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nlexa [21]
3 years ago
11

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD

Mathematics
2 answers:
tangare [24]3 years ago
8 0
X/10 = 10 / 16
16x = 100
    x = 100/16
    x = 25/4

answer is F. 25/4

n200080 [17]3 years ago
4 0
ANSWER ON APEX IS 25/4.
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Help please! Could you explain it too?
Anettt [7]

Answer:

a) not proportional

b) proportional; k = -\frac{3}{5}

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0
2 years ago
ABCEDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is . It will take incre
Mrrafil [7]

Answer:

45 or multiples of 45 around the centre of octagon

Step-by-step explanation:

Given that ABCDEFGH is a regular octagon.  i.e. it has 8 sides.

Since regular ocagon, all interior angles would be equal.

Sum of all interior angles of octagon = 2(8)-4 right angles

= 12 right angles

Hence each angle = 12(90)/8 = 135 degrees

Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal

Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis.   OB has to be coincident with BC the next side or the previous side to get it mapped onto itself

The centre will be at the middle with each side subtending an angle of 45 degrees.

Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.

45, 90, 135 thus multiples of 45

8 0
3 years ago
PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST
Veronika [31]

Answer:

First one is a, second one is d, and the third one is b

Step-by-step explanation:

hope this helps friend

3 0
2 years ago
The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measur
Phantasy [73]
If one inch = 2.54 centimeters, then 45 centimeters divided by 2.54 centimeters will give you the amount of inches the piece of wood needs to be.

45/2.54 = 17.72  ---- Rounded to the nearest quarter, would be 17.75 inches.
6 0
3 years ago
Read 2 more answers
Jayden and Derek go to Chipotle. Jayden gets a burrito for $7.49 and Derek gets a lifestyle bowl for $8.29. They each get a drin
madam [21]

Answer:

$18.97

Step-by-step explanation:

Add $7.49, $8.29, and $1.79 together= $17.57.

Then, add the 8% tax. So $17.57+8% of tax= $18.97.

3 0
2 years ago
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