Find the largest interior angle of the
triangle given the information below.
C bears 056° from D.
F bears 115° from D
F bears 184° from C.
Answers
Answer:
The largest interior angle of ΔCDF is ∠F
Step-by-step explanation:
The bearings of the vertices of the triangle are given as follows;
The bearing of C from D = 056°
The bearing of F from D = 115°
The bearing of F from C = 184°
By angle addition property, we have;
The bearing of F from D = The bearing of C from D + ∠D
∴ ∠D = The bearing of F from D - The bearing of C from D
By plugging in the values, we have;
∠D = 115° - 056° = 59°
∠D in triangle ΔCDF = 59°
∠D = 59°
By alternate interior angles, we have;
The bearing of C from D = 056° = ∠BCD
Also, we have;
The bearing of F from C = ∠BCF + ∠ACB
∠ACB = 180°
∴ ∠BCF = The bearing of F from C - ∠ACB
∠BCF = 184 - 180° = 4°
∠C in ΔCDF = ∠BCD - ∠BCF
∴ ∠C = 056° - 4° = 52°
∠C = 52°
From angle sum property of ΔCDF, we have; ∠F = 180° - ∠C - ∠D
Therefore; ∠F = 180° - 52° - 59° = 69°
We have; ∠C = 52°, ∠D = 59°, ∠F = 69°, therefore;
∠F in triangle ΔCDF, has the largest interior angle.
Related Questions
I need help plzzzzzz like ASAP
Answers
Step-by-step explanation:
Angles in a triangle add up to 180° and angles on a straight line add up to 180° with this information we can solve this problem.
180° - 95° = 85°
Now you have two of the angles, which means all you have to do to find the x is add your two angles up and take them away from 180°.
85° + 60° = 145°
180° - 145° = 35°
Answer:
B
Step-by-step explanation:
Given that the area of the trapezoid is 55cm find x
Answers
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
Each month Judy and jills cupcake shop pays $1850 in monthly expenses . They need to make at least as much as they spend each month. Which inequality shows, x, the amount of money they need to make it each month
Answers
Answer:
x is greater than or equal to 1850
Step-by-step explanation:
This is because they need to make AT LEAST this much.
Answer:
I ned help
Step-by-step explanation:
Awnser this for brainliest.
Answers
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
Answers
10
feet away from the base of the wall. [Ans]
Which is the solution to the inequality?
3
8
15
o b< 2 1
15
Ob>27
o b<3 77
O b>37
Answers
Answer:
D (last answer)
Step-by-step explanation:
solve and simply
im not really sure how to solve for y here
Answers
Answer:
Step-by-step explanation:
Cross multiply. When you have two fractions set equal to each other, you can cross multiply to solve.
5(3y - 8) = 12y and
15y - 40 = 12y and
3y = 40 so
y = 40/3, choice A.
Can someone please give me the answer to this
Answers
Answer:
The answer is (4, -6)
Step-by-step explanation:
Point C starts at (2, -5). The triangle moves 2 units right, so 2 + 2 = 4 and 1 unit down, so -5 - 1 = -6
I need help please!!!
Answers
Answer:
1
Step-by-step explanation:
Answer:
log x^2 sqrt(y)
Step-by-step explanation:
1/2 log y + 2 logx
We know that a log b = log b^2
log y^ 1/2 + log x^2
We know that log a + log b = log (ab)
log x^2 y^ 1/2
log x^2 sqrt(y)
The equation y 55x represents the
relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180
Answers
Answer:
Train A is travelling faster.
Step-by-step explanation:
Train A is going 55mph, and train B is going 45mph according to the table.
Do the side lengths 7, 20 and 21 form a right triangle?
Answers
==============================================
Work Shown:
a^2+b^2 = c^2
7^2+20^2 = 21^2
49+400 = 441
449 = 441
We end up with a false equation, so the original equation is false for those a,b,c values.
