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mixer [17]
2 years ago
12

What is always true about the angles of an isosceles triangle? All three angles are congruent. At least two of the angles are co

ngruent. The vertex angle is a right angle. The vertex angle is obtuse.
Mathematics
1 answer:
iragen [17]2 years ago
8 0

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40

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Plz help I dont understand this at all
ANEK [815]
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80

2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110

3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60

4) these are all linear pairs. every angle shown has to be 90
3 0
3 years ago
Read 2 more answers
Hello I need help with my math homework that I don’t understand if you could help me out the would be great thank you
Klio2033 [76]

Answer:

3) 10

4) 12

hope that helps buddy

Step-by-step explanation:


4 0
3 years ago
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a tab
Viefleur [7K]

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

C(n) = 40n + 210

After 2 months:

This is C(2). So

C(2) = 40(2) + 210 = 80 + 210 = 290

After 12 months:

This is C(12). So

C(12) = 40(12) + 210 = 480 + 210 = 690

After 24 months:

This is C(24). So

C(24) = 40(24) + 210 = 960 + 210 = 1170

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

6 0
3 years ago
Find dy/dx when r=2 2cos(theta) , then find slope of tengent line at point(4, 2pi)
Korolek [52]

The slope of tangent line at point(4, 2pi) is undefined.

For given question,

We have been given a polar equation r = 2 + 2cos(θ)

We need find dy/dx as well as the slope of tangent line at point(4, 2π).

We know that, for polar equation we use,

x = r cos(θ)   and  y = r sin(θ)

plug the given value of r into these equations we get:

⇒ x = r cos(θ)

⇒ x = (2 + 2cos(θ) ) ×  cos(θ)

⇒ x = 2(cos(θ) + cos²(θ))

⇒ x = 2cos(θ) + 2cos²(θ)

Similarly,

⇒ y = r sin(θ)

⇒ y = (2 + 2cos(θ) ) ×  sin(θ)

⇒ y =  2(sin(θ) + sin(θ)cos(θ))

⇒ y =  2sin(θ) + 2sin(θ)cos(θ)

Now we find derivative of x and y with respect to theta.

\Rightarrow \frac{dx}{d\theta} =-2sin(\theta)+2(-2cos(\theta)sin(\theta))\\\\\Rightarrow  \frac{dx}{d\theta} =-2sin(\theta)-2sin(2\theta)          .............(1)

Similarly,

\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos^2(\theta)-sin^2(\theta))\\\\\Rightarrow \frac{dy}{d\theta}=2cos(\theta)+2(cos(2\theta))          ..............(2)

Now we find dy/dx

⇒ dy/dx = (dy/dθ) / (dx/dθ)

From (1) and (2),

\Rightarrow \frac{dy}{dx} =\frac{2cos(\theta)+2cos(2\theta)}{-2sin(\theta)-2sin(2\theta)} \\\\\Rightarrow \frac{dy}{dx} =\frac{2(cos(\theta)+cos(2\theta))}{-2(sin(\theta)+sin(2\theta))}\\\\\Rightarrow \frac{dy}{dx} =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}

We know that The slope of tangent line is given by dy/dx.

So, the slope is: m =-\frac{cos(\theta)+cos(2\theta)}{sin(\theta)+sin(2\theta)}

Now we need to find the slope of tangent line at point(4, 2pi)

Substitute θ = 2π in above slope formula.

\Rightarrow m =-\frac{cos(2\pi)+cos(2\times 2\pi)}{sin(2\pi)+sin(2\times 2\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{0+sin(4\pi)}\\\\\Rightarrow m=-\frac{1+cos(4\pi)}{sin(4\pi)}

⇒ m = ∞

The slope of tangent line at point(4, 2pi) is not defined.

This means, the tangent line must be parallel to Y-axis.

Therefore, the slope of tangent line at point(4, 2pi) is undefined.

Learn more about the slope here:

brainly.com/question/10785137

#SPJ4

8 0
2 years ago
14. Andrew earns $6.25 per hour. He works 4 hours per day, 5 days
swat32

Answer:

$125 per week

Step-by-step explanation:

Andrew earns $6.25 per hour. If he works for 4 hours, solution will be:

$6.25 × 4 = $25 per day.

If Andrew works 5 days per week, then he earns

$25 × 5 = $125 per week.

Therefore by estimate, Andrew earns $125 per week.

6 0
3 years ago
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