Answer:
Recall each angle in a rectangle is 90 degrees. So to find the other portion, subtract the given angle from the 90 degrees.
Step-by-step explanation:
The missing measures of the angles are as follows:
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
to determine the measures of the angles:
The figure that completes the question is added as an attachment
From the figure of the rectangle, we have:
m∠BDC = 16°
A rectangle has four (4) interior angles that are 90 degrees each.
This means that
m∠ADE = 90 - 16
m∠ADE = 74°
Also, we have:
m∠ABD = m∠BDC = 16° by the alternate interior angles
By the complementary angle, we have:
m∠CBE = 90 - 16 = 74°
By the alternate interior angles, we have
m∠ADE = m∠CBE = 74°
Solving further, we have the following equations:
m∠AEB = 180 - 2(16)
m∠AEB = 148°
m∠DEA = 180 - m∠AEB
m∠DEA = 180 - 148
m∠DEA = 32°
Hence, the measure of the angle DEA is 32 degrees
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
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please help me and NOOO LINKS
Answer:
whats the shape
Step-by-step explanation:
Why ain’t nobody helping?
Please help!! ASAP Simplify the expression and enter your answer below. ;)
Answer:
(17^1/7)^7 SIMPLIFIED is 498.26016735
if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
6 A clothing store paid $30 for a jacket, and sold the jacket for $48.
What was the percent increase?
Answer:
60%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100
Answer:
60%
Step-by-step explanation:
Total increase in cost = $(48 - 30) = $18
Now,
% increase = Increase/Original amount × 100
=> 18/30 × 100
=> 18/3 × 10
=> 6 × 10
=> 60%
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
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PLEASEE HELPP I FORGOT HOW TO DO DIS !
The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is
1/2 • 4.6 mm • 3.4 mm = 7.82 mm²
Jossems cell phone cost
him $21 per month plus $3 for every 1GB of data downloaded. what is the limit to the number of GBs he can download to stay within his monthly budget of $30.
Answer:
Joe can only use 3GB of Data. Bill is 21 .
[tex]21 + 9 + 30[/tex]
[tex]1gb \: \: = 3[/tex]
3*9 = 93 ( 3 ) + 21 = 30Step-by-step explanation:
Hope this helps !!What si 19 3/4 + 19 3/8
Answer:
313 over 8=39 and 1 over 8 39 1 /8 =39.125
Step-by-step explanation:
90% of _______ is 18.
The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.
Answer:
length: 32.25 cmwidth: 10.75 cmStep-by-step explanation:
Let w represent the width. Then 3w represents the length. The perimeter formula is ...
P = 2(L +W)
P = 2(3w +w)
86 cm = 8w
w = 10.75 cm
3w = 32.25 cm
The rectangle is 32.25 cm long and 10.75 cm wide.
I watch television from 5 o clock until half past. How long do I watch for?
Answer:
5:30
Step-by-step explanation:
Important info:
watch television from 5 o clock until Half Past.
Question to Answer:
How long did you watch.
Note:
Half of 1 Hour = 30 Minutes
Solution:
5:30
Therefore You watch television until 5:30
common factor of 36 and 48
Answer:
12
Step-by-step explanation:
If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation
Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)
I'm pretty sure the answer is y=x+5
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Answer:
1. Parallelogram2. Parallelogram3. ParallelogramStep-by-step explanation:
I am un-sure of the answers. I apologize if this is incorrect.
Hoped this helped.
Y=-2|x+2|-4 i need to find y intercept and the x intercept
Answer:
x-int: ∅
y-int: (0,-8)
Step-by-step explanation:
To find the x and y-intercept, simply plug in zero for x and y:
[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]
Because an absolute value cannot be equal to a negative, there is no x-intercept.
[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]
Hope it helps :)
A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?
Answer:
130=monthly charge
119=one time installation fee
Step-by-step explanation:
119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!
[tex]\sf 8x+12-8x+15+15x-22-x[/tex]
Let's get it done !
[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex][tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex][tex]14x + 5[/tex]Answered by : " Unknown "
a^-13/ a^-6= ?
Rewrite the expression in the form a^n
Answer:
a^-7
Step-by-step explanation:
so when dividing exponents you subtract them so the exponents are -13 and -6 you would just subtract them
-13 - (-6) = -13 + 6 = -7
and so a^-7 is ur answer
9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?
10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint? · 9. 25 students each paid $6.50 to go to the museum ...
Calculate if possible
Answer:
25/4
Step-by-step explanation:
7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)
Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the length of 1,000 of these molecules?
I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.
Answer:
Type 2
Step-by-step explanation:
Equation of the line is:
y=2
slope is 0
the perimeter of a square is 72 inches, what is its area?
Answer:
A = 324 in²
Step-by-step explanation:
A square has 4 congruent sides s , then
s = 72 ÷ 4 = 18 in
The area (A) of a square is calculated as
A = s² = 18² = 324 in²
Evaluate –10 • x • 5 when x = –1.
–50
–15
6
50
Which is the graph of y = [x]-2?
Answer:
Step-by-step explanation:
number 1
don't know the answer pls help :p
Answer:
(b) increase the height so the slant height triples
Step-by-step explanation:
The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.
To triple the lateral area, you can ...
increase the height so the slant height triples
help quick! Which BEST describes the tables?
Answer:
D. Neither table represents a function
Step-by-step explanation:
Functions require a key to go by. In this case, none of the two tables have a key from the start going down.
Which situation shows a constant rate of change?
A. The outside temperature compared with the time of day
B. The cost of a bunch of grapes compared with its weight
C. The height of a bird over time
D. The number of tickets sold compared with the number of minutes before a football game
simplify the radical 99
Step-by-step explanation:
The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.