Type the correct answer in each box.
Quadrilateral EBCD is an isosceles trapezoid with m∠EDC = 110°, m∠ABC = 133°, and m∠DEA = 114°.
m∠DEB = __°
m∠BCD= __°
m∠EAB= __°
Answers
Answer:
m∠DEB = _70_°
m∠BCD= _110_°
m∠EAB= _73_°
Step-by-step explanation:
To find ∠DEB:
Take the angle of ∠EDC, which is 110°. We know the total degree in a triangle is 180°. So, we do 180° - 110° to get 70°.
To find ∠BCD:
Because EBCD is an isosceles trapezoid, this means that ∠D and ∠C both have the congruent angles. Since we know ∠EDC is 110°, this means that ∠C is also 110°.
To find ∠EAB:
We know that m∠ABC is 133° and ∠DEA is 114°. However, both angles count both the triangle and trapezoid. Previously we figured out that ∠DEB is 70°. We'll take the angle of ∠DEA and subtract the angle of ∠DEB from it, which gets us 44°. To figure out the angle of ∠B, we take the angle of ∠ABC and subtract 70° or the angle of ∠DEB, which gets us 63°. Now we take the total degree of a triangle, 180° and minus both 44° and 63° from it, which is 73°.
- 2021 Edmentum
Related Questions
How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles
Answers
Answer:
1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
6 minutes x minutes
---------------- = ------------------
18 miles 1 mile
Using cross products
6 * 1 = 18 x
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 = x
1/3 minutes
A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?
Answers
Answer:the answer will be 48
Step-by-step explanation: 24 divided by 3 =8 x 6 =48
I REALLY HOPE THIS HELPS
Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10
Answers
Answer:
y=50
Step-by-step explanation:
[tex]\frac{1}{5}[/tex]y=10
y=10÷[tex]\frac{1}{5}[/tex]
=50
Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Group of answer choices 0.582 < p < 0.744 0.548 < p < 0.778 0.536 < p < 0.790 0.566 < p < 0.760
Answers
A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
The formula for calculating the confidence interval is expressed as;
[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]
p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645Substitute the given parameters into the formula to have:
[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]
Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
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Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15
Answers
Answer:
ADF
Step-by-step explanation:
A.root 75=root25 xroot3=5root3
B.=root15
C=75
D=5root3
E:=root9xroot5=3root5
F=root5xroot5xroot3=5root3
The solution is Option A , Option D , Option F
The values of the equations are √75 , √25 x √3 and √15 x √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 5√3 be equation (1)
On simplifying the equation , we get
The value of A = √ ( 5 )² ( 3 )
The value of A = √25 x √3
The value of A = √75
The value of A = √15 x √5
Hence , the values of the equations are √75 , √25 x √3 and √15 x √5
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If .60 = N could you write the expression .60N
Answers
Answer:
N+60
Step-by-step explanation:
if (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?
Answers
[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]
What is the slope of this graph?
a.4
b.−4
c.14
d.−14
Answers
Answer:
B
Step-by-step explanation:
just look at where the line crosses the coordinate plane
what number I am if I am a factor of 90 but not a multiple of 6 and 9 i am greater than 10 but smaller than 20
Answers
Answer:
15
Step-by-step explanation:
15 can go into 90, 6 times. It is neither a multiple of 6 or 9. It is larger than 10 and smaller than 20.
If you have to fly from JFK airport in New York to LAX airport in Los Angeles, you will fly 2,475 miles. If the average amount of time for a plane to fly from JFK to LAX is 5 hours and 30 minutes, what is the average speed that a plane flies on this trip? Include the appropriate units.
Answers
Answer:
450 miles / hour or 201.17 meters/second
Step-by-step explanation:
Speed = distance / time
Distance = 2475 miles
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I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.
Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours
2475 miles / 5.5 hours = 450 miles / hour
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3600 seconds = 1 hour
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Answer:
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Answer:
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Step-by-step explanation:
Multiply 4 by both sides
99 points
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k12 test interim checkpoint 4
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Answer:
Step-by-step explanation:
f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3
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Answers
Answer:
290
Step-by-step explanation:
(16+13)(12-2)= 29 * 10 = 290
Answer:
290
Step-by-step explanation:
(16+13)(12-2)
29*10
290
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Answers
Answer:
2Step-by-step explanation:
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:
f(x) = m*(x + 3) + 4, where m is the quotientThen 2f(x) - 6 is:
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How do you use observed data to predict unobserved
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Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
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[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.
Answers
The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
The equations are given as:
[tex]2y = 3x - 4[/tex]
[tex]4x - 2y=4[/tex]
Make y the subject in both equations
First equation
[tex]2y = 3x - 4[/tex]
[tex]y = \frac 32x - 2[/tex]
Second equation
[tex]4x - 2y=4[/tex]
[tex]y = 2x - 2[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where b represents the y-intercept
So: By comparison,
[tex]b_1 = 2[/tex] --- the y-intercept of the first equation
[tex]b_2 = 2[/tex] --- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
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C. title company
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Answers
The answer to your question is "payday lender"
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Samantha is about to buy her first new vehicle. She knows the model that she wants but all of the vehicles
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Which of the following is likely to be true?
Answers
Answer:
Samantha wants a simple, starter car, or the extra accessories have a higher price than the one's without it.
The original price of a Shirt was $45. In sales, the shirt is reduced to $32.50. Calculate the percentage reduction.
Answers
Answer:
27.8%
Step-by-step explanation:
[tex]\frac{32.5}{45} =0.722[/tex]
0.722 = 72.2%
The % reduction is:
(100-72.2)% = 27.8%
Hope this helps
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A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Answers
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
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Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
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what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3
Answers
[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]
Find the perimeter of the rectangle whose: length = 1m, breadth = 75cm
Pls all answer fast PLS
Answers
Answer:
The perimeter of the rectangle is 3.5 m or 350 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
3x+5y−7x+6=12
Calculate.Solve for x.
Answers
The value of x from the equation is x = (5y - 6)/4
Given the equation 3x+5y−7x+6=12
collect the like terms;
3x-7x + 5y + 6=12
-4x + 5y = 12 - 6
-4x + 5y = 6
Subtract 6 from both sides
-4x + 5y - 5y = 6 - 5y
-4x = 6 - 5y
4x = 5y - 6
x = (5y - 6)/4
Hnce the value of x from the equation is x = (5y - 6)/4
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NO LINKS!!
Which type of comic does not have vertices or foci?
Answers
Answer:
b) Circle
Step-by-step explanation:
All of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.
__
A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.
what is an equation of the line that passes through the points (2,-5) and (-3,-5)?
Answers
Answer:
y = -5
Step-by-step explanation:
yeah-ya....... right?
Answer:
Step-by-step explanation:
as both y values are -5, slope is zero and y intercept is -5
y = 0x - 5
y = -5
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answers
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got
what are the subsets of set B =(a. b. c. d)?
Answers
Answer:
{},{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
Step-by-step explanation:
[tex]5/4+3/4+1/4=[/tex]
Answers
=9/4
= 2 1/4
= 2.25
Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]
Answers
[tex]\huge \sf༆ Answer ༄[/tex]
The value of x is ~
[tex] \sf \: 83[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex][tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex][tex] \sf \: log_{3}(x - 2) = 4[/tex][tex]x - 2 = {(3)}^{4} [/tex][tex]x - 2= 81[/tex][tex]x = 81 + 2[/tex][tex]x = 83[/tex]You're welcome spammy ~
The value of x from the given expression is 5
Laws of logarithmGiven the logarithm expression
[tex]-6log_3(x-2)=-24[/tex]According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]
Applying this law to the given question, we can see that:
[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]
Cancel out the exponents to have:
x - 2 = 3
x = 2 + 3
x = 5
Hence the value of x is 5
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