Answer:
see explanation
Step-by-step explanation:
∠ ABY and ∠ CBY are adjacent and supplementary, thus
x + 25 + 2x + 50 = 180, that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ CBY = 2x + 50 = 2(35) + 50 = 70 + 50 = 120°
∠ BEF = ∠ CBY ( corresponding angles )
∠ BEF = 120°
Thus AC and DF are parallel lines
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Answer:
C. Lincoln Forest is at sea level
Step-by-step explanation:
Elevation above sea level is indicated for several points in the table
Positive number indicates points above, negative number indicates points below, zero elevation indicated points at sea level
So, the answer for Lincoln Forest is:
C. Lincoln Forest is at sea levelGiven: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D
Answer:
m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°
Step-by-step explanation:
[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\
\therefore \angle BKA = 90\degree \\
In\:\triangle BKA, \\\\
\cos \angle A = \frac{AK}{AB}\\\\
\cos \angle A = \frac{3}{6}\\\\
\cos \angle A = \frac{1}{2}\\\\
\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\
\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]
Since, adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \angle A + \angle B = 180\degree \\
\therefore 60\degree + \angle B = 180\degree \\
\therefore \angle B = 180\degree - 60\degree\\
\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore \angle C = \angle A
\\
\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\
\therefore \angle D = \angle B
\\
\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]
What value represents the horizontal translation from the graph of the parent function f(x)2 to the graph of the function g(x)=
(x-4)²+2?
-4
-2.
2
04
Answer:
4
Step-by-step explanation:
I graphed the functions on the graph below so you can see that the horizontal translation is represented by 4.
HELP ASAP PLEASE!!! Solve: 3x – 2y when x = 2 and y = 10. A. 5 B. -14 C. -12 D. NONE OF THESE E. 16
Answer:
3x - 2y
= 3(2) - 2(10)
= 6 - 20
= -14
the answer is C
Answer:
[tex]x=2[/tex]
[tex]y=10[/tex]
So the multiply 3 × 2
[tex]3 * 2=6[/tex]
Then multiply 2 × 10
[tex]2 * 10=20[/tex]
Then subtract 6 - 20.
This shows that the answer will be negative.
[tex]6-20= -14[/tex]
So the answer is [tex]-14[/tex]
Hope this helps
(^▽^)
Divide x^3 - x - 6 by x - 2
Answer:
x^2 +2x + 3
Step-by-step explanation:
x^3 - x -6 / x-2
Step one - FACTOR x^3:
(x-2)(x^2+2x+3) / x-2
Step two - CANCEL the common factor of x-2
x^2+2x+3
chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π. 184π sq. in. 76π sq. in. 168π sq. in. 88π sq. in.
Answer:
(B) [tex]76\pi$ sq. in.[/tex]
Step-by-step explanation:
Since the base of the cone and one circular face of the cylinder is not visible,
The surface area of the rocket=Base Area of the Cylinder+Lateral area of the Cylinder+Lateral Area of the Cone+
[tex]R$adius =4 Inches\\Height of the cylinder =5 Inches\\Therefore:\text{Lateral area of a Cylinder+Base Area of the Cylinder}=2\pi rh+\pi r^2\\=(2\times \pi \times 4 \times 5)+(\pi \times 4^2)\\=40\pi+16\pi \\=56\pi$ sq. in.[/tex]
Lateral Area of a Cone [tex]=\pi rl[/tex]
Base radius, r= 8/2 =4 InchesPerpendicular Height of the Cone = 3 InchesUsing Pythagoras theorem:
[tex]Hypotenuse =\sqrt{opposite^2+adjacent^2} \\=\sqrt{3^2+4^2} \\=\sqrt{25}\\ =5 in.[/tex]
Slant Height of the Cone, l (Hypotenuse) = 5 InchesTherefore: Lateral Area of a Cone [tex]=\pi \times 4\times 5 =20\pi$ sq. in.[/tex]
Therefore, Surface area of the rocket
[tex]=56\pi+20\pi\\=76\pi$ sq. in.[/tex]
Answer:
The answer is 76π sq. in.
Step-by-step explanation:
Took the quiz and that was correct.
What do a kite and a rhombus have in common?
Answer:
Their diagonals intersect at right angles
They are quadrilaterals
Opposite angles are equal
Step-by-step explanation:
Answer:
their shapes
Step-by-step explanation:
they have same corners
Lexie has dimes and ten dollar bills in her pocket. The number of dimes is six more than two times the number of ten dollar bills. Let t represent the number of ten dollar bills. Write an expression for the number of dimes
Answer:
d=6+2t
Step-by-step explanation:
Let
t=number of ten dollar bills
d=number of dimes
Number of dimes is six more than two times the number of ten dollar bills
d=6+2*t
d=6+2t
What is the slope of a line that is perpendicular to the line 2y – 3x = 8
Answer:
The slope is 3/2 and the y intercept is 4
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -3x=8
Add 3x to each side
2y-3x+3x= 8+3x
2y = 3x+8
Divide by 2
2y/2 = 3/2x +8/2
y = 3/2x +4
The slope is 3/2 and the y intercept is 4
simplify 23p-7p what is the answer to the question which I desire
Answer:
16p
Step-by-step explanation:
23p-7p
Factor out p.
p(23-7)
Subtract the terms.
p(16)
Multiply.
= 16p
Which equation would you use to solve the problem," Four less than the product of 3 and a number is 15"
A) 3n - 4 = — 15
B) 3 (n - 4) = — 15
C) 4 - 3n = — 15
D) 4(3n - 4) = 15
Answer:
The correct option is a) 3n - 4 = 15
Step-by-step explanation:
The product of 3 and a number means 3 multiplied by a number (n)
So it'll be 3*n or simply 3n
Now, it says 4 less than the product
So 4 less than 3n
That is equal to 3n minus 4 or 3n -4
So we come to the conclusion that
3n - 4 = 15
Hope this helps!
