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3 years ago

M∠DEF = because they are_______

Mathematics

1 answer:

vovikov84 [41]3 years ago

3 0

Answer:

m∠GDE

alternate interior angles

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A cube has six sides that are numbered 1 to 6 the sides numbered 1, 3 and 5 are yellow and the sides numbered 2, 4 and 6 are ora

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Answer:

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The number can't be even and yellow if all yellow numbers are odd.

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3 years ago

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12. What is the value of x?

lutik1710 [3]

Answer:

68 degrees

Step-by-step explanation:

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-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Natasha_Volkova [10]

Answer:

$\boxed {a_{24} = - 70}$

Step-by-step explanation:

According to the following pattern sequence ( $-1, -4, -7, -10$ ), it is Arithmetic Sequence, because every negative number is subtracted by $3$ . So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

$a_{n} = a_{1} + (n - 1) d$

$a_{n}$ : nth term in the sequence

$a_{1}$ : 1st term

$n$ : term position

$d$ : Common difference

-Apply to the formula:

$a_{24} = -1 - 3 (24 - 1)$

$a_{n} = a_{24}$

$a_{1} = -1$

$n = 24$

$d = -3$

-Solve:

$a_{24} = -1 - 3 (24 - 1)$

$a_{24} = -1 - 3 (23)$

$a_{24} = -1 - 69$

$\boxed {a_{24} = - 70}$

Therefore, the 24th term is $-70$ .

8 0

3 years ago

What are the answers to these 2 question 4&5 PLZ HELP

Ahat [919]

The first problem:

y = -2 x² ⇒⇒⇒ x² = -y/2 →(1)33 x² + y² = 27 → (2)
By substitution from (1) at (2) with the value of x²
∴ 33 (-y/2) + y² = 27
∴ y² - 16.5 y - 27 = 0
a = 1 , b = -16.5 , c = -27
∴ $y= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{16.5 \pm \sqrt{(-16.5)^2-4*1*(-27)} }{2*1}$
∴ y = 18 or y = -3/2
By substitution from at (1) with the value of y
for y = 18 ⇒⇒⇒ x² = -18/2 = -9 (unacceptable)
for y = -3/2 ⇒⇒⇒ x² = -(-3/2)/2 = 3/4
∴ $x= \pm \sqrt{ \frac{3}{4} } = \pm \frac{ \sqrt{3} }{2} 
$
The correct options are 2 , 7
Solution of the system of equations is
$( \frac{ \sqrt{3} }{2} , \frac{-3}{2} )$
and
$( -\frac{\sqrt{3} }{2} , \frac{-3}{2} )$
==================================
The second problem:
The general equation of the hyperbole is
$\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Transverse axis is horizontal 

The equation if the asymptotes are y = \pm \frac{b}{a}x$
For the given equation:
$\frac{x^2}{225} - \frac{y^2}{36} = 1$
a² = 225 ⇒⇒⇒ a = √225 = 15
b² = 36 ⇒⇒⇒ b = √36 = 6
∴ the slope of the asymptotes = b/a and -b/a

b/a = 6/15 = 2/5

-b/a = -6/15 = -2/5

∴ m = 2/5 and m = -2/5

3 0

3 years ago

M∠DEF = __because they are_________

M∠DEF = because they are_______