The given sides* have the ratio 30:39 = 10:13 in one triangle and the ratio 20:27 = 10:13.5 in the other triangle. Since these ratios are different, the triangles cannot be similar.

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* These are the sides bracketing the vertical angles at T. If the triangles were similar, the three sides would have to have the ratios 10 : 13 : 13.5.

However, the geometry shown would require that the angle opposite side 13.5 in one triangle have the same measure as the angle opposite side 13 in the other triangle. That is not possible, so it is not possible for these triangles to be similar.

6 0

3 years ago

Thomas has 12 more marbles than twice the number of marbles Andrew has.

Thepotemich [5.8K]

Answer:

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

3 0

3 years ago

A square pyramid is shown. What is the surface area?

ICE Princess25 [194]

Answer:The answer is B

Step-by-step explanation:

first find te height:

1.5/2=0.75 (this will be your "b" of the pythagorean theorem for finding the height)

now do the pythagorean theorem:

a^2+0.75^2=3^2

(height)= 2.905

A= a^2+2a√((a^2/4)+h^2)

a (base edge)= 1.5

h (height)= 2.905

Calculate and you get B as your answer.

Hope this elpsand you get this right!

7 0

3 years ago

Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

6 0

3 years ago