Which decimal does NOT represent the amount shaded in the grid? M

qaws [65]

Answer:

10

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$

7 0

3 years ago

URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP

Otrada [13]

The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13

The two lines can be anything as long as they give this solution

For example, if you wrote x + y = 16 (you know their values already)

Then write another y - x = 10

From here you have your equations, turn them into the f(x) form.

x + y = 16 can be turned into y = 16 - x which is f(x)=16-x

y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x

8 0

3 years ago

Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).

bonufazy [111]

9514 1404 393

Answer:

a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.

b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.

Step-by-step explanation:

1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.

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2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.