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Stells [14]
3 years ago
12

Does anyone know what I am missing to get the final mark? Any ideas would be much appreciated :)

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer: Isosceles

<u>Step-by-step explanation:</u>

Given: AB || DE ,  BC is a transversal

∠ABC ≅ ∠BCE by Alternate Interior Angles Theorem --> ∠BCE = 80°

∠DCA, ∠ACB, & ∠BCA are supplementary  --> ∠ACB = 50°

By the Triangle Sum Theorem, ∠A+∠B+∠C  = 180° --> ∠CAB = 50°

Triangle is isosceles because ∠A ≅ ∠C

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Find the total surface area of this cone.
3241004551 [841]

Answer:

Step-by-step explanation:

Total surface area of a cone is given by the expression,

SA = πrl + B

Here, r = Radius of the circular base

l = slant height

B = Surface area of the base

Surface area of the circular base = πr²

                                                       = π(5)²

                                                       = 25π cm²

Slant height 'AC' = \sqrt{AB^2+BC^2}

                            = \sqrt{h^2+r^2}

                            = \sqrt{5^2+(12)^2}

                            =  13 cm

Substitute the values in the expression of surface area,

SA = π(5)(13) + 25π

     = 65π + 25π

     = 90π cm²

Therefore, SA = 90π cm² will be the answer.

6 0
3 years ago
Together, Steve and Tom sold 86 raffle tickets for their school. Steve sold 14 more than twice as many raffle tickets as Tom. Ho
bonufazy [111]

86= Steve + Tom

Steve= 14+2(Tom)

86= (14+2T) + T

86-14 = 3T

62 = T

Steve sold 62 tickets

86-62 = 24 tickets Tom sold




3 0
3 years ago
Need help with What is F(x)=a*b^x please explain the steps
lubasha [3.4K]

9514 1404 393

Answer:

  • 3
  • 3
  • (1,6)
  • 2
  • f(x) = 3·2^x

Step-by-step explanation:

The blanks you're to fill in explain the steps.

The y-intercept is the value of the function when x=0. It is where the graph crosses the y-axis.

  f(0) = a·b^0 = a·1 = a

Reading the y-intercept from the graph, we see ...

  The y-intercept is 3. The a-value of the function is 3.

__

The point when x=1 is ...

  f(1) = a·b^1 = 3b

Reading the value from the graph, we find the point to be (1, 6). This means ...

  3b = 6

  b = 2 . . . . . . . divide both sides by 3

 The point when x=1 is (1, 6). The b-value of the function is 2.

 The equation of the function is f(x) = 3·2^x.

3 0
3 years ago
Solve 20 – 3.8x= -14 - 5.8x.<br><br> The solution is x=
Darina [25.2K]

age Textfrom this Question

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If f(x) =2x - 3, find the following<br><br> 1. f(-2)<br> 2. f(7)<br> 3. f(-4)
AlekseyPX

Answer:

1. f(-2) = -7

2.f(7) = 11

3. f(-4) = -11

Step-by-step explanation:

1. substitute x = -2 in f(x)

The function becomes :

f(-2) = 2×(-2) - 3 = -7

2. substitute x = 7 in f(x)

the function becomes:

f(7)= 2×7 - 3 = 11

7 0
3 years ago
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