Considering the angle theorems, the appropriate answer to the question is option D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate
In the diagram, lines BC and ED are parallel and both were intersected by a transversal AE. Thus it can be observed that:
m<ABC = BED = [tex]70^{o}[/tex] (corresponding angle theorem)
But,
m<BEC + m<CED = m<BED (angle addition postulate)
with m<CED = [tex]30^{o}[/tex], and m<BED = [tex]70^{o}[/tex]
So that,
m<BEC + [tex]30^{o}[/tex] = [tex]70^{o}[/tex]
m<BEC = [tex]70^{o}[/tex] - [tex]30^{o}[/tex]
= [tex]40^{o}[/tex]
m<BEC = [tex]40^{o}[/tex]
Since linear pair are two angles that add up to [tex]180^{o}[/tex]. Therefore the required answer is option D.
i.e D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate
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If x≠0, which expression is equivalent to this expression?
Step-by-step explanation:
Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex] ; [tex]x\neq 0[/tex] so
[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]
>>[tex](x^{3/4})/x^{1/12}[/tex]
>>[tex]x^{2/3}[/tex]
I need helppppp plus!!!!
if f(X+4) =3x+2 ,then find the value of f(4) please explain our answer in a clear way
[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]
Taking y=x+4 so x=y-4[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]
Hence
[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]
So
[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]
[tex]\\ \sf\longmapsto f(4)=12-10[/tex]
[tex]\\ \sf\longmapsto f(4)=2[/tex]
Answer: 2
hi,
Step-by-step explanation:
[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]
HELP FAST A vertical slice through a three-dimensional solid produces a two-dimensional shape. (shape is a triangle)
Answer:
the surface of "C" would be a triangle if sliced vertically
Step-by-step explanation:
If vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.
In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.
A triangular prism is a solid shape that has a triangular cross-section. If you were to take a vertical slice through the prism, the resulting two-dimensional shape would be a triangle.
Hence, if vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism
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In a series of three numbers, the second number is 3 less than the first, and the third is three times the second. If the first number is
x,
how much greater than the second number is the third number
third number?
Help with the length of the third side?
Answer:
C. c = 10
Step-by-step explanation:
You have to use the Pythagorean theorem:
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Answer:
c = 10
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 8^2 = c^2
36+64= c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 -c
24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
Answer:
......................
Ronnie can buy invitations in packages of 12 and envelopes in packages of 10. Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over. How many packages of invitations and how many packages of envelopes did Ronnie buy? Enter your answers in the boxes. packages of invitations packages of envelopes
Answer:
5---6
Step-by-step explanation:
Given, the package of invitations contain [tex]12[/tex] invitations and package of envelopes contain [tex]10[/tex] envelopes.
Let [tex]x[/tex] and [tex]y[/tex] denote the number of invitation packages bought by Ronnie respectively.
It is given that, Ronnie bought the fewest number of invitations and envelopes so that there is exactly one envelope per invitation with none left over.
That is,[tex]12x-10y=0[/tex].
When, [tex]x=1[/tex] the value of [tex]y[/tex] becomes [tex]1.2[/tex].
It is not possible, since the number package cannot be in decimals.
When, [tex]x=2[/tex] the value of [tex]y[/tex] becomes [tex]2.4[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=3[/tex] the value of [tex]y[/tex] becomes [tex]3.6[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=4[/tex] the value of [tex]y[/tex] becomes [tex]4.8[/tex].
This is not possible, since the number package cannot be in decimals.
When, [tex]x=5[/tex] the value of [tex]y[/tex] becomes [tex]6[/tex].
This is not possible, since the number package cannot be in decimals.
Thus, Ronnie bought [tex]5[/tex] packages invitations and [tex]6[/tex] packages envelopes so that there is exactly one envelope per invitation with none left over.
factor of -2800 and -2
Step-by-step explanation:
factors of -2 = -1 and -2
factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800
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DF is the altitude to the hypotenuse EC. What is the length of DE?
Select the best answer from the choices provided.
A. 3
B. 6
C.12
D. 24
Answer:
D
Step-by-step explanation:
Using the Altitude- on- hypotenuse theorem
DF² = CD × DE , substitute values
12² = 6 DE
144 = 6 DE ( divide both sides by 6 )
24 = DE → D
What is the sum of 9.8 and 12.05 please i need help
4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌
Step-by-step explanation:
4-2x+8/3 = 6x+15/2
12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)
20-2x/3=6x+15/2
Do cross multiplication
2(20-2x) = 3(6x+15)
40-4x=18x+45
-4x-18x=45+40
-22x= 85
-x= 85/22
x= - 3.86..
hope it helps
The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold and the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there?
