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2 years ago

The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.

Mathematics

1 answer:

vichka [17]2 years ago

7 0

Answer:

The first angle is the smallest

Step-by-step explanation:

Step one:

given data

Angle 1= x+37

Angle 2= 90

angle 3= x+67

We know that the sum of angle in a triangle is 180

x+3+90+x+67= 180

collect like terms

2x+160= 180

2x=180-160

2x= 20

divide both sides by 2

x= 10

Step two:

Angle 1= 10+37= 47 °

Angle 2= 90= 90

angle 3= 10+67= 77 °

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Which expression is the factored form of 2/3x+4 ?

frosja888 [35]

Answer:

Option C.

Step-by-step explanation:

The given expression is

$\dfrac{2}{3}x+4$

We need to find the factored form of the given expression.

The given expression can be rewritten as

$\dfrac{2}{3}x+(\dfrac{2}{3}\times \dfrac{3}{2})\times 4$

$\dfrac{2}{3}x+\dfrac{2}{3}(6)$

It is clear that $\frac{2}{3}$ is common.

Taking out common factors, we get

$\dfrac{2}{3}(x+6)$

It is the factored form of the given expression.

Hence, the correct option is C.

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2 years ago

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15 points please help

Molodets [167]

The answer is x= -21

3x-3=6(x-10)

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2 years ago

Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it

kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

$\dfrac 5 y - \dfrac 2 x = \dfrac{13}6$

Multiply by 6xy to clear the fractions.

$30x - 12y = 13 xy$

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.

$30x = y(13 x +12)$

$y = \dfrac{30x}{13 x + 12}$

Let's clear the fractions from the second equation, multiplying out common denominator xy:

$\dfrac {36} x - \dfrac {24} y = 1$

$36y - 24 x = xy$

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

$36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)$

$36(30x) -24 x(13x + 12) = 30x^2$

$1080 x - 312 x^2- 288 x = 30x^2$

$x(792 - 342 x)= 0$

$x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}$

We have to rule out x=0 because it's in the denominator.

$y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}$

$y = \dfrac{33}{20}$

Answer: (44/19, 33/20)

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2 years ago

Disregarding wind resistance the distance a body falls from rest varies directly as th squares of the time it falls if a skydive

Firdavs [7]

Answer:

The skydiver will fall 1600 ft in 10 seconds.

Step-by-step explanation:

<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>

Let distance = s

time = t

Therefore , s = k $\times t^{2}$

Given, the body falls 64 ft in 2 seconds.

Substituting in above equation,

64 = k $\times (2)^{2}$

64 = k $\times (4)$

k = $\frac{64}{4}$

k = 16 ft/ $s^{2}$

We have to find how much he will fall in 10 seconds.

s = k $\times t^{2}$

s = $16 \times 10^{2}$

s = $16 \times 100$

s = 1600 ft

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2 years ago

Please answer correctly! I will mark you Brainliest!

weeeeeb [17]

Answer:

4.1 inches

<u>I would appreciate Brainliest, but no worries.</u>

4 0

2 years ago

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