent or not congruent? If they are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.
Answers
The triangles are congruent by the SAS Postulate.
What are congruent triangles?A closed polygon made of three line portions shaping three points is known as a Triangle.
If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.
Given triangles
ΔUTS and ΔRTS
which shows
UT and RS are parallel
and TS is common side
so ∠UTS = ∠RST
by UT ║ RS (side)
∠UTS = ∠RST (angle)
TS = TS (common side)
ΔUTS ≅ ΔRTS
by SAS postulate
Hence Triangles are congruent.
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ2
If m
then m ABC = [ ? ]
ILL MARK WHATEVER ANSWER RIGHT BRAINLEST
Answers
Answer:
it is 120
Step-by-step explanation:
Guys please help me with this question
Answers
Answer:
Colin will have to wait for 2 hours for the pond to completely empty
Step-by-step explanation:
Volume of a Prism
The volume of a prism of base area Ab and height H is computed with the formula:
V=Ab.H
We are given a pond in the shape of a prism with a trapezoidal base (front view).
The area of a trapezoid of bases b1 and b2, and height a, is given by:
[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]
The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:
[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]
[tex]A_b=2\ m^2[/tex]
The height of the prism is H=1m, thus the volume of the pond is:
[tex]V=2\ m^2*1\ m[/tex]
[tex]V=2\ m^3[/tex]
It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:
[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]
The pond still has this volume of water:
[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]
The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in
[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]
Thus, Colin will have to wait for 2 hours for the pond to completely empty
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
___ milligrams
Answers
so
1360/.80 = x/1
Answer: 1700 milligrams
please help me on this!
Answers
Answer:
[tex] {9}^{ - 8} [/tex]
Step-by-step explanation:
[tex] \frac{ {9}^{ - 5} }{ {9}^{3} } [/tex]
[tex] {9}^{ - 5 - (3)} [/tex]
[tex] {9}^{ - 5 + (- 3)} [/tex]
[tex] {9}^{ - 8} [/tex]
for all values of x, f(x) = 2x and g(x) = x + 1
A) find f(3)
B) find gf(3)
Answers
Answer:
the correct answer is :
A) 2× 3 = 6
B) g(6) = 6 + 1 =7
What is 10290292029029298383746473536256353773637363763737373773736366363536536343637825231+100000
Answers
answer:
1.0290292e+82
Step-by-step explanation:
asked my bed
A store sells boxes of tissue that have 6 tissues in each box. The boxes are arranged 3 across and 4 deep on each shelf. How many tissues are on each shelf?
Answers
Number of boxes = 3 across x 4 deep = 12 total boxes.
Each box has 6 tissues.
Total tissues = 6 per box x 12 boxes = 72 tissues.
The perimeter of a triangle is 6p2-4p+9 and two of its adjacent side are p2 -2p+1 and 3p2-5p+3.Find the 3rd side
Answers
Answer:
C = 2p² + 3p - 5
Step-by-step explanation:
Let A & B denote the other two adjacent sides respectively.
Let the third side be denoted by C
Given the following data;
Perimeter of triangle = 6p² - 4p + 9
Length of one side = p² - 2p + 1
Length of one side = 3p² - 5p + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
P = A + B + C
6p² - 4p + 9 = p² - 2p + 1 + 3p² - 5p + 3 + C
6p² - 4p + 9 = 4p² - 7p + 4 + C
C = 2p² + 3p - 5
Simplify 7/3 - 4 V6 + 48 - 54.
(20 points)
Answers
Answer:
option B
Step-by-step explanation:
7 sq rt 3 cannot be simplified
4 sq rt 6 cannot be simplified
sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3
sq rt 54 = (sq rt 9 · sq rt 6) = 3 · sq rt 6
combine each pair of like terms: (7 sq rt 3 + 4 sq rt 3) = 11 sq rt 3
(-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6
Erica has 8 squares of felt, each with area 16. For a certain craft project she cuts the largest circle possible from each square felt. What is the combined area of the excess felt left over after cutting out all the circles?
