AC ∥ DF, m∠F = 40°What is the m∠FEG?
What is the m∠EGF?
What is the m∠D?
What is the m∠ABE?
Answers
9514 1404 393
Answer:
m∠EGF = 50°m∠D = 40°m∠ABE = 90°Step-by-step explanation:
The drawing is a bit unfortunate, as it does not show the angles true to size.
__
When the altitude (EG) of a triangle (∆DFG) is also a median, then that triangle is isosceles. Both halves are congruent right triangles.
∆GED ≅ ∆GEF
Since these are right triangles, the acute angle not given (∠EGF) is the complement of the one that is given.
m∠EGF = 90° -m∠F = 90° -40°
m∠EGF = 40°
__
Of course, angle D in ∆GED is identical to its counterpart in ∆GEF, angle F, so ...
m∠D = 40°
__
Because the lines are parallel, angle ABE corresponds (and is congruent) to angle DEG, which is marked as a right angle.
m∠ABE = 90°
Related Questions
For a crafts fair, Charlie made 25 necklaces with 96 beads in each necklace. Shaniqua made 28 necklaces with 84 beads in each necklace. Who used more beads? _____________________ How many more beads? ____________________
Answers
Answer:
A. Charlie
B. Charlie used 48 more beads than Shaniqua
Step-by-step explanation:
Charlie:
25 necklaces with 96 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 96 × 25
= 2,400 beads
Shaniqua:
28 necklaces with 84 beads in each necklace.
Total beads used = number of beads per necklace × number of necklace
= 84 × 28
= 2,352 beads
A. Charlie used more beads
B. 2,400 beads - 2,352 beads= 48 beads
Charlie used 48 more beads than
Shaniqua
Help pls
im braindead still XD
Answers
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
Answer:
-2.5 , -1 , 15.03 , 15.32
-10 , -6 1/2 , -1 , 0
0.02 , 0.2 , 2.02 , 2.2
Step-by-step explanation:
What is the slope of the line represented by 3x - 7y = 28?
Answers
Why?
Reorganize the equation 3x-7y=28 you get
Y=3/7x-4
Because y=mx+b and m=the slope this shows that the slope is 3/7
Hope this helps :D
I really need help plz
Answers
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
Two brothers, Michael and Alan, were in a bowling league that met once a
week. From past experiences, it is known that both brothers' scores are
approximately normally distributed where Michael has a mean score of 150
with a standard deviation of 30, and Alan has a mean score of 165 with a
standard deviation of 15. Assuming that their scores are independent, which
of the following values is closest to the probability that Michael will have a
greater core than Alan in a single game?
0.16
0.28
0.31
0.33
0.37
Answers
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given parameters are;
The mean score for Michael, [tex]\bar x _1[/tex] = 150
The standard deviation, σ₁ = 30
The mean score for Alan, [tex]\bar x _2[/tex] = 165
The standard deviation, σ₂ = 15
Taking n₁ = n₂ = 1
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Taking μ₁ - μ₂ = 0
[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]
The p-value for a z-score of -0.577 from the z-table is 0.28434
Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28
Therefore, the correct option is 0.28
The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answers
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
How do I solve and respond to this question?
Answers
Answer:
i think its 6 and 8
Step-by-step explanation:
sorry if i get it wrong
can you tell me if it is right or wrong
Can anyone help me please??? Almost done Thank you!!
Answers
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answers
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
what is the solution to -6(3a+4)=3a-3
Answers
Answer:
a = -1
Step-by-step explanation:
-6(3a+4) = 3a-3
-18a-24 = 3a-3
-24+3 = 3a+18a
21a = -21
a = -21 ÷ 21
a = -1
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answers
Answer:
A. and C.
Step-by-step explanation:
I can't figure out d - 11
Answers
Answer: d = 17
Step-by-step explanation:
d - 11 = 6
So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable
d = 17
Solve.
The perimeter of a college athletic field is 100 meters and the length is 18 m more than the width
Find the length, width and area.
