The figure is a triangle that is divided into two parts. Angle A and angle E are right angles and the measure of angle F is 30 degrees. What is the measure of angle C? Complete the steps below to solve the problem using equations.
Part A
Let the variable g represent the measurement of angle G. Write and equation that you can use to solve for g.
Part B
What is the measurement of angle G?
Part C
Let the variable c represent the measurement of angle C. Use the measurement of angle G to write an equation that you can use to solve for c.
Part D
What is the measurement of angle C?
Answers
Answer:
Part A) g + 30 + 90 = 180
Part B) G = 60 degrees
Part C) c + 60 = 180
Part D) C = 120 degrees
Step-by-step explanation:
Part A: If angle F is 30 degrees and E is 90, then we can easily find G using the fact that the sum of a triangle is 180 degrees.
g + f + e = 180
g + 30 + 90 = 180
Part B: g + 30 + 90 = 180
g + 120 = 180
g = 60
Part C: Since G and C are on the same line and just separated by another line, we can use supplementary angles to find C.
c + g = 180
c + 60 = 180
Part D: c + 60 = 180
c = 120
Answer:
A:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.
B:Solve the equation from Part A to find the measurement of angle G:
90° + 30° + g
180° – 90° – 30°
Angle G measures 60°.
C: Angle C and angle G are supplementary angles. The sum of supplementary angles is 180°. If c and g are the measurements of angles C and G, respectively, then c + g = 180°.
The value of g is 60°. Substitute 60° in the equation to get an equation in terms of c:
c + 60° = 180°.
D:Solve the equation from Part C to find the measurement of angle C:
c + 60°
= 180°
c
= 180° – 60°
c
= 120°.
Angle C measures 120°.
the exact answer from edmentum
Step-by-step explanation:
Related Questions
Pencils cost 9p each.
How much do 28 pencils cost?
Answers
Answer:
252p or £2.52
Step-by-step explanation:
If one pencil is 9p, 28 pencils would be 9 × 28 which is 252p or £2.52.
Hope this helps!
Answer:
252p
Step-by-step explanation:
Acellus
D
320
A
410
С.
B
mZB = [?]
Enter the number that belongs in
the green box
Answers
Answer:
∠ B= 107°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ D = 180° - (32 + 41)° = 180° - 73° = 107°
The opposite angles D and B are congruent in a kite , so
∠ B = ∠ D = 107°
6 times 10 to the 8th power divided by 2 times 10 to the negative 4th power
Answers
Answer:
30
Step-by-step explanation:
I think but if is wrong i'm sory
What is an algebraic expression for this word phrase?
5 more than the product of 7 and n
5 + 7n
5(7+n)
7(5+n)
5 + 7 + n
Answers
Amab deposited Rs.200 in a bank.The banker promised 4% interest per annum. How much money will he get by end of one year?
Answers
Answer: $208
Step-by-step explanation:
200 x .04 = 208
find the midpoimt of the line segment between the points (4,-7) and (12, -1)
a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)
Answers
The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.
Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])
∴ for a line segments with endpoints (4,-7) and (12, -1),
Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])
= ( [¹/₂ (16)] , [¹/₂(-8)])
= (8, -4) (OPTION A)
After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.
Answers
Answer:
Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
Hope this helps!
Answer:
B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
HOPE IT HEPL!! :D
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answers
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧y=9x−5y=9x+6Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions
Answers
The solution to the given equations has infinitely many solutions
Given the following set of equations:
y = 9x - 5
y = 9x + 6
Equating both expressions
9x - 5 = 9x + 6
Collect the like terms
9x - 9x = 6 + 5
0x = 11
x = 11/0
x = ∞
This shows the solution has infinitely many solutions
Learn more here: https://brainly.com/question/11733569
Answer: b
Step-by-step explanation: bc khan
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answers
Answer:
The answer is B) 2/3x=5 and E) 6x-3+8=11.
Step-by-step explanation:
Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:
Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.
What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.
What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.
What about D? Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.
Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.
*Had to replace so I could submit the answer
David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the other, and he finds that the image of vertex D is vertex L, the image of vertex V is vertex C, and the image of vertex W is vertex Y. In how many different ways can David write a congruence statement for the triangles? Complete the explanation.
Use the given information to select congruence statements.
△DVW ≅ △
△DWV ≅ △
△VDW ≅ △
△VWD ≅ △
△WDV ≅ △
△WVD ≅ △
There are __ more ways with the order of the triangles reversed. There is a total of __ ways to write a congruence statement.
Answers
Transformation involves changing the position of a shape.
The complete statement is:
There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.
From the question, we understand that:
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
This mean that, the following 6 statements can be used as the congruent statements
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]
[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]
[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]
[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]
[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]
A triangle has 3 sides, and there are 2 triangles in the question.
The number (n) of congruence statements is:
[tex]\mathbf{n = 3^2 = 9}[/tex]
The remaining (r) number of congruent statement is:
[tex]\mathbf{r = 9 - 6 = 3}[/tex]
So, the blanks should be completed with 3 and 9
Read more about congruent triangles at:
https://brainly.com/question/12413243
The broccoli farmer notices that his pre-flowering crop is being attacked by caterpillars. He was advised to use a particular insecticide at the rate of 5 milliliters per gallon of water. The farmer finds that a 4 gallon can of water covers an area of 30m². The chemical in question comes in 1500ml bottles and costs $3,500.
