Triangle ABC is shown with its inscribed circle drawn. The measure of angle ECF is 72 degrees. What is the measure of angle EGF? Explain or show your reasoning.
Answers
Answer:
108°
Step-by-step explanation:
CB and CA are tangents to the circle at points E and F respectively. GE and GF are radii of the circle with center G.
Since, radii of a circle are perpendicular to the tangents at the point of contacts.
[tex] \therefore GE \perp CB\\\\
\& \:GF \perp CA\\\\
m\angle GEC =m\angle GFC = 90\degree \\\\[/tex]
In quadrilateral GECF, by interior angle sum property:
[tex] m\angle C + m\angle E + m\angle F + m\angle EGF = 360\degree \\\\
\therefore 72\degree + 90\degree + 90\degree + m\angle EGF = 360\degree \\\\
\therefore 252\degree + m\angle EGF = 360\degree \\\\
\therefore m\angle EGF = 360\degree - 252\degree \\\\
\therefore m\angle EGF = 108\degree \\[/tex]
Answer:
108°Step-by-step explanation:
Since GE ⊥ BC and GF ⊥ AC,∠GEC = ∠GFC = 90°Sum of 4 angles is 360°, therefore:
∠ECF + ∠EGF = 360° - 180°∠EGF = 180° - 72° ∠EGF = 108°Related Questions
I need help again please
Answers
Answer:
6. Would be Sports City
Step-by-step explanation:
Take 180*.15= 27
Subtract 27 from 180 and you get 153.
200*.20=40
Subtract 40 from 200 and you get 160.
For 5 just multiply the discounted price by 2.
I hope I answered your question.
Round $24.76 to the nearest $10.00.
A. $20.00
B. $24.00
C. $25.00
D. $30.00
Answers
Answer:
20.00
Step-by-step explanation:
a because 4 and under would round to 0
Answer:
A
Step-by-step explanation:
24.76 would round down to the nearest $10
Since it is not 25, 30 would not be the right answer so that leaves 20 as the correct answer.
The online price for a box of hair clips is $2.60. For any number of boxes purchased, the cost of shipping is $12. The equation c=2.60b + 12 represents the total cost, c, of ordering b boxes of hair clips. If Mrs. Hilton orders 32 boxes of hair clips, what is the total cost? (6.EE.C.9)
Answers
Answer:
$43.2Step-by-step explanation:
Step one:
given data
the total cost function is
c=2.60b + 12
Step two:
Required is c, when b= 12
substitute b=12 we have
c=2.60(12) + 12
c=31.2+ 12
c=43.2
the total cost = $43.2
Which describes the correlation shown in the scatterplot?
A. There is a positive linear correlation.
B. There is a negative linear correlation.
C. There is no positive or negative correlation.
D. There is a nonlinear correlation.
Answers
Answer:
C.There is no positive or negative correlation.
Step-by-step explanation:
finished Unit Test and got it correct
Answer:
C. There is no positive or negative correlation.
Step-by-step explanation:
as you can see, it is straight up and down :))
A triangle has one angle that measures 58 degrees, one angle that measures 50 degrees, and one angle that measures
72 degrees.
What kind of triangle is it?
O A right triangle
OB. acute triangle
OC. equilateral triangle
OD
obtuse triangle
Answers
Answer:
an acute triangle - all 3 angles are less than 90 degrees.
Step-by-step explanation:
Which graph has a solution set in Quadrant III?
QI
Qll
QIII
QIV
Answers
Answer:
3rd I think
Step-by-step explanation:
Answer:
QIII
Step-by-step explanation:
the solutions is where both shaded regions overlap
the top right square is quadrant I
the top left square is quadrant II
the bottom left square is quadrant III
and the bottom right square is quadrant IV
Which is an equivalent equation solved for the slope, m? m = yx + b m = m equals StartFraction y minus b Over x EndFraction. m = m equals StartFraction y Over x EndFraction minus b. – b m = y – m equals y minus StartFraction b Over x EndFraction.
Answers
Answer:
m equals StartFraction y minus b Over x EndFraction
Step-by-step explanation:
The standard equation of a line is expressed as;
y = MX+b where;
m is the slope
cmb is the intercept
We are to get the equivalent expression for finding the slope.