Answers
take the breadth as x and accordingly length as (x+18)
the formula for finding the perimeter of a rectangle is 2(l+b) now put the correct values as shown in the picture and form an equation this way you will be able to find x which is the breadth and length Is 18 morethan breadth ,now as u have found both length and breadth go ahead and find the area whose formula is length×breadth
HOPE IT HELPS
HELP ASAP PLS Which table represents the same equation as
y= -1/2x+5
Answers
Go to desmos graphing calculator and plug it in
Solve the system by substitution.
y = -7x + 6
y = -10x
Answers
Answer:
(-2, 20)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = -7x + 6
y = -10x
Step 2: Solve for x
Substitution
Substitute in y: -10x = -7x + 6Add 10x to both sides: 0 = 3x + 6Isolate x term: -6 = 3xIsolate x: -2 = xRewrite: x = -2Step 3: Solve for y
Define equation: y = -10xSubstitute in x: y = -10(-2)Multiply: y = 20Answer:
x = -2
y = 20
Step-by-step explanation:
y = -7x + 6
y = -10x
y = -10x
-7x + 6 = -10x
3x = -6
x = -2
y = -7x + 6
y = -7 ( -2 ) + 6
y = 14 + 6
y = 20
whats 2+2x (7/7)= to
Answers
Answer:
2+2x(7/7)= 0 (you do what's in the parenthesis first)
2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)
2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)
2x= -2 (divide both sides by 2 to get x isolated)
x= -1 (is your answer)
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answers
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
The volume of a cube is 125 cubic inches what is the length of 1 edge of the cube
Answers
Answer:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.
Step-by-step explanation:
Mark me as brainliest!
Which one is correct please help
Answers
option three
explanation:
used desmos to solve
Explanation: The exponent tells you how many times to multiply that number by itself. So when you see 2^3 you multiply 2 by itself 3 times or 2•2•2
convert 18 1/10 into a decimal.
Answers
Answer:
the answer is 18.1 1/10 is the same thing as .1
Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answers
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
If a population grows by 69%, what is the multiplier?
Answers
Find the distance between the two points in simplest radical form.
(-5,8) and (-3, 1)
Answers
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between (-5,8) and (-3,1) is
[tex]d=\sqrt{(-3-(-5))^2+(1-8)^2}[/tex]
[tex]d=\sqrt{(-3+5)^2+(-7)^2}[/tex]
[tex]d=\sqrt{(2)^2+(-7)^2}[/tex]
[tex]d=\sqrt{4+49}[/tex]
[tex]d=\sqrt{53}[/tex]
Therefore, the distance between two points (-5,8) and (-3,1) is [tex]\sqrt{53}[/tex] units.
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
Answers
48/6 = 8
16x – 20y
20y = 60
Slope intercept form
Answers
Answer:
16x=60
X=15/4
Step-by-step explanation:
Una empreza tiene contratadas 75 personas. En las oficinas trabaja el 16% de los hombres y 20% de mujeres, si el total de personas q trabaja en oficinas es de 13 personas ¿Cuantod hombres y cuantas mujeres hay en la empreza?
Answers
Answer:
50 hombres y 25 mujeres
Step-by-step explanation:
Sea m el número de hombres y w el número de mujeres.
El total es 75
Así; m + w = 75 •••••••• (i)
Además; 16% de m + 20% de w = 13
0,16 m + 0,2 w = 13
Multiplicar por 100
16m + 20w = 1300 ••••• (ii)
De i, m = 75-w 16 (75-w) + 20w = 1300
1200 - 16w + 20w = 1300
4w = 1300-1200
w = 100/4 w = 25
Recordar; w + m = 75
25 + m = 75
m = 75-25
m = 50
Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?
Answers
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]
Pauls worked for :
[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
can someone help me don't show my math hw? ily and tysm.
Answers
Answer:
Step-by-step explanation:
16)
[tex]\frac{4}{10} , \frac{32}{72}\\\\\frac{4}{10} = \frac{32}{72}[/tex]
Cross multiply,
4 * 72 = 32 * 10
288 ≠ 320
So, these are not in proportion.
17)
[tex]\frac{40}{25} = \frac{32}{20}[/tex]
Cross multiply,
40 * 20 = 32 * 25
800 = 800
So, these are in proportion.
18)
[tex]\frac{15}{45}=\frac{9}{c}[/tex]
Cross multiply,
15 * c = 9*45
c = [tex]\frac{9*45}{15}[/tex]
c = 9*3
c = 27
19)
[tex]\frac{16}{120} = \frac{v}{15}[/tex]
Cross multiply
16 * 15 = v * 120
[tex]\frac{16*15}{120} =[/tex] v
v = 2
look at pic n answer plz, its math
Answers
Answer:
the answer is G because each grab the probability is 1/5 and 1/5*1/5= 1/25
2x – 3y = 15
-2x + y = -1
Answers
Answer: -y=7
Explanation:
Think of your problem as subtraction:
2x-3y+15
-2x+3y=-1