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3 years ago

Please identify the common angles and sides or if there are non. Explain all work please!

Mathematics

1 answer:

vova2212 [387]3 years ago

8 0

Answers:

Common angles: ΔBGC and ΔGDC

Common sides: ΔGE and ΔAG

A common angle is a triangle that exists in two or both of the triangles.

Here, the common angles should be ΔBGC and ΔGDC.

These two angles are triangles, and they consist in both triangles.

A common side is when two angles have one vertex in the same area.

Here, we see that the common sides are ΔGE, because they intersect.

Another common side we see here is ΔAG, because they also intersect.

Hope this answer helps you!

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What is the y-intercept of the equation of the line that is perpendicular to the line y =

igor_vitrenko [27]

Answer:

y=-5/3x+20

Step-by-step explanation:

Let the equation of the required line be represented as $y=mx+c$

This line is perpendicular to the line $y=\frac{3}{5}x+10$

$=>m*\frac{3}{5}=-1$

$=>m=\frac{-5}{3}$

So the equation of the required line becomes $y=\frac{-5}{3}x+c$

This line passes through the point (15.-5)

$-5=\frac{-5}{3}*15+c$

$=>c=20$

So the equation of the required line is $y=\frac{-5}{3}x+20$

Among the given options, option 4 is the correct one.

3 0

3 years ago

What would be the answer

sashaice [31]

Answer:

I think It's option (B) 45

Step-by-step explanation:

But I am not sure It's correct or not

I hope It's helpful

6 0

3 years ago

Simplify 12n-2n⁴-10n-2n⁴+n a. 4n⁴+3n b. 3n c. -4n⁴+3n d. -n¹¹

Serjik [45]

The answer is C. -4n⁴+3n.

Separate the expression by its like terms.

12n-2n⁴-10n-2n⁴+n

12n+(-10n)+n=3n

-2n⁴+-2n⁴=-4n⁴

The simplified expression comes out to -4n⁴+3n.

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3 years ago

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Thomas went on a hike. He climbed 34 of a mile in 23 of an hour. What was his hiking speed in miles per hour?

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

5 0

3 years ago

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Help please

rusak2 [61]

Answer:

See below

Step-by-step explanation:

f(x) is quadratic function and g(x) is linear (since AP in the right column).

Find the equation of the function f(x), use the points on the graph:

f(x) = ax² + bx + c

c = 5 as the y-intercept is (0, 5)
a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4

The function is:

f(x) = -x² + 4x + 5

Find the equation of g(x)

Find the slope of g(x):

m = (1 - 7)/(-1 + 4) = -2

Use (-4, 7) to find its equation:

y - 7 = -2(x + 4)
y = -2x + 7 - 8
y = -2x - 1

<h3>See the required comparison below</h3>

The y-intercepts:

f(x) ⇒ 5,
g(x) ⇒ -1
-5 < - 1

Values at x = 3:

f(3) = -3² + 4(3) + 5 = 8
g(3) = -2(3) - 1 = - 7
8 > 7

Average rate of change in the interval [2,5]:

f(x) ⇒ (0 - 9)/(5 - 2) = -3
g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
-3 < -2

Max of function in the interval [-5, 5];

f(x) ⇒ 9, vertex of the function
g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
9 = 9

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3 years ago

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