PLs, help me with this math question, and please answer if you only know it.
Answers
Answer:
Step-by-step explanation:
This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.
First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.
Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,
∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).
If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then
∠5 = 100° . Angles 4 and 5 are supplementary, therefore,
∠4 = 80°
Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so
∠6 = 30°
Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that
∠2 ≅ ∠3 = 50°
Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,
∠7 = 25°
Related Questions
Find the measures of the interior angles of the triangle
Answers
Answer:
45°, 110° & 25°
Step-by-step explanation:
We know,
x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)
or, 2x + 90 = 180°
or, 2x = 90°
∴ x = 45°
Now,
∡A = x° = 45°
∡B = x +65° = 45° + 65° = 110°
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
Answers
Explanation:
Earlier it said the first sandbox has a SQUARE base and its side length is 8 feet. Its asking for the area of the square base, so follow this formula:
Side length^2
In this case is:
8^2 = 64
MARK ME BRAINLIEST TYSM
Have a nice day (*^ω^*)
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
To know more about an area follow
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Please answer this math question please and fast
Answers
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answers
Answer:
Hello!!!Step-by-step explanation:
The first step for solving this expression is to remove the first set of parenthesis.
-8.3x+4 - (3.2x-5)
Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following
-8.3x + 4 - 3.2x + 5
Collect the like terms with an x variable.
-11.5x + 4 + 5
Lastly, add the number to get your final answer
-11.5x + 9
Hope that helps you dear...
Have a nice day..
Buhbye!
someone help as soon as possible pls
Answers
Answer:
Check the explanation below please! :)
Step-by-step explanation:
"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The color options for each item are: yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections."
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i need the answer!!! please
Answers
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
Answers
Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
Copyright © 2009 aon cells Corporation. All Rights Reserved.
search
Answers
Answer:
Substitution
Step-by-step explanation:
For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12
What is the midpoint of the segment?It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.
We have:
Point B is the midpoint of segment AC and
Segment AC = 12
Prove: Segment AB = 6
The statement(5):
AB+AB = AC (here BC is substituted by AC)
So the reason is substitution.
The statement(6):
AB + AB = 12 (here AC is substituted by 12)
So the reason is a substitute.
Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12
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Hlw Gøød Mørnîng.....Plz guys solve this immediately......
Answers
Answer:
The remainder is 7
Step-by-step explanation:
What we have to do here is to set g(x) to zero and solve for x
The value of x is then substituted into the polynomial p(x)
we have this as follows;
x-1 = 0
x = 1
P(1) = 1^3 -6(1)^2 + 9(1) + 3
P(1) = 1 - 6 + 9 + 3
P(1) = 7
This value is the remainder
The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
Answers
Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct
Solve −18=6+6x .
x = __
Answers
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answers
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answers
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.
Answers
Answer:
18 cm
Step-by-step explanation:
Since the pyramids are similar then the ratio of corresponding sides are equal, that is
12 ÷ 4 = 3
Then the height of the larger pyramid is 3 times the height of the smaller.
height of larger pyramid = 3 × 6 = 18 cm
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answers
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
help me on this question
Answers
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
simplify the following expression by combining like terms. select the most simplified expression: 2w +5w-6+4w
Answers
Answer:
Step-by-step explanation:
2w+5w-6+4w
=10w+4w-6
=14w-6
=2(7w-3)
Answer:
[tex]11w - 6[/tex]
Step-by-step explanation:
[tex]2w + 5w + 4w = 11w[/tex]
[tex]11w - 6[/tex]
The circle below is centered at the origin and has a radius of 10. What is its
equation?
Answers
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The general form of the equation of a circle is
(x-h)^2+(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2+ (y-0)^2 = 10^2
x^2 + y^2 = 100
HELP ASAP
Solve the equation for x.
3x - 5x + 4 = 10 x =
PLEASE ANSWER STEP BY STEP
Answers
Answer:
X=-3
Step-by-step explanation:
3x-5x+4=10
-2x=6
x=-3
note: I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.
Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)
Answers
Answer:
[tex] \displaystyle 172.1 ft[/tex]
Step-by-step explanation:
refer the attachment
let the string be hypotenuse and
the height be h And the angle be 35°
given that,
hypotenuse:300ftangle:35°since we are given the hypotenuse and want to figure out the opposite side we'll use sin function
so our equation would be
[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]
cross multiplication:
[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]
by using calculator we obtain:
[tex] \displaystyle h = 172.1[/tex]
hence,
about 172.1ft far up the tree is the kite
Hope this help!!!
Have a nice day!!!
what is eight less than a number as an algebraic expression
Answers
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answers
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
please help!! I'm stuck on this
Answers
Answer:
D
Step-by-step explanation:
According to the volume formula, you multiply length x width x height
Answer:
D; 1*9*4
Step-by-step explanation:
Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.
May you help me with this❤️
Answers
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?
Answers
Answer:
Parallelogram has greater area.
Step-by-step explanation:
Given:
Base of parallelogram = 9 km
Height of parallelogram = 5 km
Base of triangle = 6 km
Height of triangle = 3 km
Find:
Greater area
Computation:
Area of parallelogram = Base x Height
Area of parallelogram = 9 x 5
Area of parallelogram = 45 km²
Area of triangle = (1/2)(b)(h)
Area of triangle = (1/2)(6)(3)
Area of triangle = (1/2)(18)
Area of triangle = 9 km²
Parallelogram has greater area.
the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answers
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answers
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
find the slope for me please (2, -5) (7, -5)
Answers
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answers
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
3 in.
Find the radius and diameter of the circle.
Radius =
Diameter =
Answers
Answer:
Step-by-step explanation:
radius=3 in.
diameter=2r
=2*3
=6 in.
Radius = 3 inches
Diameter = 6 inches
Explanation:-The given radius is 3 inches.
We know that diameter is twice the radius. So,
Diameter = 2r
= 2×3
= 6 inches