line cd in DE are tangent to circle a shown below ifCE is 130° what is the measure of angle CDE
20°
40°
42.5°
50°
Answers
Answer:
m<CDE = 50°
Step-by-step explanation:
Recall: when an angle is formed outside a circle by two tangents, the angle formed = ½(the difference between the measures of the intercepted arcs), based on the outside angles theorem.
This implies that:
m<CDE = ½(Arc CBE - Arc CE)
Arc CE = 130°
Arc CBE = 360° - 130° = 230°
Plug in the values
m<CDE = ½(230 - 130)
m<CDE = ½(100)
m<CDE = 50°
The measure of angle m<CDE is 50 degrees
Circle geometryFrom the diagram shown, the angle at the vertex is equal to half the difference of the angles at the intercepted arc.
Given
Angles at the arcs are 130 and 230 (360 - 130)Angle at the vertex = m<CDEm<CDE = 1/2(230-130)
m<CDE = 1/2(100)
m<CD = 50 degrees
Hence the measure of angle m<CDE is 50 degrees
Learn more on circle geometry here: https://brainly.com/question/24375372
Related Questions
Of the 68 students on a field trip 17 students bring a camera. What percent of the students bring cameras?
Answers
Answer: 25%
Step-by-step explanation:
Given
Total students on a field trip are 68
Out of 68, only brings the camera
The percentage of students that bring the camera is given by
[tex]\Rightarrow \dfrac{17}{68}\times 100\\\\\Rightarrow \dfrac{1}{4}\times 100=25\%[/tex]
Thus, only 25% of students bring a camera.
Find the value of x
PLEASE HELP MEE
Answers
Answer:
no idea- I would say the answer is 4 but i don't know if the triangles are similar or not
Step-by-step explanation:
Answer:
Step-by-step explanation:
What Math skill is that ?
i might be able to help you
i cant figure this out.
Answers
Maddy is 1.5 meters tall. how many centimeters tall is maddy
Answers
Answer:
150cm...........................
Answer:
maddy is 150 centimeters tall.
Step-by-step explanation:
"there are 100 centimeters in 1 meter, so in 1.5 meters, there are 150 centimeters."
hope this helps <3
Will mark brainly nest if you know the answer and explanation
Btw I'm a weeb you?
Answers
x + 1 / x^3 - x
Factor out x from the expression
x + 1 / xx(x^2 - 1)
Use a^2 - b^2 = (a - b)(a + b) to factor the expression
x + 1 / x • (x - 1) • (x + 1)
Reduce the fraction with x+ 1
1 / x • (x - 1)
Distribute x through the parentheses
1 / x^2 - x
:)
An arithmetic progression consists of 37 terms. The sum of the first 3 terms of
it is 12 and the sum of its last-3 terms is 318, then find the first and last terms
of the progression.
Answers
Answers:
First term = 1Last term (37th term) = 109=======================================================
Explanation:
a1 = first term
a2 = second term
a3 = third term
and so on, until we reach a37 to represent the 37th term
We don't know the first term, but we'll call it x for now. We'll also let d be the difference between each adjacent term, aka the common difference.
Meaning that,
a1 = xa2 = a1+d = x+da3 = a2+d = (x+d)+d = x+2da4 = a3+d = (x+2d)+d = x+3dand so on, until,
a35 = x+34da36 = x+35da37 = x+36d---------------------
Add up the first three terms (a1 through a3) and set the sum equal to 12
Then do a bit of algebra to get
a1+a2+a3 = 12
(x)+(x+d)+(x+2d) = 12
3x+3d = 12
3(x+d) = 12
x+d = 12/3
x+d = 4
x = 4-d
Do the same for the last three terms, but the sum here is 318
a35+a36+a37 = 318
(x+34d)+(x+35d)+(x+36d) = 318
3x+105d = 318
3(x) + 105d = 318
3(4-d)+105d = 318 .... replace x with 4-d; isolate d
12-3d+105d = 318
102d+12 = 318
102d = 318-12
102d = 306
d = 306/102
d = 3
The common difference is 3. It means each term is increasing by 3.
