In ΔBCD, \overline{BD} BD is extended through point D to point E, \text{m}\angle CDE = (9x-12)^{\circ}m∠CDE=(9x−12) ∘ , \text{m}\angle BCD = (2x+3)^{\circ}m∠BCD=(2x+3) ∘ , and \text{m}\angle DBC = (3x+5)^{\circ}m∠DBC=(3x+5) ∘ . Find \text{m}\angle BCD.M∠BCD.
Answers
Answer:
Angle BCD is 13 degrees
Step-by-step explanation:
Here, we want to find the measure of angle BCD
To get this, we need an appropriate diagram. The diagram can be seen in the attachment.
To find the value of BCD, we can use an important triangle theorem.
This is that the sum of opposite interior angles of a triangle equals the exterior angle.
Thus, we have that;
BCD + DBC = CDE
hence;
3x + 5 + 2x + 3 = 9x-12
5x + 8 = 9x -12
9x-5x = 8 + 12
4x = 20
x = 20/4
x = 5
So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13
Answer:
13°
Step-by-step explanation:
just solved on delta math
Related Questions
9=4(s-3)
Help me what’s the correct answer?
Answers
Answer:
s=5 1/4
Step-by-step explanation:
Have a wonderful day
Mikey and some of his friends went to play paintball yesterday. The park where they played charges $5.59 per game they play for each person. If Mikey brought 7 friends with him, and the total amount they paid was $178.88, how many games of paintball did they play?
A. 32
B. 5
C. 4
D. 22
Answers
4 games as:
5.59 * 8 = 44.72
178.88/44.72 = 4
Answer = C. 4
Mark as Brainliest please
Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
28,828,800
1,352,078
72,072
943,286,400
Answers
Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
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1. A is located ( 1,-1) and B is located (4,4) Find the coordinates of point p that partition
AB in the ratio 1:4. 03
Enter your answer
I
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Answers
Answer:
hi Krystal , I am Felicia
PLEASEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYY SOMEONEEEE
Answers
Answer: C = 30 - 3t
Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on
A line passes through the points (-3, -1) and (-5, 4). What is the slope.of this line
Answers
Answer:
-2/5
Step-by-step explanation:
[tex]y_{2} - y_{1} \\x_{2} -x_{1} \\4- -1= 5\\ -5--3=-2 \\y=-\frac{2}{5}[/tex]
tl;dr: The slope is -5/2.
Hello!
First, if you get graphing paper and place those points, you'll see that the line is going down instead of up. This tells us that the slope is negative.
Now, we use the rise/run strategy.
Doing so, we are given 5/2. Since this is a negative, the slope will actually be -5/2.
So, the slope is -5/2.
Hope this was helpful. Please, correct me if I got something incorrect. Have a great day!
Which of the following properly describe "slope"? Select all that apply.
2279
Y
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answers
Answer:
The answer is A, D, and E. The first answer and then the last two.
Step-by-step explanation:
The first answer and then the last two.
helpp please i need your helppppp
Answers
Answer:
1/2 or .5
Step-by-step explanation:
If you type in ur calculated you get .5 all you have to do is -.8 times by -5/8
Answer:
0.5
Step-by-step explanation:
27 is 25% of __? plz helpppp me Thia is worth all my brainly points
Answers
Answer:
27 is 25% of 108.
Step-by-step explanation:
A question like this is quite easy. You can multiply 27 by 4 to get 108.
That's the answer, hope it helps
Please help I have no clue how to do this
Answers
Answer:
D
Step-by-step explanation:
The Correct Answer Is D, You Will Estimate All Of Your Answers Up, And One Down.
Sally's soccer team played 25 games and won 17 of them. What percent did the team win
Answers
Answer:
68%
Step-by-step explanation:
Answer:
Sally's soccer team won 68% of the games they played.
In a medical research study, a researcher selects a hospital and interviews
all the patients that day. Which sampling method is being used?
Answers
Answer:
vtgg
Step-by-step explanation:
PLEASE SOMEONE HELPP ASAP
Answers
Solve for b: 3ab = -7
Answers
Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.
Hope this helps!!
You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.
Answers
Answer:
18 yards
Step-by-step explanation:
To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:
[tex] c^{2} = a^{2} + b^{2} [/tex]
Where:
c: is the length of the hypotenuse
a and b: are the length of the sides of the triangle
We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:
[tex] a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18 [/tex]
Therefore, the height of the kite is 18 yards.