A) 4(4-π)
B) 8(4-π)
C) 8(π−2)
D) 32(4-π)
E) 16(16-π)
Answers
Answer:
Concept: Area Analysis
Given: 8 sq of felt They have an area of 16 each.We want to maximize the area of a circle without cutting outside the square.So we can have a circle with diameter 8 Hence 4(4-pi)Traveling on the express train from New York to Baltimore takes approximately 2 hours and 45 minutes. The local train travels the same route from New York to Baltimore and takes approximately 3 hours and 40 minutes. Rounding to the nearest tenth, how many times as long is the journey time of the local train as the journey time of the express train?
Answers
Answer:
The local train's journey time is 1.3 times as long as the journey time of the express train.
Step-by-step explanation:
Given that:
Travelling time of express train = 2 hours and 45 minutes
We will convert this time into minutes
Travelling time of express train = 2*60 + 45 = 120+45 = 165 minutes
Travelling time of local train = 3 hours and 40 minutes = 220 minutes
Let,
n be the number of times.
Local train travelling time = Number of times * Express train travelling time
220 = n * 165
Dividing both sides by 165
[tex]\frac{220}{165}=\frac{165n}{165}\\1.3 = n[/tex]
Hence,
The local train's journey time is 1.3 times as long as the journey time of the express train.
Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.
Answers
Answer:
Chad's claim is incorrect
Step-by-step explanation:
The homework problems that complete the question are:
[tex]3x^2.2x^4[/tex]
[tex]5 - 2x = 3x[/tex]
[tex]3(2x + 7)[/tex]
[tex]7x^2 +2x -3x^2 -9[/tex]
[tex]\frac{2}{3} = \frac{x+2}{6}[/tex]
Required
Is Char right?
From the homework problems above, there are 5 mathematical problems
So:
Chad's claim that he had 5 equations.
A mathematical expression is an equation if it has an = sign
So for Chad's claim to be correct; at least 4 of the mathematical problems must have an = sign
By the explanation done above, we have the following observations
[tex]3x^2.2x^4[/tex] -> No Equation
[tex]5 - 2x = 3x[/tex] -> Equation
[tex]3(2x + 7)[/tex] -> No Equation
[tex]7x^2 +2x -3x^2 -9[/tex] -> No Equation
[tex]\frac{2}{3} = \frac{x+2}{6}[/tex] -> Equation
Apparently, only 2 of the 5 problems are equation.
Hence, Chad's claim is incorrect.
What is the probability of not picking a red face card when you draw a card at random from a pack of 52 cards?
Answers
Answer:
3/13
Step-by-step explanation:
Answer:
13/3
Step-by-step explanation: There are 6 red face cards in all red cards
Total number of possible outcomes=26
P (red face card) =
26/6=3/13
Solve 4(2x/3+8)=40 X=?
Side note: 2x/3 is a fraction
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Undo what has been done to the variable.
4(2x/3 +8) = 40
2x/3 +8 = 10 . . . . . divide by 4
2x/3 = 2 . . . . . . . . . subtract 8
x = 3 . . . . . . . . . . . . multiply by 3/2
Solve nine times two thirds .
Leave your answer as an improper fraction. (4 points)
a
eleven twenty sevenths
b
eighteen twenty sevenths
c
eleven thirds
d
eighteen thirds
Answers
Answer: D eighteen thirds
Step-by-step explanation:
You can aslo solve it as 9/1 *2/3 all you would need to do is multiply 9*2 with is eighteen
Answer:
it should be 18/3
Step-by-step explanation:
Figure ABCD is a trapezoid. Find
the value of x.
Answers
Answer:
Step-by-step explanation:
because we have a kite,
AB=AD
4x=x+15
4x-x=15
3x=15
x=5
A movie theater charges $6 for one adult ticket and $3 for a child ticket. One night, the movie theater earned a total of $1, 428 from tickets sold. If 56 more children than adults attended the movie theater that evening, how many children attended
Answers
Answer:
The answer is A
Step-by-step explanation:
if one leg of a right triangle is 12 and the other leg is 16, what is the length of the hypotenuse in this right triangle?
Answers
Answer:
20
Step-by-step explanation:
Since I am given two values of the triangle, I will input the equation a²+b²=c².
"c" represents the hypotenuse. First I plug in the values of the legs, 12²+16²=c². Next I simplify these values to 144+256=c², which is 400=c². Finally I take the square root from both the value and the variable: √400=√c² which is equivalent to 20=c. Therefore, the hypotenuse is 20. Hopefully this helps :)