FIND:
a) How many gallons of water would cover his 2.6-hectare area?
b) How many pesticides is needed to adequately spray the field?
c) What would be his total cost for whole bottles of insecticide needed?
pls help
Answers
Answer:
a) 3,467 gallons of water
b) 17,335 ml of insecticide = 12 bottles
c) $ 42,000
Step-by-step explanation:
1 gal. Water = 3785.412 ml
1 hectare = 10,000 m^2
2.6 hectare = 2.5 x 10.000 m^2 = 26,000 m^2
(a) 4 gal. water cover 30m^2
X gal water cover 26,000 m^2
(4 x 26,000)/30 = 3,467 gal of water
(b) 5 ml per 1 gal of water
X ml per 3,467 gal of water
(5 x 3,467) = 17,335 ml of insecticide
Bottle of insecticide = 1,500 ml of insecticide in each bottle.
17,335/1,500 = 12 bottles of insecticide
(c) 12 x $3,500 = $ 42,000
Consider these functions:
f(x) = -1/2x^2 + 5xf(x) = -1/2^2 + 5x
g(x) = x^2 + 2g(x)= x^2 + 2
What is the value of f(g(-2))?
Answers
Answer:
Answer is 12
Step-by-step explanation:
f(g(-2))
=f((-2)^2+2)
=f(6)
=-1/2×6^2+5×6
=12
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?
Answers
Answer:
345 is the answer
Step-by-step explanation:
use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!
The 50th term of this arithmetic sequence will be 9655.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.
The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.
Then the 50th term of this arithmetic sequence will be
aₙ = a₁ + (n - 1)d
aₙ = a₁ + (n - 1)(4n - 3)
a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)
a₅₀ = 2 + 49 × 197
a₅₀ = 2 + 9653
a₅₀ = 9655
The 50th term of this arithmetic sequence will be 9655.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.
Answers
Answer:
h^2+2ah
Step-by-step explanation:
When f(x) = 1-x^2
f(a) = 1 - a^2
f(a+h) = 1 - (a+h)^2
= 1 - a^2 + 2ah + h^2
Subtracting the two:
f(a+h) - f(a)
= (1 - a^2 + 2ah + h^2) - (1-a^2)
= 1 - 1 - a^2 + a^2 + 2ah + h^2
= 2ah + h^2
= h^2 + 2ah
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
8. The month of July has 31 days. What is the greatest
possible number of Saturdays that can occur in July?
+
Answers
Answer:
We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,
But since July has 31 days so there is a possibility of 5 Saturdays as in the rest 2 days one can be Saturday. so theres a possibility of 5 Saturdays
Hello 100 point Question with Explaining please
Answers
Explanation: When you graph each of them, answer c is the only one that has that slope and point.
7.836 - 937 + 2.846 =.....
Answers
Answer:
Hi There,
Your answer is -926.318
Please help me solve this please
Answers
Answer:
rdinates (4,5),(8,2) named point z
Step-by-step explanation:
you can earn $33 in 8 hours. At this rate, how much would you earn in 5 hours
Answers
Answer:
20 pounds and 62p
Step-by-step explanation:
33 divided by 8 then you times it by 5
Which of the following equation represents the graph?
Answers
Answer:
y= -3/5x -3
Step-by-step explanation:
Solve the math problem
Answers
Thats too many questions mam Step-by-step explanation:
the pool at the apartment is 30 feet long 20 feet wide and five feet deep it has been filled to 4 feet how many more cubic inches does it need
Answers
Answer:
600 cubic feet
Step-by-step explanation:
(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)
Answers
Answer:
The answer is 1…
Step-by-step explanation:
Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.
the final result will be
(240+15+40)+ (300+90-72)- (360+105+24)
Now solve
240-15+40=265
300+90-72=318
360+105+24=513
265+268-489
265+268= 11
533-513=20
bleh i m not sure naymore
what are the three proofs in geometry?
Answers
Answer:
Two-Column, Paragraph and Flowchart Proofs.
Hope this helps :)
Help, show work aswell please
Answers
Answer:
Hey I got you!!
Step-by-step explanation:
Main points made:
* 3/4 teaspoon for every 2 cups of milk
* Sally wants to know how many teaspoons are required for 3 cups of milk
In this situation I divided 3/4 by 2, which got me 0.375. Then I converted 3/4 to a decimal, which is 0.75. Next, I added 0.375 and 0.75 which equals 1.125. From there I converted 1.125 to a fraction.
My final answer was 9/8 or 1 1/8. Hope this helps! :)
A cube has six sides that are numbered 1 to 6. The sides numbered 1, 3, and 5 are yellow, and the sides numbered 2, 4,
and 6 are orange. What is the probability of rolling the cube and getting a yellow and even number?
Answers
Explanation:
The yellow sides are 1,3,5 which are odd numbers. So it's impossible to get an even number that's a yellow side. That's why 0 is the answer here. A probability of zero represents cases when the event can never happen.
What is the circumference of this circle?
A.
4
1
⁄
2π
B.
20
1
⁄
4π
C.
2
1
⁄
4π
D.
None of the above
E.
9π
Answers
Answer:
It is 2 π r
Step-by-step explanation:
Hope this helps you!!!1
Option is
AA
SAS
Not enough information to prove similarity
SSS
Answers
Answer:
SAS
Step-by-step explanation:
The included angle is similar and they have corresponding sides.
1. e(x) = 3 x -3, Find e(-6)
Answers
Answer:
e(-6) = -21
Step-by-step explanation:
Plug -6 into the equation and simplify.
3(-6) - 3
-18 - 3
-21
