Given:
A figure of a circle with secants intersecting inside the circle.
To find:
The value of x.
Solution:
According to the intersection theorem of secants, if two secants intersect each other inside the circle, then the angle on the intersection is the average of the intercepted arcs.
Using the intersection theorem of secants, we get
[tex]x^\circ=\dfrac{1}{2}(35^\circ+103^\circ)[/tex]
[tex]x^\circ=\dfrac{1}{2}(138^\circ)[/tex]
[tex]x^\circ=69^\circ[/tex]
[tex]x=69[/tex]
Therefore, the value of x is 69.
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
Learn more about cost price here:
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helllllllllllllllllllllllllllllp
Answer:
36,579.5180
Step-by-step explanationan:
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answer:
-2, -1
Step-by-step explanation:
Ashley had a summer Lemonade Stand where she sold small cups of lemonade for $1.25 and large cups of lemonade for $2.50 if Ashley sold a total of 150 cups of lemonade for $265 how many cups of each type did she sell
Answer:
Step-by-step explanation:
S and L are the number of small cups and large cups, respectively.
S + L = 150
L = 150 - S
1.25S + 2.50L = 265
1.25S + 2.50(150-S) = 265
1.25S - 2.50S + 375 = 265
S = 88
L = 150-S = 62
I dont know how to do this pls help me
x = 36 Answer
By Pythagoras Theorem
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
What is the answer of this equation?
100 = r + 10
Answer:
90 + 10 = 100 ;-;
Step-by-step explanation:
please help me with this ! i need to turn this asap !!!
Graph the function f(x) =0.5x2− 2x− 2. Find the axis of symmetry, the vertex, and the y-intercept.
I need help pls thank you
Blah blah
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
Nicole has 18 nickels n and dimes d. If the value of her coins is $1.45, how many of each coin does she
have?
Answer:
19 nickel = .95
5 dimes = .50
Step-by-step explanation:
.95 + .50 = 1.45
Find the measure of the indicated angle. Round to the nearest degree.
21
33
Answer:
The angle is 50 degrees
Step-by-step explanation:
Sine = Opposite / Hypotenuse
Sine ? = 21 / 33
21 / 33 = 0.6363
Cos-1 of 0.6363 is 50.4788
Round to the nearest degree
50.4788 = 50
sine^- 1 21/33 = θ
Answer: Approximately 0.7 or 70 degrees.
Find the answer:
f(k-8) = 1/2(k-8)-4
Answer:
f = (k - 16) / (2k - 16)
k = (16f - 16) / (2f - 1)
Step-by-step explanation:
f(k-8) = 1/2(k-8)-4
Solve for f:
Divide both sides by (k-8)
f = (k - 16) / (2k - 16)
Solve for k:
Subtract 1/2 * k from both sides.
fk - 8f - (1/2)k = -8
Add 8f to both sides.
fk - 1/2*k = k * (2f - 1)/2 = 8f -8
Divide both sides by (2f - 1)/2
k = (16f - 16) / (2f - 1)
plz help me with this question
Someone help with the second question
Pleaseeeee
Answer:
Answer shown above.
Have a good day
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
Which expression is equivalent to the one below?
14(2x + 4)
Answer:
Step-by-step explanation:
14(2x+4)
14(2(x+2))
28(x+2) or
28x+56
Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)
Step-by-step explanation:
Distribute 14 to both 2x and 4.
14(2x+4) = 14(2x) + 14(4)
=28x + 56
Please give me the correct answer.Only answer if you're very good at math.
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
What is the area of the figure?
Answer:
The shape has a total area of 14.96cm²
Step-by-step explanation:
To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.
The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².
Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.
We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:
5.6cm - 1.2cm - 0.8cm = 3.6cm
Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².
The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
omg! please help! it’s due in 4 hours and i don’t know the answers to it
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
Answer: b
Step-by-step explanation: hope this helps
Rewrite 1/20 and 2/25 to get a common denominator
Area of Shape please !!!
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
Ratio and simplify the ratio helpp
Solve the equation. 1/3a = -5
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
what is the slope of the line if the equation is 5x-3y=9
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
solve the x. 4x+9=2x-1
Answer:
The answer is x = -5.
Step-by-step explanation:
1) Subtract 2x from both sides.
[tex]4x + 9 - 2x = - 1[/tex]
2) Simplify 4x + 9 - 2x to 2x + 9.
[tex]2x + 9 = - 1[/tex]
3) Subtract 9 from both sides.
[tex]2x = - 1 - 9[/tex]
4) Simplify - 1 - 9 to -10.
[tex]2x = - 10[/tex]
5) Divide both sides by 2.
[tex]x = - \frac{10}{2} [/tex]
6) Simplify 10/2 to 5.
[tex]x = - 5[/tex]
Therefor, the answer is x = -5.
3. Malala bought a 5-pound bag of dog food. She feeds her dog 1/3 pound of dog food every day. How many days will the bag of food last
it will last for five days