Harun and Anis have m boys and n girls. How many children do they have?
10
9
8
7
6
5
B
C
4
3
B
с
D.
D'
3
4
5
6.
7
8
9 10
A
D
-2 1-1
X
1-2
What is the length of BB'?
EP
70112 3141516171819
Answer:
22 length is the answer
FOR 15 POINTS Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary. 0.9 3.4 5.1 20.2
Answer:
3.4
Step-by-step explanation:
0.5x+4.2=5.9
Subtract 4.2 from both sides:
0.5x=1.7
Divide both sides by 0.5:
x=3.4
Hope this helps!
Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned
Answer:
20%=3800 => all of it is 19000
i didn't undrestand what do you want
sorry:)
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17
Answer:
Can you show a picture?
Step-by-step explanation:
Thanks.
Uh, one second I got to put the picture ;-;
Answer:
92°
Step-by-step explanation:
In ΔKLM, the measure of ∠M=90°, KL = 7 feet, and LM = 4 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
<K = 34.8°
Step-by-step explanation:
sin K = 4/7
K = [tex]sin^{-1}[/tex] (4/7)
<K = 34.8°
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 100-ft radius? use 3.14
Answer:
157Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
[tex]C= 2\pi r[/tex]
Given
r= 100
[tex]C= 2*3.142*100\\C= 628.4 ft[/tex]
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is [tex]\frac{628.4}{4} = 157.1[/tex]
Approximately the number of flowers is 157
Answer:157
Step-by-step explanation:
A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
What is the interquartile range (IQR) of the data set? 3,4,8,11,14,15,16
Answer:
11
Step-by-step explanation:
all you gotta do is subtract q3 from q1, in this case it's 15-4=11
what is the quotient -3/8 and -1/3
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
In order to find the answer to this question you will have to use KCF (Keep, Change, Flip) on the equation and then multiply.
[tex]-\frac{3}{8} \div-\frac{1}{3}[/tex]
Use KCF:
[tex]-\frac{3}{8} \times-\frac{3}{1}[/tex]
Now multiply:
Negative times a negative equals a positive.
[tex]3\times3=9[/tex]
[tex]8\times1=8[/tex]
[tex]=\frac{9}{8}[/tex]
Hope this helps.
Answer: 9/8
Explanation: It's important to understand that dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction.
So our problem can be rewritten as (-3/8) · (-3/1).
Remember that a negatives times a negative is a positive.
So (-3/8) · (-3/1) is 9/8.
Remember, multiply across the top and bottom.
Write the point-slope equation for each line with the given slope and point. y –y1 = m(x – x1) Slope = 5 Point on line = (–1, 3)
Answer:
[tex]y-3=5(x+1)[/tex]
Step-by-step explanation:
Point-Slope form is: [tex]y-y_1=m(x-x_1)[/tex]
'm' - Slope
(x1, y1) - Point Coordinate
We are given the point of (-1,3) and the slope of 5.
Replace 'm' with 5, 'x1' with -1, and 'y1' with 3:
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-3=5(x+1)}[/tex]
The Math Club is ordering food to be delivered to their meeting. They have a coupon for $10 off their order, and each member contributes an additional $5 for the food. The expression 5n + 10 represents the total amount they can spend on their order. Why would it not make sense to substitute 12.125 for n in this expression? A n represents the number of members, so it must be a whole number. B 5n represents the number of members, so n must be a whole number. C n represents an amount of money, so it cannot have more than two decimal places. D 5n represents an amount of money, so n cannot have more than two decimal places.
Answer:
A. n represents the number of members, so it must be a whole number.
Step-by-step explanation:
Since 12.125 is a decimal, it would not make sense to substitute 12.125 for n in the expression. You cannot have 1/8 of a person. Since each member is contributing an additional $5, the expression will show n as the variable representing the number of members in the Math Club. Each member is giving 5, so 5n + 10, the 10 being the coupon they have for $10 off. This expression shows how much money the entire group has.
Answer:
A
Step-by-step explanation:
Mary has walked 8 km, which is 55% of the total distance she will walk. How much farther does Mary need to walk?
Answer:
6 6/11 km
Step-by-step explanation:
8 = 0.55x
160/11=x
160/11-8=6 6/11 km
can i have some help please?
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°
What is 2x-4. I really don’t understand
Answer:
2 * -4 = -8
Step-by-step explanation:
2 * -4 = -8
It is just like multiplying two numbers like... 2 * 4 = 8
You must need to know that:
+a * -b = -c
-a * -b = +c
+a * +b = +c
In your question;
+a * -b = -c
a = 2
b = -4
c = -8
therefore:
2 * -4 = -8
In bowling, knocking down all of the pins with the first ball of a frame is called a strike. Roni is practicing bowling and gets a strike times out of attempts. Her goal is to have a minimum strike rate of . Which inequality could Roni use to determine the minimum number of consecutive strikes she needs to achieve her goal?
Answer:
[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]
At least 6 strikes
Step-by-step explanation:
The required numerical data is missing from the question. In the original question, Roni gets a strike 2 out of 10 times and her goal is to have a minimum strike rate of 50%. The number of consecutive strikes required is given by the following inequality:
[tex]0.50 \leq \frac{x+2}{x+10}\\[/tex]
Solving the inequality:
[tex]0.5x+5 \leq x+2\\3\leq0.5x\\x\geq6[/tex]
Roni needs at least 6 strikes.
After 6 strikes, she would have 8 out of 16, which equals exactly 50%.