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Ainat [17]
3 years ago
5

Lines AB and CD intersect at E, mLAED = 110,

Mathematics
2 answers:
IgorC [24]3 years ago
7 0

Answer:

x = 10, y = 20

Step-by-step explanation:

Form a system of equations:

From the picture at the bottom you can see that vertical angles are equal, so:

3x + 2y = 70

Then, since the angles all together will add up to 360, you can do

3x+2y+9x+y+70+9x+y=360

21x+4y+70=360

subtract 70 from both sides

21x + 4y = 290

With the equation 3x + 2y = 70, multiply both sides by 2

6x+4y=140

Subtract the two equations:

15x=150\\x=10

Plug this into one of the original equations

30+2y=70\\2y = 40\\y=20

lakkis [162]3 years ago
5 0

Answer:

45,698,09864,58586,96403

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What will be the index of 2 for its value equal to 1/2​
Art [367]

Answer:

the index of 2 is -1

Step-by-step explanation:

2^{-1}

=\frac{1}{2^1}

=\frac{1}{2}

3 0
2 years ago
372 picoseconds equal to how many femoseconds
Vlad1618 [11]

Answer:

372,000 femtoseconds

Step-by-step explanation:

<u>1 picoseconds = 1000 femtoseconds</u>

372 picoseconds = 1000 * 372 femtoseconds

1000 * 372

372,000

Answer:  372,000 femtoseconds

5 0
2 years ago
What is the relationship between the variance and standard deviation? variance is the positive square root of the standard devia
lana [24]

Variance of a continuous random variable X is defined as

\int\limits_D {(x-\mu)^2f(x)} \, dx

Standard deviation is defined as

\sigma =  \sqrt{Var(X)}

Hence standard deviation is the positive square root of variance.

6 0
2 years ago
6. Jessica bought a new suitcase. The sales tax was 4.5%. If the amount of
ra1l [238]

Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

x × \frac{4.5}{100} = 6.93 (converted the percentage into fraction)

x = 6.93 x \frac{100}{4.5} (took reciprocal of 4.5/100 after moving it to the other side of the equation)

x = \frac{693}{4.5} (multiplied the values)

x = 154 $ (simplified the fraction)

make it the brainliest and get 20 years of luck : )

3 0
3 years ago
Read 2 more answers
Find the surface area of composite figures
Aleonysh [2.5K]

  • Answer:

<em>429 cm²</em>

  • Step-by-step explanation:

<em>A(blue) =</em>

<em>= 2×6cm×10cm + 2×6cm×8cm + 8cm×10cm + (8cm×10cm - 5cm×4cm)</em>

<em>= 120cm² + 96cm² + 80cm² + 60cm²</em>

<em>= 356 cm²</em>

<em>A(green) =</em>

<em>= 4cm×5cm + 2×5cm×5cm/2 + 4cm×7cm</em>

<em>= 20cm² + 25cm² + 28cm²</em>

<em>= 73 cm²</em>

<em>A(total) =</em>

<em>= A(blue) + A(green)</em>

<em>= 356 cm² + 73 cm²</em>

<em>= 429 cm²</em>

6 0
3 years ago
Read 2 more answers
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