Answers
1. m<C = 48°.
2. <X = <Y.
Explanation :<ABD = <CDB = 62°
<BDA = <DBC = 70°
<DBC + <BCD + <CDB = 180°
70° + <BCD + 62° = 180°
132° + <BCD = 180°
<BCD = 180° - 132°
<BCD = 48°
m<C = 48°
The triangle is a right triangle. If ZX = ZY then <X = <Y
Related Questions
Need to do this Help please
Answers
Answer:
Step-by-step explanation:
Now e have two figures
1 is ABCD and other is APQD ,
Now to find g and f,
Now the are both figure is ,
Area = length * width
Area ABCD = 39 cm^2
AB* BC = 39
(g+7) * ( f) = 39Again,
Area APQD = AP*QD= 16 cm ^2
(g)*(f)=16from here f =16/g putt it in above equation we get ,
(g+7)*16/g = 39
16*g-39*g+96 =0
-23g +96 = 0
g = 96/23
g =3 cm
Now for f putt in one of the above equation ,
f =16/3
f =5.33 cm
Answer:
f = 3cm g = 6cm
Step-by-step explanation: to find f
Subtract the area of APQD from ABCD then divide by 7
f = (39 - 18)/7
f = 21/7
f = 3
To find g, divide the area of APQD by 3
18/3 = 6
We can do this because of the givens: ABCD is a rectangle, PQ is parallel to AD, so BC=AD=PQ
A rectangle is 3 meters wide and 10
meters long. How long is the diagonal
of the rectangle?
Answers
a^2 + b^2 = c^2
A-15.1
B-13
Answer:
Diagonal = 10.44 m
Step-by-step explanation:
(3×3)+(10×10) = 109
Sq rt 109 = 10.44 m
Jane has 5.8 pints of juice.
Tim has 8.4 pints of juice.
About how many pints do they have ir
all?
Answers
Answer:
144 cups-14 pints
Step-by-step explanation:
Can you help me with the income statement?
Answers
Find the solution of the system of equations.
10x – 2y = 44
-2x - 9y = 10
Answers
Answer:
Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs
Answer:
10x=44+2y
x=44+2y/10.....eq(i)
-9y=10+ 2x
-Y=10+2X/9....eq(ii)
Then solve by eq(i) and eq(ii)
Use the table to write a linear function that relates Y to X
Answers
Answer:
y = 3/4x + 10
Step-by-step explanation:
The equation of a line is y = slope * x + y-intercept
To find the slope, you choose two points and do (y1-y2)/(x1-x2): Point 1 can be (4,13) and point 2 can be (8,16) so, slope = (13-16)/(4-8) = -3/-4 = 3/4
The y-intercept is the value of y when x is 0, so it would be 10.
Put it together and you get y = 3/4x + 10
Find the slope of the line.
Slope = type your answer...
Answers
Answer:
slope= (-1)
...................
When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your friend has rigged up some fireworks to be set off when you win. When you win, he sets off the fireworks every time. When you don't win, he accidentally sets off the fireworks 10% of the time. If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
Answers
Answer:
0.2275 = 22.75% probability that you actually won that round
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Fireworks going off
Event B: You won
Probability of fireworks going off.
100% of 1/35 = 0.0286(when you win)
10% of 34/35 = 0.9714(you lost). So
[tex]P(A) = 0.0286 + 0.1*0.9714 = 0.12574[/tex]
Probability of you winning and fireworks going off:
100% of 1/35, so [tex]P(A \cap B) = 0.0286[/tex]
If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275[/tex]
0.2275 = 22.75% probability that you actually won that round
Please find the value of x
Answers
Answer: x = 118
Step-by-step explanation:
What is the total surface area of the square pyramid in square inches?
Height is 11 in. Base is 7 in. Side Length is 11.5
PLEASE DO THIS QUICKLY
Answers
Answer:
Step-by-step explanation:
I assume that "side length" means the slant height of one of the triangular faces.
area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in
lateral area = all four triangles = 161 in²
base area = 7² = 49 in²
total surface area = lateral area + base area = 161+49 = 210 in²
The area of the pyramid is 1.4625 ft²
What is a Square Pyramid?If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8
Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.
The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:
SA = BA + (4 × FA)
=[tex]a^2+a\sqrt{a^2+4h^2}[/tex]
Where a= base length and height = h
Thus inputting the values we get
SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]
=49+7√533
=210.60 in²
Thus in ft.² we have 1.4625 ft²
Learn more about the pyramid here:
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The present age of Andy and Mike are in the ratio 5:3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy would have been 3 times the age of Mike. Find their present age
Answers
Answer: Andy is 35 and Mike is 21.
Step-by-step explanation:
Andy’s present age: Mike’s present age
= 5:3
Andy’s age in “if”: Mike’s age in “if”
=6:2
1 unit = 7
5 unit = 35 (Andy’s age)
3 unit = 21 (Mike’s age)
Is it the 2nd and 3rd one? I don't entirely understand
Answers
Answer:
Statements 1, 2, or 4 each imply a rectangle. Check all three.
Step-by-step explanation:
Help me out with one as well too please
Answers
Answer:
107° is answer
x+73=180(cointerior angle)
x=180-73=107°
Find an explicit formula for the geometric sequence -1,-7,-49,-343,.... Note : the first term should be d(1) . d(n) =
Answers
Answer:
dn = -7^n-1Step-by-step explanation:
Given the sequence -1,-7,-49,-343,....
