type the correct answer in the box.use numeral instead of words. if necessary, use / for the fraction bar.
Answers
Since the total degrees of a triangle's angles should add up to 180°, let's add the given angles and then subtract that from 180.
83 + 34 = 117°
180 - 117 = 63°
So, the angle BCD is 63°.
Hope that helped!
Related Questions
round 49,953 to the nearest hundred
Answers
What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it
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Write an equition that expresses y in terms of x
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y on the left side is expressed in terms of x on the right side.
In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
5 finalists. In how many different ways can the 3 medals be awarded?
Answers
60 ways
Explanation
In permutation the order really matters unlike combination where order does not matter.
The question wants you to find how many time you can choose 3 out of 5 with order.
This means we should find 5 permutation 3.
5P3=5!/3!
=(5×4×3×2×1)/(3×2×1)=5×4
=60
Answer:
60 ways
Step-by-step explanation:
There are five finalist and 3 medals.
For getting the first medal, there are 5 choices, any of the finalist can get that.
For getting the second medal, we are left with 4 choices.
For getting the third medal we are left with 3 choices.
Hence, the number of ways 3 medals can be awarded are:
5×4×3=60 ways
maurice has a string that is 15 inches long. he has beads that are 3 inches long. how many beads will fit on the string?
Answers
What is the volume of this right triangular prism?
A.)144.2 cm3
B.)164.8 cm3
C.) 288.4 cm3
D.) 1153.6 cm3
Answers
Hope this helps:)
= 0.5* 7 *4* 10.3 =144.2 cm3
Tony Hawk was the first skateboarder to do a “900,” a rotation of 900°. How many times did he rotate on the skateboard? times 8. Each arm of this pinwheel is the image of another arm rotated
Answers
900 / 360 = 2.5 rotations
The area of a rectangular knitted blanket is 15x2-14x-8. What are the possible dimensions of the blanket? Use factoring.
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Final answer:
The area of a rectangular blanket is 15x² - 14x - 8, and by factoring this expression, we find the possible dimensions to be (5x + 2) units by (3x - 4) units. The variable x represents a dimension and must be a positive value so that the actual dimensions are also positive.
Explanation:
The student is asking about the possible dimensions of a rectangular knitted blanket whose area is given by the polynomial 15x² - 14x - 8. To find the dimensions of the blanket, we need to factor this quadratic expression. Factoring is the process of breaking down a complex expression into simpler ones that, when multiplied together, give the original expression.
Let's factor the given expression:
Find two numbers whose product is 15 (coefficient of x²) multiplied by -8 (constant term) and whose sum is -14 (coefficient of x). These numbers are -20 and +6.Rewrite the middle term (-14x) using the numbers found: 15x² - 20x + 6x - 8.Factor by grouping: (15x² - 20x) + (6x - 8) = 5x(3x - 4) + 2(3x - 4).The expression can now be factored as (5x + 2)(3x - 4).The factored form suggests that the rectangle's dimensions could be (5x + 2) units by (3x - 4) units, where x is a variable representing one of the dimensions. However, since the values of x need to make physical sense in the context of a blanket's size, x will need to be a positive value such that (5x + 2) and (3x - 4) are also positive.
Rewrite the set
F
by listing its elements. Make sure to use the appropriate set notation.
=
F
x
x
is an integer and
<
−
2
≤
x
2
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Please help (click to veiw photo)
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m = 300x + 100, so we substitute that into the equation for m.
300x + 100 - n
n = 250x + 200, so we substitute that into the equation for n.
300x + 100 - 250x - 200
Subtract the 250x to get:
50x + 100 - 200
Subtract the 200 to get:
50x - 100, which is option D.
Hope this helps!
Name a fraction that is less than or greater than the given fraction draw to justify your answer
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Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?
Answers
Hope this helped☺☺
-(m-6)=3m+14 what is m
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[tex] - m + 6 = 3m + 14[/tex]
[tex] - 4m = 8[/tex]
[tex]m = - 2[/tex]
write the equation of the parabola below
Answers
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
Percy buys tomatoes that cost $0.58 per pound. He pays $2.03 for the tomatoes. Part 1 out of 3 Percy estimates he bought 4 pounds of tomatoes. Is Percy's estimate reasonable? Complete the explanation.
Answers
Percy's estimate is not unreasonable, but it is somewhat high (by more than 10%).
The cost, 0.58/lb, is closer to 0.6, a number that would cause Percy to estimate his purchase at 20/6 = 3 1/3 pounds.
When estimating, it is often useful to make an estimate of the error. This last estimate will be a little low, by about 3% due to the estimated cost and 1.5% due to the estimated total amount paid, for a total of about 4.5% low.
PLZ HELP!
at the apple orchard workers were asked to put 100 apples in barrels. the following five were filled incorrectly. if the supervisor wrote +5 above a barrel, it meant that the barrel was 5 apples over, -5 meant that a barrel was 5 apples less than 100.
How many TOTAL apples are i the five barrels?
a -480 apples
b 498 apples
c 500 apples
d 520 apples
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if side a=22.3 and angle b=47 ,find c.
A.24.6
B.25.1
C.31.5
D. 32.9
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Answer:
D. 32.9
Step-by-step explanation:
PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5
Answers
5x-3=5 Group like terms
5x=8 Add 3 to the end to isolate x
x=1.6 Divide 8 by 5
Hope this helped
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
Answers
The system of equations that could be used to solve the problem is 7(x - y) = 120; 4.5(x + y) = 120. option A
which of the following system of equations could be used to solve the problem?
