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4 years ago

I don’t know what to do here

Mathematics

2 answers:

Rudik [331]4 years ago

5 0

The answer is CD = √3

This is because of the fact that a 30-60-90 right triangle has proportions of 1-√3-2 based on the length opposite of the angle. Since we are given the segment opposite to the right angle as 2, we know that we can use the base numbers for the proportions to find the rest. Since CD is opposite of the 60 degree angle, it must be √3.

miss Akunina [59]4 years ago

3 0

The ratio of the sides in a 30-60-90 triangle are 1:sqrt3:2 where 1 is shortest leg and 2 is the hypotenuse so in the big triangle:-

BC= 2, AB = 4 and AC = 2sqrt3.

Similarly for triangle CDB

BC = 2 therefore CD = sqrt3 answer

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The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original num

spin [16.1K]

ANSWER: 
The original number is 64

SOLUTION:
Let the two-digit number be ab, where 'a' is the tens digit and 'b' is the units digit.
"The sum of the digits of a two-digit number is 10" implies
a + b = 10 (Equation 1)

"When the digits are reversed, the new number is 18 less than the original number" is algebraically written as
ba = ab - 18
>> bx10 + ax1 = (ax10 + bx1) - 18
>> 10b + a = 10a + b - 18
>> 9a - 9b = 18
>> 9(a - b) = 18
>> a - b = 2
>> a = b + 2 (Equation 2)

Now substitute equation 2 in equation 1 to get
a + b = 10
>> (b + 2) + b = 10
>> 2b = 8
>> b = 4

Plug this value back in equation 1 to get
a = b + 2 = 4 + 2 = 6

So a = 6 and b = 4. Hence, the original number is 64.

CHECK:
Given: The sum of the digits of a two-digit number is 10
Check: 6 + 4 = 10 (so it is true)

Given: When the digits are reversed, the new number is 18 less than the original number
Check:
Digits reversed: 64 reversed becomes new number 46, and 46 is 18 less than 64, that is, 46 = 64 - 18.

4 0

4 years ago

Read 2 more answers

) Solve the simultaneous equations x + 6y = 20 х+ x + 2y = 8

ollegr [7]

Answer

x + 6y = 20 {eq -1}

x + 2y = 8. {eq-2)

elimination method

4y=12

4. 4

y=3

substitute y=3 into eq 2

x + 2y =8

x +2(3)=8

x +6=8

x=8-6

x=2

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3 years ago

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Given: ∆DEK, DE = EK EF − ∠ bisector of ∠E m∠DEF = 44° DK = 16 Find: KF m∠DFE

EastWind [94]

Answer:

So let me help you!

Step-by-step explanation:

KF = 8 units

m∠DFE = 90°

We know that DK is 16 so you would just have to divide it by 2

$\frac{16}{2} =8$

Since EF is a bisector, split it right down the middle means it will be equal to 90 degrees.

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2 years ago

Gary’s is a small publishing company that publishes math books. The production costs include a one-time cost for editing the boo

sveta [45]

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3 years ago

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lesya [120]

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3 years ago