﻿ In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work. - AssignmentGrade.com

# In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work.

QUESTION POSTED AT 19/02/2020 - 12:21 PM

There exists the same question with the figure as shown in the attachment.

The given are:
g = 40 degrees
k = 45 degrees

angle of " l "

So this is how to solve this:

Step 1:
Since CEF is an equilateral triangle, then each has 60 degrees.
i is equal to l because they are opposite angles

Step 2:
angle l is inside CEF, then the value of angle l is 60

## Related questions

### I need help finding the other arc in order to solve for x

Hol up this seems rly hard Ima get back to uu

ANSWERED AT 30/03/2020 - 01:37 AM

QUESTION POSTED AT 30/03/2020 - 01:37 AM

### Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters. Given the angles in the diagram, who is closer to the treasure chest and why? a) Nigel is closer because his distance to the chest is opposite the larger angle. b) Mia is closer because her distance to the chest is opposite the smaller angle. c) Nigel is closer because his distance from the chest is 100 meters. d) Mia is closer because her distance from the chest is 100 meters.

The answer is b) Mia is closer because her distance to the chest is opposite the smaller angle.

In the relationship of triangle sides and its angles, the shortest side will always be opposite to the smallest interior angle. Furthermore, the largest side will always be opposite to the largest interior angle. Since Mia's distance to the treasure chest is opposite to the smaller angle 65
°, then she is much closer to the chest.

ANSWERED AT 30/03/2020 - 01:31 AM

QUESTION POSTED AT 30/03/2020 - 01:31 AM

### Consider the vector v=(-7,8). What is the angle between v=(-7,8) and the positive x-axis? Part 1: Use the formula v1 x v2=|v1||v2|cos theta to find the cosine of the angle between the two vectors (-7,8) and (1,0).

(1) To find the angle between v and positive x-axis, we first determine the angle formed by v and the negative x-axis. Since v = (-7,8), its vertical measure y is 8 units and horizontal measure x is 7 units.

arctan(8/7) = 48.81°
Solving for angle between v and positive x-axis:
180° - 48.81° = 131.19°

(2) v1 x v2=|v1||v2|cosθ
Calculating for the dot product of the vector:
v1 x v2 = -7*1 + 8*0 = -7
Calculating vector magnitude:
|v1| = √(-7²+8²) = √113
|v2| = √(1²+0²) =1

cosθ = (v1 x v2) /|v1||v2| = -7/(√113 *1) = -0.659

ANSWERED AT 30/03/2020 - 01:28 AM

QUESTION POSTED AT 30/03/2020 - 01:28 AM

### A cell phone company charges $40 per month plus$2 for each minute of time use out of service area.Write to the equation that describes the amount why that a cell phone user would pay if they use the phone for x it's out of the service area

Y= 40+2x hope this helps

ANSWERED AT 29/03/2020 - 11:46 PM

QUESTION POSTED AT 29/03/2020 - 11:46 PM

### I need the answer ASAP and work

The answer is B) 108 cubic inches because since prism H is three times the height of prism G's height , the volume of prism H is three times prism G volume therefore you multiply prism G's height; 36 by 3 to get 108

ANSWERED AT 29/03/2020 - 11:15 PM

QUESTION POSTED AT 29/03/2020 - 11:15 PM

### Help me start finding the angle measures

A=60
B=30
C=60
D=120
E=60
F=60

ANSWERED AT 29/03/2020 - 06:35 PM

QUESTION POSTED AT 29/03/2020 - 06:35 PM

### Find the area and peri19.6 ft13 ftA

The area is 38 because whenever you have to find the area in an equation you always add up the total sides. The shape is a rectangle and the only numbers they give is 6 and 13 obviously the sides are equal so the opposite side of 13 is 13 and the opposite side of 6 is 6 because they're both a certain length. In total you add up all the sides 13 plus 13 is 26, 6 plus 6 is 12 , 26 plus 12 is 38

The perimeter is 78 because they only give you two number so whenever you do a perimeter in an equation you always have to remember to multiply. 13 multiplied by 6 is 78. Hope this helped ( :

ANSWERED AT 29/03/2020 - 06:34 PM

QUESTION POSTED AT 29/03/2020 - 06:34 PM

### A DVD rotates through an angle of 20\pi radians in 1 second. At this speed, how many revolutions does the DVD make in 2 minutes?