If
x is the speed of the boat is still water
y is the speed of the current
7(x - y) = 120
4.5(x + y) = 120
Therefore, the system of equation can be rewritten as;
7x - 7y = 120
4.5x + 4.5y = 120
Complete question:
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
A. 7(x - y) = 120; 4.5(x + y) = 120
B. 7(x + y) = 120; 4.5(x + y) = 120
C. 7(x - y) = 120; 4.5(x - y) = 120
D. 7(x + y) = 120; 4.5(x + y) = 120
If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?
A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x
Answers
The formatting is not proper in the options C and D. Only 1 option can be the correct answer.
If the options are:
[tex]C) x^{6} - x^{4} +9x \\ \\ D) 5x^{2} -3^{x} [/tex]
Then option C would be the correct answer as in option D variable is in the exponent which is against the definition of polynomial function.
If the options are:
[tex]C) x^{6} - x^{4} +9^{x} \\ \\ D) 5x^{2} -3x[/tex]
Then option D would be the correct answer as in option C variable is in the exponent which is against the definition of polynomial function.
Options C and D are correct
Explanation:
We are given that both functions a(x) and b(x) are polynomial.
This means that adding them will also produce a polynomial function
polynomial a(x) + polynomial b(x) = polynomial c(x)
Now, let's check the given options:
Option A:
e² + 2
This is a exponential function. An exponential function is not a polynomial. Therefore, this option is incorrect
Option B:
x² + 2x - log(x)
This is a logarithmic function. A logarithmic function is not a polynomila.
Therefore, this option is incorrect
Option C:
x⁶ - x⁴ + 9x
This is a polynomial of the 6th degree.
Therefore, this option is correct
Option D:
5x² - 3x
This is a polynomial of the second degree.
Therefore, this option is correct
Based on the above, options C and D are both correct options
Hope this helps :)
A three dimensional object was sliced parallel to its base and the result was a triangular cross-section.The same shape resulted from slicing the object perpendicular to its base.What three dimensional object fits this description?
Answers
Answer:
The answer is below!
Step-by-step explanation:
A cone is the three-dimensional shape that gives a triangular cross-section when sliced either parallel or perpendicular to its base.
Explanation:The three-dimensional shape that fits the description of producing a triangular cross-section when sliced both parallel and perpendicular to its base is a cone.
A cone is a solid that has a circular base and a single vertex. When a cone is sliced parallel to its base, the cross-section is a circle. When a cone is sliced perpendicular to its base, the cross-section is a triangle, specifically a right triangle. The right triangle results from the slice passing through the vertex and the base of the cone.
Learn more about Cone here:https://brainly.com/question/10670510
#SPJ11
Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?
Answers
Simplify each expression. Select the correct answer from the drop-down menu.
−6(3i)(−2i) =
2(3 − i)(−2 + 4i) =
Answers
2(3-I)(-2+4i)= -4 + 28i
the answer is:
−6(3i)(−2i) = -36
2(3 − i)(−2 + 4i) = -4+28i
2i(4 − 5i) = 10+8i
hope this helps! :o)
Evaluate. 6+5|4-3^2| A. -19 C. 31 D. 55
Answers
Answer:
6 + 5|4 - 3²| =
6 + 5|4 - 9| =
6 + 5|-5| =
6 + 5(5) =
6 + 25 = 31
The correct answer is C.
[tex](4y + 4x) = [/tex]
What is the sum of y and x
Answers
4x + 4y = 0
Solving
4x + 4y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4y' to each side of the equation.
4x + 4y + -4y = 0 + -4y
Combine like terms:
4y + -4y = 0
4x + 0 = 0 + -4y
4x = 0 + -4y
Remove the zero:
4x = -4y
Divide each side by '4'.
x = -1y
Simplifying
x = -1y
an art easel with equal sides are opened and placed on a desk, classify the type of triangle formed by the easel and the desk
Answers
Pls help me lots of points
Answers
Answer:
2 m&ms and 1 hershey's bar
Step-by-step explanation:
A bag of fruit contains 3 apples, 2 oranges, 1 banana and 4 pears. What is the probability that I will pull out a banana first and a pear second?
Answers
What is the value of G in the center and how do you solve it?
Answers
7 + 3c = -11 --> c = -6
-9 - a/4 = 5 --> a = -56
b/5 +9 = 6 --> b = 75
second, solve:
a/f = -7 --> substitute -56 in for a --> -56/f = -7 --> f = 8
b/e = 3 --> substitute 75 in for b --> 75/e = 3 --> e = 25
3 = c/d --> substitutie -6 in for c --> 3 = -6/d --> d = -2
third solve:
g = d+e+f --> substitute -2 in for d, 25 in for e, and 8 in for f.
g = -2 + 25+8
g = 31
3 = c/d => d = c/3
7+3c = -11 => 3c = -11 - 7 => 3c = -18 => c = -18/3 => c = -6.
Now d = c/3 => d = -6/3 => d = -2.
Lets now find out e:
b/e = 3 => e = b/3
b/5 + 9 = 6 => b = (6-9)*5 => b = -15
Now e = b/3 => e = -15/3 = -5
Now we need to find f:
a/f = -7 => f = a/-7
-9 - a/4 =5 => a= (-9-5)*4 = -56
Now f = a/-7 => f = -56 / -7 = 8
So g = d + e + f
= (-2) + (-5) + 8
= 1
Therefore g = 1
You and your friend are standing back to back. Your friend runs 20 feet forward and then 15 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball