Answers
================================================
Explanation:
Check out the diagram below.
Segment BD cuts angle EBC in half
So the two smaller pieces DBC and DBE are congruent. Let's call them x.
Let's make y = angle EBA.
Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say
x+x+y = 180
2x+y = 180
y = -2x+180
We'll use this later.
For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.
D+E+B = 180
28+90+x = 180
x+118 = 180
x = 180-118
x = 62
Which means
y = -2x+180
y = -2*62+180
y = -124+180
y = 56
Now focus on triangle BEA. We have B = 56, E = 90 and A = z
B+E+A = 180
56+90+z = 180
146+z = 180
z = 180-146
z = 34
which is the measure of angle A.
Related Questions
James paid 13.20 for 12 mangoes. For every 5 mangoes that he bought he got one mango free. Mary wants to by 4 mangoes from the same shop. She only has $5.10. How much more money does she need
Answers
Answer:
Mary needs $0.18 more
Step-by-step explanation:
12 mangoes = $13.20
For every 5 mangoes that he bought he got one mango free
This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)
If James paid $13.20 for 10 mangoes, then
Each mango cost = $13.20 / 10
= $1.32
Each mango cost $1.32
Mary wants to by 4 mangoes from the same shop.
Total cost of 4 mangoes = $1.32 × 4
= $5.28
She only has $5.10.
How much more money does she need
Amount needed more = Total amount required - total amount available
= $5.28 - $5.10
= $0.18
Mary needs $0.18 more
What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14
Answers
Answer:
c
Step-by-step explanation:
cc
The length of BC in the right triangle is 82 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given triangle the line segment AB is 18 units
AC is 80 units
We have to find BC
By using pythagoras theorem we find the length of segment BC
BC²=AB²+AC²
BC²=18²+80²
BC²=324+6400
=6724
BC=√6724
BC=82
Hence, the length of BC in the right triangle is 82 units
To learn more on trigonometry click:
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If 3x - 6 = 21, what is the value of x - 2 ?
Answers
Or,3x=27
Or,x=27/3
Or,x=9
So,Now,
X-2=9-2
=7
Hope it helps
The value of x - 2 in the equation 3x - 6 = 21 is 7.
What is an equation ?An equation is comparing two equal quantities in different form.Equations can be of many types like algebraic equation, logarithmic equation,trigonometric equations, exponential equations.We can also graph this equations in 2 dimensional and 3 dimensional plane.
According to the question given an equation 3x - 6 = 21 first we have to solve for x or find the value of x.
∴ 3x - 6 = 21.
3x = 21 + 6.
3x = 27.
x = 27/3.
x = 9.
So, the value of (x-2) will be (9-2) = 7.
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To anyone reading this HAVE A GOOD DAY
Answers
Answer:
Thank you!
Step-by-step explanation:
I hope you have a good day as well :D
Answer:
Thank you :)
Step-by-step explanation:
Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answers
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
Sherry's age is nine less than six times Fred's age. Write an equation and find Sherry's
age if Fred is 10 years old.
Answers
Help solve this issue with mathematics
Answers
Answer:
last one
Step-by-step explanation:
i would say the last one, but im not sure, this one is really hard
A carpenter has 183 doorknobs in his workshop. Of those doorknobs, 95 are round and the rest are square. If he wants to place 9 square doorknobs in each bin, about how many bins would he need? The carpenter will need about bins.
Answers
Answer:
10 bins needed approximately
Step-by-step explanation:
Total door knobs = 183
Round door knobs = 95
Square door knobs = x
Total door knobs = Round door knobs + Square door knobs
183 = 95 + x
183 - 95 = x
88 = x
Square door knobs = x = 88
If he wants to place 9 square doorknobs in each bin, about how many bins would he need?
Divide total square knobs by square knobs in each bin
Total bins needed = Total square knobs / knobs in each bin
= 88 / 9
= 9.78
Approximately 10 to the nearest number of bins
Bins needed is approximately 10
can someone answer this easy proof
Answers
Step-by-Step: See Picture
If this is helpful, please mark me brainliest :)
Will give brainiest for the correct answer! please!
Answers
Answer:
A
Step-by-step explanation:
it's has 1 sulotion hope this helps
pls help me is this right red devil is killing me
Answers
PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!
Answers
Answer:
A. 6
Step-by-step explanation:
6/1 = 6
Solve for x: 8(3x-6)=6(4x+8)
Answers
Answer: there are no values of x that make the equation true .
So the answer is there is: No solution
Step-by-step explanation:
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after tt hours of snow falling?
Answers
Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed
Answers
Answer:
0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5
Step-by-step explanation:
PLS GIVE BRAINLIEST
u+(−5)=−15 What do do to the negative 5 if its ib parentheses
Answers
Answer:
u = -10
Step-by-step explanation:
u + (−5) = −15
u − 5 = −15 distributive multiplication, think of it like 1 * -5 = -5
u = -10 add 5 to both sides of equality
Find the slope of the line that goes through the points (5,11) and (13,9).
Answers
Answer:
-1/4
Step-by-step explanation:
using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answers
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
travels only on Saturdays and Sundays and has miles this month. Travels every weekday and has miles this month. If they each travel about the same number of miles each day, who travels more miles per day for this month?
Answers
Complete question :
William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month
Answer:
WILLIAMS ; 50 miles per day
Step-by-step explanation:
Given that :
Williams travel times = Saturdays and Sundays
Total distance traveled = 400 miles
Jason travel times = Every weekday
Total distance traveled = 500 miles
Number of weeks in a month = 4
Hence, saturdays and Sundays = 4 * 2 = 8 days
Weekdays = 5 * 4 = 20 days
Miles traveled per day:
Williams :
Total distance / number of days
= 400 miles / 8 days
= 50 miles per day
Jason :
Total distance / number of days
= 500 miles / 20 days
= 25 miles per day
50 > 25
Hence, Williams travel more miles per day than Jason
What is the value of x?
Answers
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
Rearrange the formula
Help pls !!
Answers
Explanation:
Square both sides. As a result, you will get I^2 = P/R
Multiply both sides by R
I^2R = P
Divide both sides by I^2
R = P/I^2
Thus, the answer is A
(do not round the answer)what is
A. 3.48g+8.62=29.37
Answers
Answer:
The answer is 5.9626436782
how many cups are in 3 liters 1 L = 4.2 cups
Answers
Answer:
12.6 cups
Step-by-step explanation:
each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.
there are 4.2 in each cup so just times that by 3 and you get 12.6
Evaluate each value expression for the given value of x: 11 + x, x=12
Answers
Answer:
The value of 11+x at x=12 will be 23.
Step-by-step explanation:
Given the expression
[tex]11 + x[/tex]As we have to evaluate the expression at x=12
so substitute the value x=12 in the expression
[tex]11 + x[/tex]
[tex]=11+12[/tex]
[tex]=23[/tex]
Therefore, the value of 11+x at x=12 will be 23.
A and b are similar shapes the area of shap a is 200cm
Answers
A plumber charges a base fee of $ 60, and then each hour of work costs $ 15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $ 240. How many hours did the plumber work 3.75 hours 4 hours 12 hours 16 hours
Answers
Answer:
12 hours
Step-by-step explanation:
Step one:
given data
base fee= $60
charge per hour= $15
let the number of hours the plumber work be x
the linear function for the charge is the equation of line.
that is y=mx+c
Step two:
given that y=$240
240=15x+60
240-60=15x
180=15x
divide both sides by 15 we have
x=180/15
x=12
The number of hours is 12
A math book comprises of two sections: arithmetic and geometry in the ratio 5:3. How much of each type of content will be needed to make a book of 480 pages?
Answers
Answer:
Arithmetic content = 300 pages
Geometric content = 180 pages
Step-by-step explanation:
Arithmetic : Geometry = 5 : 3
Total pages of book = 480
How much of each type of content will be needed to make a book of 480 pages?
Total ratio = arithmetic + geometric
= 5 + 3
= 8
Arithmetic content = 5 / 8 × 480
= 0.625 × 480
= 300
Arithmetic content = 300 pages
Geometric content = 3 / 8 × 480
= 0.375 × 480
= 180
Geometric content = 180 pages
please answer quick and no the answer isn’t 15
Answers
180-73= 107
the angle is 107 degrees
Answer:
107
Step-by-step explanation:
The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.
This allows us to do 180 - 73 = 107
x would be 107.
Choose the correct answer below for the following problem:
(‒489) + (‒764) =
A.
‒1,253
B.
275
C.
1,253
D.
‒275
Answers
Step-by-step explanation Answer:
A -1253
-489-764 = -1253
Please mark brainliest !!!!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
um. its 70
Step-by-step explanation:
180-110.. parallel angels
Answer: 70°
Step-by-step explanation:
180-110 parallel angels