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3 years ago

determine whether the triangles are similar if so what is the similarity statement and the postulate or theorem used.

Mathematics

1 answer:

zmey [24]3 years ago

6 0

The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.

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If the legs of the triangle are doubled in length what is the length of the hypotenuse

anygoal [31]

64+36=100 √100=10 (right ans=10)

3 0

2 years ago

The formula F=9/5C+32 converts temperatures from Celsius C to Fahrenheit F. A. Solve the formula for C b. The boiling point of w

liraira [26]

Answer:

(a) $\therefore C=\frac59(F-32)$

(b)The boiling point of water in Celsius scale is 100°C.

(c)The setting in Celsius scale is 26.7°C.

Step-by-step explanation:

Given that,the formula is

$F=\frac95 C+32$ ......(1)

(a)

Given that,

$F=\frac95 C+32$

$\Rightarrow F-32=\frac95 C+32-32$ [ subtracting 32 from both sides]

$\Rightarrow F-32=\frac95 C$

$\Rightarrow \frac95 C=F-32$

$\Rightarrow C=\frac59(F-32)$ ......(2) [Multiplying $\frac59$ ]

$\therefore C=\frac59(F-32)$

(b)

Given that, the boiling point of water is 212°F.

Putting F=212 in equation (2)

$\therefore C=\frac59(212-32)$

$\Rightarrow C=\frac59\times 180$

$\Rightarrow C=5\times 20$

$\Rightarrow C=100$

The boiling point of water is 100°C.

(c)

Given that, a house thermostat is set at 80 degree.

Putting F=80 in equation (2)

$\therefore C=\frac59(80-32)$

$\Rightarrow C=\frac59\times 48$

$\Rightarrow C\approx26.7$

The setting in Celsius scale is 26.7°C.

7 0

2 years ago

Solve the rational equation x^2+1/x-1+x=2+2/x-1

kodGreya [7K]

Answer:

x=1/2

Step-by-step explanation:

3 0

3 years ago

Reflection in the y-axis is true or false?

Pani-rosa [81]

the answer is false because it can be in the Y or the X axis

6 0

2 years ago

Which set of ratios could be used to determine if one triangle is a dilation of the other

Lisa [10]

Answer:

See explanation

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

$\frac{3.6}{3} = 1.2$

$\frac{5.4}{4.5} = 1.2$

$\frac{6}{5} = 1.2$

The set of ratios which could be used to determine if one triangle is a dilation of the other is

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

If there are multiple correct options then check this one too.

$\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}$

3 0

2 years ago