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AfilCa [17]
2 years ago
13

What is the value of 3 in the figure shown below?

Mathematics
1 answer:
NeX [460]2 years ago
7 0

9514 1404 393

Answer:

  32

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

  ∠E = 180° -118° -30° = 32°

The value of x is 32.

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What is a good estimate for 380% of 20
Ostrovityanka [42]

Answer:

380 divided by 20 is your answer

Step-by-step explanation:

7 0
2 years ago
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The hypotenuse of a right triangle is 10cm long. The longer leg is 2cm longer than the shorter leg. Find the side lengths of the
Crazy boy [7]
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b =  legs of a right-triangle
c = length of hypotenuse

Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 +   S^2+4S+4  = 100 cm^2   [collect terms and isolate]
2S^2+4S =  100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0   means (S+8)=0, S=-8
or                                   (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm

5 0
3 years ago
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

3 0
3 years ago
Read 2 more answers
If you reflect the image over the x - axis, what are the new coordinates of the shape?
lutik1710 [3]

Greetings!

When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.

This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).


Hope this helps!

8 0
3 years ago
Calculate the surface area of a solid box in the shape of a cube with<br> side length 3cm.
RoseWind [281]

Answer:

54 cm^2

Step-by-step explanation:

side ( a ) = 3 cm

Formula : -

Surface area ( cube ) = 6a^2

Surface area ( cube )

= 6 x ( 3 )^2

= 6 x 9

= 54 cm^2

6 0
3 years ago
Read 2 more answers
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