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Aleks04 [339]
3 years ago
9

Determine whether the two triangles are similar and, if they are similar, state a reason.

Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

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8 t-shirts and a hat costs £42 3 t-shirts and a hat costs £17 how much does the hat and t shirt cost
cestrela7 [59]
17 + 5shirts = 42
5shirts = 42-17 = 25
1shirt = 25/5 = 5

A shirt costs £5.

3*5 + 1hat = 17
15 + 1hat = 17
1hat = 2

A hat costs £2
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Whao knows what cuphead is?
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Read 2 more answers
Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
Determine whether or not the two triangles are congruent. If they are state by what postulate.
avanturin [10]
Congruent
SSS (because of Pythagoras)
8 0
3 years ago
Please help me quick
DENIUS [597]

Answer: D. (-5 < 5)

Step-by-step explanation:

-5 is NOT greater than its opposite (5)

6 0
3 years ago
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