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3 years ago

In the figure, ΔABC ΔEDC. Solve for x. Show your work.

Mathematics

2 answers:

rjkz [21]3 years ago

6 0

Answer:

x = 13

Step-by-step explanation:

Since the Two triangles are equivalent then angles B and D are isometric

i e 8x+16=120 then 8x=120-16 then 8x=104 then x=104÷8=13

lys-0071 [83]3 years ago

5 0

Answer:

x=13°

Step-by-step explanation:

It is given that triangles ABC and EDC are similar, therefore angles ABC and EDC have the same measurement. Using this information, we can set up an equation.

$(8x+16)=120$

We can remove the parentheses, as they are unnecessary.

$8x+16=120$

We can now solve the equation for x. The first step is subtracting 16 from both sides.

$8x=104$

We can now divide both sides by 8, to isolate x. 104/8=13.

$x=13$

Lets not forget to add the degree symbol, as the problems is dealing with degrees.

x=13°

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Simplify the following using exponent laws, giving your answer in simplest exponential form: (23/41)^8

spayn [35]

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If those are in ur problem use it the way it’s put

3 0

3 years ago

X+5 = 57-26<br> Solve for x!!

Alona [7]

First, we must subtract

______

Second, we isolate the variable!

X + 0 = 31 - 5

X+0 = 26

X=26

Finally,Plug it in

26 + 5 = 57 - 26

26 + 5 = 31

31 = 31

Check

Hope I helped!

Good Luck!

6 0

3 years ago

Read 2 more answers

For questions #6-8, use this data set and show your work  5, 10, 12, 4, 6, 11, 13, 5

Pachacha [2.7K]

Mean (average) can be found by adding up all the numbers and then dividing that by how many numbers there are.
(5+10+12+4+6+11+13+5) / 8 = 66/8 = 8.25 <==

the mode (the number used most often) = 5....just so u know, there doesn't have to be a mode, and sometimes there is more then 1 mode. But for this one, the mode is 5. <==

median (the middle number)...for this, u put the numbers in order...
4,5,5,(6,10),11,12,13
now start moving from both ends going inward until u find the middle number...keep in mind, when u have an odd number of numbers, u will have 1 middle number.....but when there is an even number of numbers, like in this case, u will have 2 middle numbers...so u take ur 2 middle numbers, add them, then divide by 2 to get ur median.
median = (6 + 10) / 2 = 16/2 = 8 <==

8 0

3 years ago

Determine the value of each expression.<br> i2 =

BigorU [14]

=-2i
you flip it to the reciprocal which would be -2i

5 0

3 years ago

If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

5 0

3 years ago