By the pythagorean theorem converse, we do not have a right triangle.
Because a^2+b^2 > c^2, this triangle is acute.
Find the equation for the line with
the given properties
perpendiculor to the line 7x-5y=9
containing the point (-2,-1)
Answers
Answer:
y = -0.14286x + 1.2857
Step-by-step explanation:
Don't really know how to explain over a computer, but it is correct. Answer from Omnicalculator.
Hope that this helps!
9514 1404 393
Answer:
5x -7y = -3
Step-by-step explanation:
The equation of the perpendicular line can be written using the given equation as a starting point. Swap the x- and y-coefficients and negate one of them. In standard form, the x-coefficient must be positive.
Find the new constant by using the x- and y-values of the given point.
-7x -5y = 9 . . . . given equation
-5x -7y = c . . . . equation with coefficients swapped
5x -7y = c . . . . . equation with swapped coefficients, x-coefficient negated
5x -7y = c = 5(-2) -7(-1) = -10 +7 = -3
The equation of the perpendicular line is ...
5x -7y = -3
Here's an equation of a line:
y - 4x = 4
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
4y + x= -8
y + 4x = 1
2y – 8x = -5
- 4y + x= -8
Answers
Step by step explaination
y-4x= -4
y= 4x-4
slope of the given eqn of line = 4
and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4
OPTION C , the eqn has slope = 4
4 1/2 ounces per 3/4 miles
_____ ounces per 1 mile
Answers
Answer: 6
Step-by-step explanation:
To get 3/4 miles to 1 mile we must take the reciprocal of the number and multiply it.
[tex]\frac{3}{4}[/tex]×[tex]\frac{4}{3} =1[/tex]
We need to multiply the 4 1/2 ounces by 4/3 too
[tex]4\frac{1}{2}[/tex]×[tex]\frac{4}{3} =6[/tex]
4 1/2 ounces per 3/4 miles
6 ounces per 1 mile
Answer:
6 ouncesStep-by-step explanation:
Let the unknown number be x
[tex]4 \frac{1}{2} \: \: ounces = \frac{3}{4} \: \: miles \\ x = 1 \: \: mile[/tex]
Now simply use cross multiplication to solve it
[tex]4 \frac{1}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} \times 1 = \frac{3}{4} x \\ \frac{9}{2} = \frac{3x}{4} \\ [/tex]
Now make x as the Subject
[tex] \frac{9}{2} = \frac{3x}{4} \\ \frac{9 \times 4}{2 \times 3} = x \\ \frac{36}{6} = x \\ 6 = x[/tex]
So the answer is
6 ouncesKaren exchanged BDS$2000 and received EC$2700. How much is the value of one BDS$ in EC$
Answers
Answer:
Bds$ 1 EC$ 1.34
Step-by-step explanation:
Kelly is flying a kite. She staked the kit to the ground. The angle of elevation between the string and ground is 70˚. The string on the kite is 65 meters long. How far is the kite above the ground? (Round to two decimal places)
Answers
Answer:
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Answers
Step-by-step explanation:
the first option is the answer
it can be gotten by multiplying 2/6 by 100%
since there are 2 o's in school
need help. will mark brainliest if correct
Answers
P = 20
Hope this helps!
please help guys
I will be helping u in the days to come n follow u for sure
Answers
Answer:
I'd 7587163850
Pass 123456
Join
Answer:
Step-by-step explanation:
[tex]\frac{cot \theta}{cosec \theta + 1} = \frac{cosec\theta -1} {cot \theta}[/tex]
[tex]L H S[/tex]
[tex]\frac{cot \theta }{cosec \theta + 1 } \times \frac{cosec \theta - 1}{cosec \theta -1}[/tex] [tex][ \ multiplying \ and \ dividng \ by \ (cosec \theta - 1) \ ][/tex]
[tex]= \frac{cot \theta \times (cosec \theta - 1)}{(cosec ^2\theta -1)}[/tex] [tex][ \ (a -b)(a+b) = a^2 - b^2 \ ][/tex]
[tex]= \frac{cot \theta \times (cosec \theta - 1)}{cot^2 \theta}\\ \\[/tex] [tex][ \ cosec^2\theta - 1 = cot^2 \theta \ ][/tex]
[tex]= \frac{cosec \theta - 1 }{cot \theta} \\\\= RHS[/tex]
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answers
Answer:
Yes, SAS Theorem
Step-by-step explanation:
The triangles are congruent because of SAS Theorem that states that if two triangles have two sides and the angel in between them congruent the triangles are congruent.
