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3 years ago

What is the value of X in the triangle attached?

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Answer:

X = 22°

Step-by-step explanation:

Accordng to Exterior Angle Sum Property , measure of an exterior angle is equal to the sum of the 2 interior opposite angles.

So,

$(2x) + (103 - x) = 6x - 7$

$= > x + 103 = 6x - 7$

$= > 6x - x = 103 + 7$

$= > 5x = 110$

$= > x = \frac{110}{5} = 22$

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Can any one tell me how to do this problem?

Vika [28.1K]

(1/2)/2=3/x
we can cross multiply, aka multiply both sides by 2x
(1/2)x=2*3
(1/2)x=6
times 2/1 both sides
x=12

5 0

3 years ago

Henry knows that the circumference of a circle is 18mc006-1.jpg inches. What is the area of the circle?

lesantik [10]

The complete question is:
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?

Solution:
Circumference (C) of the circle can be written as:

$C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9$

Using this value of radius, we can find the Area(A) of the circle.

$A= \pi r^{2} \\ \\ 
A= \pi (9)^{2} \\ \\ 
A=81 \pi$

Therefore, area of the circle having a circumference of 18π inches will be 81π inches²

5 0

3 years ago

?.?.?.?.??.?..?.?.???..?..?

Mice21 [21]

Answer:

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

6 0

3 years ago

What is the scale factor in the dilation ? 1/6 1/3 3 6

anzhelika [568]

Answer:

Step-by-step explanation:

1) Find two corresponding lengths between the image and the pre-image

Pre-image (bottom side) = 3 units

Image (bottom side) = 9 units

We can use any corresponding lengths for this step.

2) Divide the length of the side from the image by the length of the side from the pre-image

9 units ÷ 3 units

= 3

Therefore, the scale factor of the dilation is 3.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Write the improper fraction as an improper 6 4/13

Contact [7]

Answer:

82/13

Step-by-step explanation:

3 0

3 years ago