There are 60 seconds in 1 minute, thus 120 seconds in 2 minutes
and one revolution is just one-go around the circle or 2π

thus

ANSWERED AT 29/03/2020 - 06:34 PM

QUESTION POSTED AT 29/03/2020 - 06:34 PM

### Box and whisker plot how do you find the percentage of students above an 80%

What do you mean? Please message me the question and I will gladly help

ANSWERED AT 29/03/2020 - 06:34 PM

QUESTION POSTED AT 29/03/2020 - 06:34 PM

### The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for$4.44 B. 5 pens for $6.05 C. 6 pens for$6.42 or D. 7 pens for 7.82

First you have to find out how much one pen costs. To do that, all you have to do is divide $11.77 by 11. So,$11.77/11=$1.07 Then it's just trial and error from there in till you find one that matches. So, A. 4*$1.07= $4.28( This one is wrong ) B. 5*$1.07= $5.35( This one is wrong ) C. 6*1.07=$6.42 ( !!This one is RIGHT!! )
D. 7*1.07= \$7.49 ( This one is wrong )

ANSWERED AT 29/03/2020 - 06:34 PM

QUESTION POSTED AT 29/03/2020 - 06:34 PM

### An angle measures 125 degree. Through what fraction of a circle does the angle turn?

Well a circle is 360 degrees and the angle turns 125 of that. a fraction can be considered a ratio of a part of the whole vs the whole and can be written as:
part/whole

So the part is 125 and the whole is 360 so
125/360

This can be reduced by 5
25/72

ANSWERED AT 29/03/2020 - 06:32 PM

QUESTION POSTED AT 29/03/2020 - 06:32 PM

### Write 5/8 as a decimal and a percent. 2. At his 1st match 50% of the 312 people that fought against Po were expert fighters. At his 2nd match 40% of the 275 people were expert fighters. Which situation had more expert fighters? Any by how many more?

1. 0.625 and 62.5%
2. Match 1 had 156 expert fighters (0.5 x 312), Match 2 had 110 expert fighters (0.4x275) Match 1 had more expert fighters by 46

ANSWERED AT 29/03/2020 - 06:31 PM

QUESTION POSTED AT 29/03/2020 - 06:31 PM

### 40 + 20 + 10 + … ; n = 10 Find the sum of each finite geometric series.

I've attached a picture below of the formula for a finite geometric sequence. It includes an infinite geometric sequence formula for your reference, too.

Plug in the values.

S₁₀ ≈ 79.92

ANSWERED AT 29/03/2020 - 06:31 PM

QUESTION POSTED AT 29/03/2020 - 06:31 PM

### Given the function: f(x) = 2x2 - 3x + 8, find f(-2). A) -22 B) -11 C) 11 D) 22

Step-by-step explanation:

ANSWERED AT 29/03/2020 - 06:31 PM

QUESTION POSTED AT 29/03/2020 - 06:31 PM

### A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after the other, and not replaced, and if the total value of the chosen coins is 26 cents, what is the probability that a third coin randomly chosen from the bag will be a penny? A) 1/3 B) 1/4 C) 3/13 D) 3/14

The probability is, B, 1/4.

ANSWERED AT 29/03/2020 - 06:30 PM

QUESTION POSTED AT 29/03/2020 - 06:30 PM

### The base of the Activity Pyramid represents __________, the kinds of activities that we do every day. A. sitting still B. aerobic exercises C. strength and flexibility exercises D. routine activities

I thinks the answer is C :)

ANSWERED AT 29/03/2020 - 06:30 PM

QUESTION POSTED AT 29/03/2020 - 06:30 PM

### A carpenter estimates that it will take one person 54 hours to complete a job he plans to have three people work on the job for two days how many hours each day will the workers need to work to complete the job

2 days = 54/2 = 27 hours a day

ANSWERED AT 29/03/2020 - 06:30 PM

QUESTION POSTED AT 29/03/2020 - 06:30 PM

### I need help to find the cost of shirts and how much I bought?

If 2 is 25 then 1 is 12.5
12.5x 9 is 112.50
and 87.50/12.50 is 7 so theres the 2 boxes

ANSWERED AT 29/03/2020 - 06:30 PM

QUESTION POSTED AT 29/03/2020 - 06:30 PM

### Write the equation of the circle with center (2, -3) and a radius of 4. A) (x + 2)^2 + (y - 3)^2 = 4 B) (x - 2)^2 + (y + 3)^2 = 4 C) (x + 2)^2 + (y - 3)^2 = 16 D) (x - 2)^2 + (y + 3)^2 = 16

C(2,-3) r=4

(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y--3)^2 = 4^2
(x-2)^2 + (y+3)^2 = 16

ANSWERED AT 29/03/2020 - 06:29 PM

QUESTION POSTED AT 29/03/2020 - 06:29 PM

### Which of the equation has a solution of 9. A. W-12=21 B. R- 1 = 10 C. A + 3 = 12 D. M + 9 = 81

Well C because
a+3=12
-3    -3
a= 9

ANSWERED AT 29/03/2020 - 06:28 PM

QUESTION POSTED AT 29/03/2020 - 06:28 PM

### The diagram shows three identical 1 gallon pitchers with different amounts of juice about how much juice is there in all choose the answer that makes the most sense

2/3.....................