JK≅NM (Side) because the sides have the same measure 74in. they are ≅
∡J≅∡M (Angle) because the angles have same measure 37° they are ≅
JL≅PM (Side) because the sides have the same measures 46in. they are ≅
Trey left his house on his bike and rode 6 miles north, rested then rode 8 miles east. How far is he from his house?
Answers
Answer:
10
Step-by-step explanation:
The mass of a piece of aluminum is 250 grams. The density of aluminum is 2.7 g/mL. What is the volume of the piece of aluminum? A. 92.59 mL, B. 247.3 mL, C. 95 mL, D. 0.01
Answers
Answer:
LETTER A
Step-by-step explanation:
BECAUSE IF YOU DIVIDE THE 250 GRAMS TO 2.7 G/ML THE ANSWER IS 92.59ml
Answer:
A. 92.59 mL
Step-by-step explanation:
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answers
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
Volume & surface! May I please have help
Answers
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
Ashton plans to put a fence around his circular garden. When Ashton walks from one side of the garden to the other, through the middle, it is 7.5 metres. Fencing is sold in 1m pieces and costs $8.99 per meter. Find the circumference of the garden. How much will it cost for Ashton's new fence? 2.
Answers
Answer:
Circumference: C = 7.5π m. This is approximately 23.56 m
Total fencing cost: $215.76
Step-by-step explanation:
Ashton walks along the diameter of the garden, which is 7.5 m.
The circumference formula C = πd yields C = 7.5π m. This is approximately 23.56 m, which we must round up to 24 m, and which calls for 24 - 1 m pieces at $8.99 each.
The desired fencing would cost (24 m)($8.99/m), or $215.76
Please last one I promise I need help figuring this out I have been stuck on it for a while I will mark the person that gets the correct answer a brainliest person
Answers
Answer:
c
Step-by-step explanation:
Adams Stationary sells cards in packs of 6 and envelops in packs of 9. If HyunSik wants the same number of each, what is the minimum number of cards that he will have to buy?
Answers
Answer:
54
Step-by-step explanation:
Adam sells stationary cards in pack of 6
And also envelops in pack of 9
Therefore the minimum number of cards he have to buy can be calculated as follows
= 9×6
= 54
If Adrian were to spin the spinner 400 times, how many times could he
expect to get yellow? Use theoretical probability.
Answers
Answer:
c
Step-by-step explanation:
Which correlation coefficient would indicate a strong negative correlation? a. r = -0.93 b. r = -0.23 c. r = 0.75 d. r = 1.0
Answers
Answer:
A. r = -0.93
Step-by-step explanation:
First, if there is a negative correlation, the correlation coefficient will be negative.
This eliminates answer choices C and D, which are positive.
If there is a strong correlation, the correlation coefficient will be closer to 1, or -1 (since the correlation is negative).
Since -0.93 is closer than -0.23 to 1, it has a stronger correlation.
So, the correct answer is A. r = -0.93
2.A ball is pulled out of a bag on the first pick. Then, it
is replaced in the bag and another ball is picked out . Independent or dependent ?
Answers
Answer:
Independent
Step-by-step explanation:
Since the ball is replaces, the same number of balls and type of balls are in the bag. The draw is identical to the first draw so the draws are independent.
