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3 years ago

Question 8 of 10

Mathematics

1 answer:

Anastaziya [24]3 years ago

8 0

Answer:

C. Same shape

D. Similar

Step-by-step explanation:

All three angles in ∆ABC are congruent to all three corresponding angles in ∆DEF. However, the three corresponding sides of both ∆s are not the same but they are proportional to each other.

This implies that, both triangles are similar.

Similar triangles have the same shape but different size.

Thus, ∆ABC and ∆DEF can be referred to as being similar and also having the same shape.

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Solve for x: a(x+b)-c=d

tankabanditka [31]

D=ab-c Theres your answer
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7 0

4 years ago

Can someone please help me I’ll give brilliant thingy

cricket20 [7]

Answer:

Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.

Step-by-step explanation:

For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.

In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.

To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.

9/6 = 3/2

12/8 = 3/2

15/10 = 3/2

Alternatively:

6/9 = 2/3

8/12 = 2/3

10/15 = 2/3

Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.

Given that both conditions are satisfied, then we can say these triangles are similar.

Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.

Cheers.

8 0

3 years ago

Write a linear function f with f(0)=7 and f(3)=1.

choli [55]

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

$slope = - 2$

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

$m = slope$

I choose point (( a )) to put in the equation.

$y - 7 = - 2 \times (x - 0)$

$y - 7 = - 2x + 0$

$y - 7 = - 2x$

Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

Done...

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3 years ago

By October 19th, Gordon had read 35 pages. Starting on October 20th, he decides to read the same number of pages each day until

PilotLPTM [1.2K]

Gordon read a total of 35 pages, so if there is p pages read per day and 10 days you'd have something that looks like this: 35 = 10p.

8 0

3 years ago

When dividing the polynomial 3x3 - 5x2 - 4x + 4 by (x - 2), the remainder is 0, making (x - 2) a factor.

Ne4ueva [31]

(3x^3 - 5x^2 -4x + 4) / (x-2) = (3x-2)(x+1) when x ≠2

3 0

3 years ago