Make m the subject of the formula to get this as shown;
From the equation;
y =MX+b
Subtract c from both sides;
y-b = MX+b-b
MX = y-b
Divide through by x;
mx/x = (y-b)/x
m = (y-b)/x
Heme the required expression is m = (y-b)/x OR m equals StartFraction y minus b Over x EndFraction
Answer:
Answer B. ( I hope)
Step-by-step explanation:
Mary can read 22 pages in 30 minutes. How long would it take her to read a 100 page book? Write your answer in hours and minutes
Answers
Answer:
Step-by-step explanation:
Step one:
given data
we are told that Mary can read 22 pages in 30 minutes (0.5 hours)
let us find the number of pages per minute she can read
rate= quantity/time
rate= 22/30
rate=0.73 pages per minute
or
rate= 22/0.5
rate= 44 pages per hour
Step two:
Required
time taken to read 100 pages
t= quantity/rate
t=100/0.73
t=136 pages per minute
or
t= 100/44
t=2.3 pages per hour
Please help! I’ll give brainliest!
Answers
Answer:
27 degrees withI think angle sum postulate
Step-by-step explanation:
Answer:
27 degrees The postulates used are FGT and FGH
Step-by-step explanation:
FGH is 180 degrees. FGT is 153 degrees. So 180-153 is 27. plz make due on yuor brainliest promise thank you
Simplify the expression.
5/2(6x - 7) + 4/3(2 + 9x)
Answers
Answer: 27x - 89/6
Step-by-step explanation:
Answer:
30-35/2+36+8/3
Helppppppppppppppppp
Answers
Answer:
same
Step-by-step explanation:
Which number line shows the solution to
11x + 14 < –8?
Answers
Answer:
D
Step-by-step explanation:
Answer:
tis d
Step-by-step explanation:
What's the answer to this problem 2x + 1=11
Answers
Answer:
5
Step-by-step explanation:
first u subtract the 1 from both sides and leaves u with 2x=10 then divide on both sides and you get 5
Step-by-step explanation:
2x+2=11
2x=11-2
2x=9
divide both sides by 2
therefore the answer is 4.5
Which statement describes a unit rate? * 5 points Mary paid $2.50 for 3 bottles of water. Ricardo paid $17.00 for 3 pumpkins. Katherine paid $1.25 for 1 bottle of water. Joshua paid $6.00 for 3 masks.
Answers
Answer:
Katherine paid $1.25 for 1 bottle of water.Step-by-step explanation:
What is the unit rate?In this context, a unit rate is defined as the amount in dollars paid for one unit of a commodity.
In the given options, all the items are above one except
option C( Katherine paid $1.25 for 1 bottle of water.)
hence all the other amount does not correspond to the unit rate
Mary paid $2.50 for 3 bottles of water. not a aunit rate
Ricardo paid $17.00 for 3 pumpkins. not a unit rate
Katherine paid $1.25 for 1 bottle of water. a unit rate
Joshua paid $6.00 for 3 masks. not a unit rate
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
Answers
Answer:
(I am not sure what the question means but according to what I understood I got these as my answers)
33 pounds = 55%
114 = 240 %
95% = 57 pounds
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Answers
yes
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Can someone PLZ HELP ME ON THIS!
Answers
Solve z = -10x, for x.
Answers
Answer:
B
Step-by-step explanation:
z = -10x
z + 10 = -10x + 10 = x
Answer: D
If z = -10x, we can divide both sides of the equation by -10 to get z/(-10) = x. This is the same as [tex]x=-\frac{z}{10}[/tex].
Jamal hiked on two trails. The first trail was 8 1 3 miles long, and the second trail was 1 3 5 times as long as the first trail. How many miles did Jamal hike? Enter your answer as a mixed number in simplest form.