Answer:
2,172 adults
Step-by-step explanation:
Let adults = x
children = y
x + y = 5400
9.5x + 6.5y = 41,616
Let's use the elimination method to solve this.
Multiply the top equation by -6.5
(x + y = 5400)-6.5
-6.5x - 6.5y = -35100
This will allow us to eliminate the y and add up the other terms
9.5x + 6.5y = 41,616
-6.5x - 6.5y = -35100
3x = 6516
Divide both sides by the coefficient, 3, to isolate the variable, x
3x/3 = 6516/3
x = 2172
What is the meaning,cause and effect of glaucoma
Answer:
Glaucoma is a group of eye conditions that damage the optic nerve, the health of which is vital for good vision. This damage is often caused by an abnormally high pressure in your eye. Glaucoma is one of the leading causes of blindness for people over the age of 60.
Step-by-step explanation:
Hope it does not help Lol ;)
If hexagon ABCDEF is similar to hexagon KLMNOP, which of the following must be true?
Step-by-step explanation: Similar figures have the same shape, but not necessarily the size. If two figures are similar, then their corresponding angles are congruent so <E ≅ <O because these are the corresponding angles in the similarity statement.
Answer: <E ≅ <O
Step-by-step explanation:
-2/3y - 3/4 = 5? with work please!
Answer:
-69/8
Step-by-step explanation:
-2/3y - 3/4 = 5
-2/3y = 23/4
y = -69/8
n÷102=0.123
What is the value of n
Answer:
n = 12.546
Step-by-step explanation:
to find the value of n we need to transpose
n ÷ 102 = 0.123
n = 0.123 × 102
n = 12.546
Which number comes first when the numbers are listed from least tò greatest?
Answer:
the least
Step-by-step explanation:
Answer:
-∞
Step-by-step explanation:
Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.
A base angle of an isosceles triangle contains 75º. How large is the vertex angle?
(A) 75°
(B) 30°
(C) 1050
(D) 210°
(E) 40°
The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community
g(r) = -1 - 77
g(6)=
Answer:
g(6) = -1 -77
because the expression doesn't have r
Step-by-step explanation:
The freshman class is planning a picnic. The cost of a permit to use the park is
$250. To pay for the permit, there is a fee of $.75 for each freshman and $1.25 for
each guest who is not a freshman. Two hundred freshman plan to attend. How many
guests must attend in order to at least pay for the permit? Let g represent the number
of guest attending.
Answer:
80
Step-by-step explanation:
Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.
[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto P=430(0.83)[/tex]
[tex]\\ \sf\longmapsto P\approx361m[/tex]
P=Height of towerExpress the following ratio as a whole number ratios in the simplest form 10cm : 1.5m
Answer:
1/15
Step-by-step explanation:
1.5 m = 100*1.5 = 150 m
so
10/150 = 1/15
what is 90% of 760 . what is the answer
Answer:
684
Step-by-step explanation:
Since 90% = 0.9
0.9 x 760
Which equals 684
Please mark as brainliest
Answer:
=684
Step-by-step explanation:
90% of 760
90/100 x 760
=684
Stefan was baking cookies that called for 2 3/4 cups sugar and 3 1/2 cups flour. About how many total cups of ingredients does Stefan need? Round to the nearest half.
Step-by-step explanation:
Stefan ask ur mom the total cups of ingredients
V = (pi r^2 h/3)...solve for h
Answer:
h = (3×V)/ (pi×r²)
Step-by-step explanation:
[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]
[tex]3 \times v = \pi {r}^{2} h[/tex]
[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]
!!I’LL GIVE BRAINLIEST!! What additional information would you need to conclude that DE is the perpendicular bisector of AC?
Answer:
I believe that the answer is NONE the right angle at B should be enough information to prove that DE is ⊥ to AC
Step-by-step explanation:
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If two triangles are congruent, then the ratio of the corresponding sides will be ONE.
The line DE is the perpendicular bisector of AC. Then we have
In triangles ΔABD and ΔCBD,
DB = DB (Common side)
∠ABD = ∠CBD = 90°
AB = BC (Bisector length)
By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.
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Solve: XXVI - IV. Show your answer in standard form. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V x L lulolz A) 22 B) 20 C) 19
Answer:
22
Step-by-step explanation:
these i can do keep sendin em in
Answer:
22
b/c XXVI - IV
(26 - 4 )
=22
3
(a)
The highest common factor and lowest common multiple of two numbers are
2x 52 x 7 and 22 x 3x 57 respectively. If one of the numbers is 22 x 52 x7, find the
other number. Express your answer as a product of prime factors in index notation.
Find the smallest positive integer p such that 1125xp is both a perfect square
and perfect cube. Explain your answer.
(b)
The answer is in the picture. I haven not finished question (a) since I think there might be a typing error in the question. So, could you check the question again please?