I hope it helps you!
1. Convert 23,400 g into milliliters
Answers
Answer:same number i think
Step-by-step explanation:
True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False
Answers
Answer:
True.. :) Have a nice day.
Step-by-step explanation:
TRUE , the two system of equations are equivalent
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
We have two sets of equations
Let the first set of equation be A
Let the second set of equation be B
Equation set A :
6d + 4.5e = 16.5 be equation (1)
5d + 0.5e = 4 be equation (2)
Equation set B :
30d + 22.5e = 82.5 be equation (3)
5d + 0.5e = 4 be equation (4)
Now , we can see that Equation (3) is a multiple of Equation (1)
Multiply equation (1) by 5 , we get
5 ( 6d + 4.5e = 16.5 )
30d + 22.5e = 82.5 be equation (5)
Therefore , equation (5) = equation (3)
So , equation (1) = equation (3)
And , equation (2) = equation (4)
Therefore , Equation set A is equivalent to Equation set B
Hence , the two system of equations are equivalent
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The value of w varies directly with z. If z = 4, then w = 12. What is the value
of w when z = 6? (TEKS: A2D)
Answers
Answer:
18
Step-by-step explanation:
w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:
w = kz
When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:
12 = 4k
Dividing both sides by 4:
12/4 = 4k/4
k = 3
Therefore the equation becomes:
w = 3z
The value of w when z = 6 is given as:
w = 3(6)
w = 18
PLEASE HELP FAST
write an inequality and solve it
Answers
Answer:
1>2x
Step-by-step explanation:
1>2x
1/2= one half
2x/2= x
one half>x
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answers
Answer:
1) B
2) A
Step-by-step explanation:
B because we use pemdes and for 2 they answers are both equivalent
Answer:
1) B. Add/subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
To answer Part B, we have to answer to equation.
Step 1- Add x to both sides of the equation.
4x+2= 6-x
+x +x
5x+2= 6
Step 2- Subtract 2 to both sides of the equation.
5x+2= 6
-2 -2
5x= 4
Step 3- Divide 5 to both sides of the equation.
5x= 4
5 5
This gives us 4/5 or 0.80.
So, the answer is yes to Part B.
Hope this helps!
3 (4x - 2) - 30 = -6 (6 - 2x) - 20
A.Infinite Solutions/Identity
B.No Solution
C.x = 0
D.x = 1
show work please
Answers
Answer:
B.
Step-by-step explanation:
3(4x-2)-30=-6(6-2x)-20
12x-6-30=-36+12x-20
12x-36=12x-56
A bag contains 20 counters. 12 of the counters are green. A counter is picked at random. What is the probability that it is green? Give you answer as a fraction.
Answers
Answer:
12/20 since the counter of green is of 12 out of 20 to be drawn.
What is 6.92 x 10-3 written in standard form?
Answers
Answer:
6.92000
Step-by-step explanation:
because it has to be between q and 10
Select the correct answer.
The product of two numbers, x and I + 3, is 550. Which equation could be solved to find the value of the smaller number, x?
CA. 12 + 3.1 = 550
B. 12 + 3 = 550
C. 31 + 3 = 550
D. 322 = 500
Reset
Next
Answers
Answer:
the answer on plato is x^2+3=500
At the fabric store, you spent $51.30 for 15 yards of fabric. How much did each yard cost
Answers
State the solutions of the equation |x| + 2 = 4.
Answers
I think thats 2
Because 2+2=4
explanation: if you plug in 2 or -2 or x, then it would always become 2. this is because if you take the absolute value of any number, then it would become positive. this makes the equation true because 2 + 2 = 4
Duncan has 13 1/3 cups of sand. He divides the sand equally into 4 containers
Answers
Answer:
if you're asking how much sand is in each container, then
[tex]13 \frac{1}{3} \div 4 = 3 \frac{1}{3} \: cups \: of \: sand[/tex]
Answer um also very confused on this one AA.
Step-by-step explanation:
but i said 2 if your wondering.
Jason is going to a basketball game 5 miles away from his home. He has only 30 minutes to get there before the game starts. At what average speed must he ride his bike to get to the game on time?
Solve and answer in complete sentences!
Answers
Answer:
6 min
Step-by-step explanation:
Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?
Answers
A horseshoe with nails weighs 8.2 ounces. Six nails are in each horseshoe. Each nail weighs 0.2 ounces
What is the weight of the horseshoe without the nails?