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2 years ago

Are the following triangles similar? Justify your answer.

Mathematics

1 answer:

Andru [333]2 years ago

4 0

I think that they are similar because Angle G is congruent to Angle D. Also Angle E is congruent to Angle H, and finally angle I is congruent to angle F. At first I was going to say that these two triangles are not similar at all because I was confused by the way Triangle HIG was placed in a different rotation which made me think that they were not similar.

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Need help ASAP! Thanks

Alex Ar [27]

Answer:

A = 1, B = 1

Step-by-step explanation:

From the question

(2x+1)/(x²+x) = A/x + B/(x+1)

(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)

Equation the numerator

2x+1 ≡ A(x+1) +Bx

2x+1 ≡ Ax+A+Bx

From the above,

A = 1.

And,

2x = Ax+Bx................ Equation 1

A+B = 2

Substitute the value of A into Equation 1

1+B = 2

B = 2-1

B = 1

7 0

2 years ago

Suppose that you are thinking about buying a car and have narrowed down your choices to two options.

deff fn [24]

Answer:

sjsjsuduhr r ki snsbtsuwi 3 38yv4r djvs

4 0

2 years ago

45 divided by 3 equals blank divided by 3 blank equals divided by 3 equals

tangare [24]

45/3=15
15/3=5
5/3=1.66

7 0

2 years ago

Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.

diamong [38]

Answer:

y + 12 = - $\frac{1}{3}$ (x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y = 3x is in the form y = mx with slope m = 3

Given the slope of a line m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$

Hence

y - (- 12) = - $\frac{1}{3}$ (x - 2), that is

y + 12 = - $\frac{1}{3}$ (x - 2) ← in point- slope form

6 0

3 years ago

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you exp

julia-pushkina [17]

Answer:

0.17619

Step-by-step explanation:

We solve using z score formula

= z = (x-μ)/σ,

where x is the raw score = 5 accidents

μ is the population mean = 6.4 accidents

σ is the population standard deviation = 1.5

z = 5 - 6.4/1.5

= -1.4/1.5

= -0.93333

Approximately to 2 decimal places = -0.93

Determining the probability value from Z-Table:

P(x< 5) = P(z = -0.93) = 0.17619

Converting this to percentage =

The probability of weeks you would expect to have less than 5 accidents is

0.17619

We are asked in the question:

What proportion of weeks would you expect to have less than 5 accidents?

Proportion is also the same as:

Therefore, the proportion of weeks that you expect to have less than 5 accidents = 0.17619

3 0

3 years ago