ANSWERED AT 29/03/2020 - 06:28 PM

QUESTION POSTED AT 29/03/2020 - 06:28 PM

### 1. Which method would be the simplest way to solve 7x+5y=19 7x-2y=-16? A. (2,1) B. (1,2) C. (7,5) D. (-7,-2) 2. What is the solution to the system 7x+5y=19 -7x+-2y=-16? A. ( 2,1) B. (1,2) C. (7,5) D. (-7,-2)

I am pretty sur the awnser is c

ANSWERED AT 29/03/2020 - 06:28 PM

QUESTION POSTED AT 29/03/2020 - 06:28 PM

### GEOMETRY HELP Which of the following are dependent events? A. Drawing a king from a deck of cards, replacing it, and then drawing another king B. Flipping a coin and getting tails, and then flipping it again and getting tails again C. Drawing a 6 from a deck of cards, not replacing it, and then drawing another 6 D. Rolling a die and getting 2, and then rolling it again and getting 2 again

Option C

Step-by-step explanation:

A and B are said to be independent of

P(A intersection B) = P(A)*P(B).

Or if drawing is done with replacement, etc.

A) P(drawing a king) = 4/52 = 1/13

IF we replace again drawing a kind is the same 1/13

Hence independent

B) Coin flipping each toss is obviously independent of the other as prob of getting tail in a fair coin is 1/2 irrespective of the previous outcomes

C) Without replacement is not independent

Since first prob = 4/52 and second would be 3/51 not the same as before

D) Rolling a die is independent as getting a 2 in any throw is always the same.

ANSWERED AT 29/03/2020 - 06:27 PM

QUESTION POSTED AT 29/03/2020 - 06:27 PM

### 1) What is the slope of a line parallel to the line 2x-3y=6? A) 2/3 B) 1 C) 4/3 D) 1/5 2) Which answer is in slope-intercept form for 4x-9y= -36? A) 9y=-4x-36 B) 9y=4x+36 C) y=4/9x+4 D) y= -4/9x-4

Hello :
2x-3y=6  ...(1)
-3y=-2x+6
y =2/3 x-2.....
the slope of a line parallel to the line 2x-3y=6 is : 2/3 (same slope)

ANSWERED AT 29/03/2020 - 06:27 PM

QUESTION POSTED AT 29/03/2020 - 06:27 PM

### ANSWER FAST PLZZZ Which polygons are congruent? Select each correct answer. Two right scalene triangles labeled D E F and P Q R. Corresponding sides and vertices contain one, two, and three tick marks, respectively. Angles E and Q are right angles. Two triangles labeled T U V and W X Y. Side T U is labeled three, side U V is labeled six and five-tenths, and side V T is labeled seven. Side W X is labeled three, side X Y is labeled six and five-tenths, and side Y W is labeled seven. Corresponding vertices contain one, two, and three tick marks, respectively. Two triangles labeled A B C and F G H. Angles A and F are labeled eighty-three degrees. Angle B is labeled forty-eight degrees, angle C is labeled forty-nine degrees, angle G is labeled forty-five degrees, and angle H is labeled fifty-two degrees. Sides B C and G H each contain one tick mark. two right triangles. one with legs 4 and 7 units. the other one with legs 5 and 8 units.

Two Triangles are Congruent by following Geometrical Axioms

1. SAS

2.SSS

3. AAS

4. ASA

1. In Δ DEF and Δ P QR

PQ=DE

∠DEF=∠PQR→→Each being 90°

EF=QR

Δ DEF ≅ Δ P QR→→[SAS Congruency]

2. As in Image 2, only one angle is common

we can't say that triangles are congruent.

3. In ΔT UV and Δ W X Y

WX=TU

UV=XY

TV=WY

∠TUV=∠WXY

∠UTV=∠XWY

ΔT UV ≅ΔW X Y→→[By SAS or AAS or SSS]

4.In ΔABC and ΔFGH

∠A=∠F=83°

we can't say that triangles are congruent,as neither the other two angles nor the other two sides are equal.

5. None of the sides nor of the angles are equal .So the triangles are not congruent.

→→So, Image 1, Image 3,  are congruent Polygons.

ANSWERED AT 29/03/2020 - 06:27 PM

QUESTION POSTED AT 29/03/2020 - 06:27 PM

### (1 pt) Health problems can result from a __________, the lack of a certain nutrient in the diet. A. anorexia B. bulimia C. nutritional deficiency D. binge eating

I believe the answer is C

ANSWERED AT 29/03/2020 - 06:26 PM

QUESTION POSTED AT 29/03/2020 - 06:26 PM

### 6 (b-a) + 2(4a-3b)How do you solve this?

Apply distributive property and then combine like terms.
6b -6a +8a -6b

ANSWERED AT 29/03/2020 - 06:26 PM

QUESTION POSTED AT 29/03/2020 - 06:26 PM

### [GEOMETRY] Suppose A and B are independent events. what is P(A U B) ?

My guess would be B.
Don't quote me on this lol.

ANSWERED AT 29/03/2020 - 06:26 PM

QUESTION POSTED AT 29/03/2020 - 06:26 PM

### Somebody help on 39 and 40 !

39 = C
(Half of height x length)

ANSWERED AT 29/03/2020 - 06:25 PM

QUESTION POSTED AT 29/03/2020 - 06:25 PM

### There are 300 degrees in the sum of the interior angles of a polygon.

The sum of the interior angles of a ngon is 180(n-2)

so