We are to find the nth term of the sequence
dn = ar^n-1
a is the first term = -1
r is the common ration = -7/-1 = -49/-7 = 7
n is the number of terms
Substitute
dn = -1(7)^n-1
dn = -7^n-1
hence the nth term of the sequence is dn = -7^n-1
Write an equation of the line that passes through the pair of points.
(0, – 4), (5, – 4)
Answers
Answer:
[tex]y = -4[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0, -4)[/tex]
[tex](x_2,y_2) = (5, -4)[/tex]
Required
Determine the equation
First, calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]
[tex]m = \frac{-4 +4}{5}[/tex]
[tex]m = \frac{0}{5}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_2[/tex]
This gives:
[tex]y = 0(x - 0)-4[/tex]
[tex]y = 0-4[/tex]
[tex]y = -4[/tex]
heres the clearer version
Answers
Answer:
The midpoint of FH is (3;1)
Step-by-step explanation:
Find the probability.
There are three nickels, four dimes, and five quarters in your pocket. You randomly pick
a coin. It is a nickel or a dime.
Answers
Answer:
0.583
Step-by-step explanation:
You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).
There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.
7/12 simplifies to 0.583.
You have a 0.583% chance of picking either a nickel or a dime.
The volume of a cylinder is 225π cm³ and its height is 9 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
cm
Answers
Answer:
5cm
Step-by-step explanation:
Given data
volume = 225π cm³
Height= 9cm
r= ???
Volume of cylinder
v=πr^2h
substitute
225π= π*r^2*9
225= r^2*9
r^2= 225/9
r^2= 25
r= √25
r= 5cm
Hence the radius is 5cm
-x²-2x+7=-17 help lol
Answers
A rectangular box without a top is have a volume of 12 cubic feet. Find the dimensions of
the box that will have minimum surface area.
Answers
We treat A as a function of the variables and b and equating its partial derivatives with respect to a and b to 0. This gives {-64/(a^2)}+b=0, which means b=64/a^2. Since A(a,b) is symmetric in a and b, partial differentiation with respect to b gives a=64/b^2, ==>a=64[(a^2)/64}^2 =(a^4)/64. From this we get a=0 or a^3=64, which has the only real solution a=4. From the above relations or by symmetry, we get b=0 or b=4. For a=0 or b=0, the value of V is 0 and so are inadmissible. For a=4=b, we get h=32/ab =32/16 = 2.
Therefore the box has length and breadth as 4 ft each and a height of 2 ft.
-2(4 - 0) = 12x – 3
How is this solved
Answers
Answer: x = − 5 12
Step-by-step explanation: yeetus
OR
x = -0.416 (6 repeating)
isolate the variable by dividing each side by factors that don’t contain the variable
If you are making a cake for a work potluck, and the recipe calls for 2 cups of flour to serve 8 people, how many cups of flour will you need in order to make a large enough cake to serve 30 people?
Answers
Answer:-
7.5 cups of flour is required for 30 people
Step-by-step explanation:-
2 cups = 8 people
x cups = 30 people
[ Cross multiply ]
=> 2×30 = x × 8
=> (2 × 30)/8 = x
=> 60/8 = x
=> 7.5 cups = x
Thus, for 30 people 7.5 cups of flour is required.
Hope this helps you.
Factor the expression using the GCF. 25b+50
Answers
PLSS PLSS HELP ME I REALLY DONT UNDERSTAND THIS
Answers
Translate the sentence into an equation. Five more than the quotient of a number and 6 is equal to 2. Use the variable w for the unknown number.
Answers
Answer:
The equation that represents the sentence is W + 6 + 5 = 2.
Step-by-step explanation:
Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:
W + 6 + 5 = 2
W = 2 - 5 - 6
W = -9
Therefore, the unknown number is -9.
In this diagram, two perpendicular lines and two rays intersect at point T. What is the measure, in degrees, of angle QTR?
A. 24
B. 28
C. 32
D. 48
Answers
Answer:
QTR = 24
Step-by-step explanation:
Since lines are perpendicular the total sum is 90 for all three angles
90=42+2x+x
48=2x+x
48=3x
16=x
QTR=2x=2(16)=32
A truck driver drove 13 hours and earned $520. What is the hourly rate?
Answers
Answer:
$40
Step-by-step explanation:
520/13=40
Answer:
Step-by-step explanation:
[tex]\frac{\$ 520}{13hr}=\$40/hr[/tex]
Reduce/Simplify the fraction in its lowest terms.
24/48
Answers
[tex] \frac{24}{48} [/tex]
To find:The lowest term of the given fraction by simplifying.
Solution:[tex] \frac{24}{48} [/tex]
[tex] = \frac{24 \div 24}{48 \div 24} [/tex]
[tex] = \frac{1}{2} [/tex]
Is negative 6 a rational number
Answers
Yes, negative 6 a rational number because it can be represented as a fraction of two integers.
A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.
It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.
The number -6 can be expressed as -6/1.
Here, -6 is the numerator and 1 is the denominator.
Both the numerator and denominator are integers, and the denominator is not zero.
Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.
To learn more on Number system click:
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write a function of least degree to model this graph with the final answer in factored form.
Answers
Answer 1 maybe
Step-by-step explanati