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nevsk [136]
3 years ago
12

Draw two examples of different right triangles that could lie on a line with a slope of 2/5.

Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

ΔCDE and ΔCGH

Step-by-step explanation:

Since the slope is 2/5 (or 0.4), then there can be drawn a function graph f(x)=0.4x whose slope is 2/5. So now let's draw a pair of parallel lines. We have then a pair of congruent triangles, i.e. ΔCDE ≅ ΔCGH. These triangles have their hypotenuses on the line whose slope is 2/5.

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Vera_Pavlovna [14]
Make them both improper fractions.
77/10 - 19/5

Give them common denominators (multiply the second fraction by 2)
77/10 - 38/10

Subtract 
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8 0
3 years ago
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Lostsunrise [7]

Answer:

x = 19.6

Step-by-step explanation:

If we need to find the value of x then first we need to

(7x-25) + (3x +9) = 180  (angles at the same side of transversal will be equal to 180 degree )

10x -16 = 180

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4 0
3 years ago
Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m
Dovator [93]

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

Works 7.5 hours per shift and there are 5 shifts in a week, hence

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Pay per hour = £7.20, thus

Earnings for a week = 37.5 × 7.20 = £270

3 0
3 years ago
The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Kryger [21]

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

3 0
4 years ago
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