All categories

3 years ago

How do I solve similar polygons and triangles?

1 answer:

5 0

Check the angles and corresponding sides: All the angles in a rectangle are congruent to each other and now check that the sides are proportional to each other. 2. Scale factor: If two polygons are similar, then the ratio of the lengths of the two corresponding sides is the scale factor.

You might be interested in

A=1/4 and b=6 16a-4b a=1/4 and b=6 5b/32a= a=1/4 and b=6 12a+(b−a−4)=

Digiron [165]

Answers & Step-by-step explanation:

#1. Insert given values:

$16*\frac{1}{4} -4*6$

Simplify multiplication from left to right. Use the rule $\frac{a}{b}*c =\frac{ac}{b}$ :

$\frac{16}{4}-4*6\\\\ 4-4*6$

Simplify multiplication:

$4-24$

Simplify subtraction:

$-20\\\\16a-4b=-20$

#2. Insert given values:

$\frac{5*6}{32*\frac{1}{4} }$

Simplify multiplication:

$\frac{30}{32*\frac{1}{4} }$

Simplify multiplication. Use the rule $\frac{a}{b} *c=\frac{ac}{b}$ :

$\frac{30}{\frac{32}{4} }$

Simplify division:

$\frac{30}{8}$

Simplify fraction:

$\frac{15}{4} \\\\\frac{5b}{32a}=\frac{15}{4}$

#3. Insert given values:

$12*\frac{1}{4} +(6-\frac{1}{4} -4)$

Simplify subtraction within parentheses. Convert to fractions. Use the rule $a=\frac{a}{1}$ :

$\frac{6}{1} -\frac{1}{4} -\frac{4}{1}$

Make all denominators the same. Multiply top and bottom by 4 (only do this to the fractions with 1 as the denominator):

$\frac{24}{4}-\frac{1}{4}-\frac{16}{4}$

Simplify subtraction. Subtract the numerators. The denominator will stay the same:

$\frac{24}{4}-\frac{1}{4}-\frac{16}{4}=\frac{7}{4}$

Insert:

$12*\frac{1}{4} +\frac{7}{4}$

Simplify multiplication. Use the rule $\frac{a}{b} *c=\frac{ac}{b}$ :

$\frac{12}{4} =3$

Insert:

$3+\frac{7}{4}$

Simplify addition. Convert the whole number to a fraction. Use the rule $a=\frac{a}{1}$ :

$\frac{3}{1} +\frac{7}{4}$

Multiply top and bottom of the first term by 4:

$\frac{12}{4}+\frac{7}{4}=\frac{19}{4} \\\\12a+(b-a-4)=\frac{19}{4}$

:Done

4 0

3 years ago

Read 2 more answers

4y-x=5+2y in slope intercept form explain

Rama09 [41]

Step-by-step explanation:

Given

4y - x = 5 + 2y

Let's make y subject then making in slope intercept form that is y = mx + c

4y - 2y = x + 5

2y = x + 5

y = ( x + 5) / 2

y = x/2 + 5/2

Hope it will help :

3 0

3 years ago

Read 2 more answers

(2x + 3y - 4) – (5x + 2)

stellarik [79]

Answer:

-3x + 3y - 6

Step-by-step explanation:

2x + 3y - 4 - (5x + 2)

open brackets by using - sign to multiply

2x + 3y - 4 - 5x - 2

collect like terms

2x - 5x + 3y - 4 - 2

-3x + 3y - 6

5 0

3 years ago

In standard notation, 7.09 �� 10 *to the power of 4* is _____.

forsale [732]

Answer:

70,900

Step-by-step explanation:

3 0

3 years ago

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_

AnnZ [28]

Answer:

ds/dt=69743.35m^2/min

Step-by-step explanation:

The radius r(t)r(t)r, (, t, )of a sphere is increasing at a rate of 7.57.57, point, 5 meters per minute. At a certain instant t_0t 0 t, start subscript, 0, end subscript, the radius is 555 meters. What is the rate of change of the surface area S(t)S(t)S, (, t, )of the sphere at that instant?

If i could understand the question correctly, the typos notwithstanding

r=radius, 555m

dr/dt=rate of change in radius 5m/min

ds/dt=rate of change in surface area ?

S=area of a sphere 4 $\pi r^{2}$