Answers
Answer:Total distance( miles ) covered by Jamal =21 2/3 miles
Step-by-step explanation:
Step 1
first trail = 8 1/3 miles long
2nd trail = 1 3/5 times as long as the first
Therefore the distance walked in the 2nd trail is 1 3/5 x 8 1/3
changing to improper fraction and solving
=8/5 x 25/3= 40/3
The distance hiked by Jamal in the second trail = 40/3=13 1/3
Step 2
Total distance( miles ) covered by Jamal = first trail +2nd trail
= 8 1/3 + 13 1/3 =21 2/3 miles
Answer:
21 2/3 miles
Step-by-step explanation:
First trail = 8 1/3 miles long
Second trail = 1 3/5 times as long as the first trail
= 1 3/5 × 8 1/3
= 8/5 × 25/3
= 40 / 3
= 13 1/3 miles
How many miles did Jamal hike?
Total miles hiked = First trail + Second trail
= 8 1/3 miles + 13 1/3 miles
= 25/3 + 40/3
= 25+40/3
= 65/3
= 21 2/3 miles
Jamal hiked 21 2/3 miles
NEED HELP ASAP(mathematics)
Answers
Answer:
x+4
Step-by-step explanation:
What is the slope of the line that passes through the points ( -9, -8 ) and ( -15, - 16 ) In simplest form please
Answers
Answer:
4/3
Step-by-step explanation:
The slope formula is y2-y1/x2-x1
take the y from one of the points and subtract the y from the other point, the divide that by the x of the first y you picked and subtract the x of the second y
(-16)-(-8)/(-15)-(-9)
-8/-6
simplify
4/3
the slope is 4/3
!!!Help!!!
Including scholarships and financial aid, Madeline has $41,000 to spend on college. If the total cost of her college education is __________, she will have enough resources to pay.
A.$44,000
B.$47,000
C.$50,000
D.$38,000
Answers
Answer:
D
Step-by-step explanation:
How do I do this? Anyone know
Answers
Answer:
62 degrees
Step-by-step explanation:
Every triangle adds up to 180 degrees.
Since you already know two angles, you subtract them from 180 to find the final angle.
180-68.5-49.5=62
Answer:
x=62
Step-by-step explanation:
the sum of the angles of a triangle is always 180 degrees.
so x + 68,5 + 40,5 = 180°
=> x = 180 - (68,5 + 40,5)
=> x = 62
HELP. NEED ANSWERS!!
Answers
Answer:
d i thin;kStep-by-step explanation:
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will has a chain that is 3/4 of a yard long. He wants to divide it into lengths of 1/3 yards. How many sections of this length chain will he have?
Answers
Answer:
3
Step-by-step explanation:
1/3 + 1/3 + 1/3 = 1
Hope this helps
PLZZ MARK BRAINLIEST
Answer:
He will have 2 section of (1/3) length
Step-by-step explanation:
Number of sections = Length of the chain ÷ length of one section
= (3/4) ÷ (1/3)
[tex]= \frac{3}{4}* \frac{3}{1}\\\\= \frac{9}{4}\\\\=2 \frac{1}{4}[/tex]
He will have 2 sections and (1/4) part of the chains remains
HELLP ASAP
1. Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
A. $1,440
B. $4,000
C. $1,600
D. $1,840
2. Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?
A. 545 minutes
B. 2,250 minutes
C. 445.5 minutes
D. 22,275 minutes
3. Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves?
A. $24.70
B. $13
c. $5.64
D. $60
Answers
No problem make sure to heart my comment Helps
What is the value of x ?
Answers
Answer:
61°
Step-by-step explanation:
For parellel lines cut by a transversal corresponding angles are equal.
if a board of 8 3/4 ft long is cut into 7 equal parts how long is each part
Answers
Answer: 1 1/4 ft each part
Step-by-step explanation: 8 3/4 divided by 7 is 1 1/4
(8.75 / 7 = 1.25)
8 3/4 divided by 7 = 1 1/4
Use the figure below to complete Parts A and B.
Part A: What is the value of x?
4
12
2
31
Answers
What is the value of x in this triangle?
A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°
Answers
Answer:
D. 33.49
Step-by-step explanation:
The value of x is 33.49°.
What is a right triangle?A triangle with one of its angles measuring 90° is known as a right triangle.
Given a right triangle with a hypotenuse of length 58 and a leg of length 32.
Use the sine rule:
(sin90°) / 58 = (sinx) / 32
sinx = 32/58
x = sin⁻¹ ( 32/58)
x = 33.49°
Hence, the value of x is 33.49°.
Learn more about right triangles here:
https://brainly.com/question/4364353
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