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Marina86 [1]
3 years ago
5

Geometry math question no Guessing and Please show work thank you

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

m\angle DCA=m\angle BCA\ \text{therefore:}\\\\4x=6x-58\ \ \ \ |-6x\\\\-2x=-58\ \ \ |:(-2)\\\\x=29\\\\m\angle DCA=(4x)^o\to m\angle DCA=(4\cdot29)^o=116^o

Answer: C. 116

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I don't know how to do this question.
sergij07 [2.7K]
The perimeter is the measure around the shape, so just add all the sides together-
6+5x+x+2
6x+8
Since this is a right triangle, you multiply the legs (6 and x+2) and divide by 2
6(x+2)
6x+12
/2
3x+6
8 0
3 years ago
Let f(x) = x2 - 81. Find f-1(x).
dusya [7]
This is equivalent to finding a function g in which g(x^2-81)=x.

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, f^{-1}(x)=\sqrt{x+81}.
7 0
3 years ago
Given the diagram below find the value of x if the area is 21 aquare meters
Oksanka [162]

Answer:

The answer is <u><em>7</em></u>!

Step-by-step explanation:

(x-4) (x) = 21, x^2 - 4x = 21, x^2 - 4x - 21 = 0, (x - 7) (x + 3) = 0, x = 7 and -3; x can't be negative so the answer is 7!

x = 7 and x - 4 (other side) = 3

5 0
3 years ago
ABCD Is a rectangle that represents a park.
Andru [333]

Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = \sqrt{50^{2}+80^{2} } = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = \frac{15}{2} = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = \frac{47.123}{2} = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass  from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

3 0
3 years ago
Read 2 more answers
500
statuscvo [17]

Answer: The required ratio would be 3 miles : 4 minutes.

Step-by-step explanation:

Since we have given that

Speed of a cheetah = 45 miles per hour

So, it means

Distance = 45 miles

Time = 1 hour = 60 minutes

So, the ratio of the distance it travels to the time it takes would be

Distance : Time

45\ miles:60\ minutes\\\\=3\ miles :4\ minutes

Hence, the required ratio would be 3 miles : 4 minutes.

3 0
3 years ago
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