Use this value of d to find x
x = 4-d
x = 4-3
x = 1
The first term is 1. That makes the second term x+d = 1+3 = 4, then the third term is x+2d = 1+2*3 = 7, and so on.
The sum of the first three terms is 1+4+7 = 12. That helps partly confirm the answer.
Also we have,
a35 = x+34d = 1+34(3) = 103a36 = x+35d = 1+35(3) = 106a37 = x+36d = 1+36(3) = 109 is the last term (37th term)Or you could note that the 35th term is 103, and then you increase by 3 each time to get the remaining two terms.
The last part of the confirmation is adding up those three last terms: 103+106+109 = 318, so the answer is fully verified at this point.
Side note: An arithmetic sequence never ends. There technically is no "last term"; however, since we're confined to focusing on these specific 37 terms, we can get away with using the phrasing.
The graph shows four points on the line and the triangles resulting from sketching on the rise and run from one point to the next. Viewing the graph or R-value as a transversal to the rise and run segments, are the two pairs of corresponding angles along the transversal congruent? Explain.
Answers
____________________________________________________________
How much simple interest is earned in 9 months on a deposit of $7,000 at 4%
simple interest. (Hint I=Prt where P is in dollars, r is the rate as a decimal, and t is
time in years.) *
Answers
Step-by-step explanation:
I=?
P=$7000
R=4% or 0.04
T=9
I=($7000)(0.04)(9)
(7000)(0.04)= 280
280*9= $2520
the interest after nine months is $2520
Hope this helped
1 cm 12 cm 1 cm Find the volume of the rectangular prism.
Answers
Answer:
12 cm^3
Step-by-step explanation:
12 x 1 x 1 =12
Annie buys greeting cards each card cost 1.75 she pays with a twenty dollar bill how many cards did she buy
Answers
Answer:
11
Step-by-step explanation:
20 divided by 1.75= 11.42
Elijah and Jonathan play on the same soccer team. They have played 3 of their 15 games. They each create a model to represent x, the number of games their team has left
to play. Their models are shown below. Explain whether each model is correct.
PLS PLS PLS HELP
Answers
what are the optionsss??
HELP
ANGLE S = ___ DEGREES
Answers
Answer:
Maybe I'm just really tired and seeing things, but is the answer not ∠S=45°?
Answer:
hey friend!
im pretty sure that S= 45 degrees
PS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
if its wrong please tell me so I can edit it
it is currently 4:56 AM where I live
I AM VERY TIRED AND SLEEPY
Step-by-step explanation:
Name the conic section formed when a plane cuts a right circular cone parallel to its base.
1) circle
2)parabola
3)ellipse
4) hyperbola
Will mark it the brainliest plsss fast!
Answers
Answer:
option 1.
circle
Step-by-step explanation:
A section is formed when a solid shape is sliced into two. A conic section is therefore formed when a cone, is sliced into two.
What determines the shape of the section now, is the angle at which the cone was sliced.
Normally, the base of a cone is a circle. If we slice a cone using a straight line, which runs parallel to its base, we will still get another perfect cone, but with a smaller height.
If we look at the flat portion of the cone after it has been sliced, we will see that the cross-section is a circle.
find the measure of x in the figure. show your work. answer asap please
Answers
Answer:
A straight line is 180° , so if you subtract 60 from 180 you get 120, and you divide 120 by 6 so the answer is 20
Answer:
x= 20
Step-by-step explanation:
Both angles form a linear pair = 180 o
6x+60 = 180
6x = 120
x = 20
6x20 +60 = 180
120 +60 = 180
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answers
Answer:
A and B are functions
Step-by-step explanation:
for A, none of the x's repeat which makes it a FUNCTION
for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)
for C, 10 repeats for the x so it is NOT A FUNCTION
which number is equivalent to 1/9?
Answers
Any 2 numbers that you divide and have the ratio 1:9
The radius of a circle is 11 miles. What is the circle's area?
P=11 mi
Use 3.14 for n.
square miles
Submit
Answers
Answer:
The circle's area is 380.13 square miles.
Step-by-step explanation:
A = pie * r^2 = pie * 11^2 = 380.13
I hope this somewhat helped you find your answer.
Answer:
379.94
Step-by-step explanation:
3.14 x (11x11) = 379.94
PLEASE HELP ME ON THIS
Answers
Answer:
BStep-by-step explanation:
it increased by two inches from noon to 1pm and increased another two inches from 3pm - 4pm
to prepare for a final exam Corine studied for 2 1/2 hours. Levon studied for 2/3 as long as Corine. How long did Levon study?
Answers
Answer:
1 2/3 hours Levon studied.
Step-by-step explanation:
2/3 as long = multiply by 2 1/2 of the time.
2.5 x 2/3 = 1.66666667
Simplify:
1.66666667 = 1 2/3
Answer:
Corine= 2 1/2 hours
Levon= 1 2/3 hours
Find the volume of the prism.
A. 578.8 ft
B. 552.9 ft
C. 598.1 ft
D. 591.5 ft
Answers
Answer:
591.5 [tex]ft^{3}[/tex]
Step-by-step explanation:
Volume = length x width x height
Length = 13 ft. Because it is the same size has the height
Width = 7 ft.
Height = 13 ft.
13ft x 13ft x 7ft = 1,183 ft
BUT, that can't be the answer because we're solving a prism
So divide the volume.
1,183 divided by 2 equals 591.5
what’s the slope of the line ? plz help
Answers
Answer:
2/3
Hope that this helps!
which options below has a negative value?
-0.25
-1.5
-(4.5)
-19.5
Answers
hello please help i’ll give brainliest
Answers
Answer:
The last one
Step-by-step explanation:
Burning of fossil fuels
If I look in my closet before I go to school, I have 5 pants
options, 12 shirt options, and 3 shoe options; then how
many possible outfits could I have if I choose one of each?
Answers
Answer: 180 possible outfits
Step-by-step explanation:
so basically you're gonna multiply each option by the other, making 5 different ways you could combine pants with that one type of shirt and so on. That gives you 5 x 12 x 3 which is 180
what multiplies to be -30 and adds to equal 13
Answers
Answer:
15 and -2
Step-by-step explanation:
Can someone plz help me with this one problem plzzzzz
It’s ratios not that hard plss help!!!
Answers
Answer:
24:16
Step-by-step explanation:
HELP THIS IS DUE IN 4 MINSSSS
Answers
Answer:
1) 5
2) -6
3) -4x^2/y^3
Step-by-step explanation:
hope this helps u :D
can somebody please help me??
The circumference is about ___ cm.
i would really appreciate it thank you
Answers
[tex]\sf\purple{Radius\:of\:the\:circle}[/tex] = 7 cm.
To find:-[tex]\sf\red{The\:circumference\:of\:the\:circle.}[/tex]
Solution:-[tex]\sf\blue{The\:circumference\:of\:the\:circle\:is\:43.96\:cm.✅}[/tex]
Step-by-step explanation:-
Let "r" be the radius of the circle.
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle}[/tex] =
[tex]2 \: \pi \: r \\ = 2 \times 3.14 \times 7 \: cm \\ = 43.96 \: cm[/tex]
[tex]{\boxed{\mathcal{\red{Hence,\:the\:circumference\:of\:the\:circle\:is\:43.96\:cm.}}}}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Choose the equation of the line that is equal to the x-axis.
A x=4
B x+y=0
C x=y
D y=4
If anyone could help, I'd really appreciate it!
Answers
Answer:
C) x=y
hope it helps.
stay safe healthy and happy.3) Determine the numbers of solutions for 4x + 8 = 12x.
Answers
Answer:
x = 1
Step-by-step explanation:
4x + 8 = 12x
4 (1) + 8 = 12 (1)
4 + 8 = 12
12 = 12
your answer is x = 1
Answer:
4x+8=12x
8=8x subtract 4 on both sides
1=x divide by 8 on both sides
hopes this helps
have a good day :)
Step-by-step explanation: