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2 years ago

If two polygons are similar, then the corresponding angles must be...??

Mathematics

2 answers:

nadya68 [22]2 years ago

6 0

Answer:

similar? im not sure :]

Step-by-step explanation:

aleksandrvk [35]2 years ago

3 0

Answer:

They should be congruent

Step-by-step explanation:

Sides are similar angles are congruent :)

You might be interested in

One-quarter of the sum of 2 consecutive odd numbers is 14. Find the numbers.

aalyn [17]

Answer:

27 and 29

Step-by-step explanation:

let A and B the expected numbers

assuming B = A + 2, the problem can be written as follows

¼(A + A + 2) = 14

4*¼(A + A + 2) = 4*14

(A + A + 2) = 56

2A + 2 = 56

A + 1 = 28

A = 27

B = 27 + 2 = 29

6 0

2 years ago

3) How many liters of a 20% acid solution must be mixed with a 60% solution to obtain 40 liters of a 35% solution? (25,15)THATS

serg [7]

<span>let x = the number of liters of the 20% solution.

let y = the number of liters of the 60% solution.

you want x + y to be equal to 40 liters.

x is the number of liters total in the first solution.
y is the number of liters total in the second solution.

you want .2 * x + .6 * y to be equal to .35 * 40

.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution.

you have two equations that need to be solved simultaneously.

they are:

x + y = 40
.2x + .6y = .35*40

simplify these equations to get:

x + y = 40
.2x + .6y = 14

you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection.

the graph looks like this:

the graph says the intersection is at the coordinate point of (25,15).

this means that x = 25 and y = 15.

x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution.

the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good.
</span>

8 0

3 years ago

Read 2 more answers

Let f(x) = 3x2–5, find f(-5).<br> A. 70<br> B. 71<br> C. 72 <br> D.73

Crazy boy [7]

<h3>Given equation:</h3>

$f(x) = 3x2 - 5$

If x=-5

<h3>Solution:</h3>

$f( - 5) = 3( - 5)2 - 5 \\ = 3 \times - 5 \times 2 - 5 \\ = - 30 - 5 \\ = - 35$

<h2>Solved ✔︎</h2>

4 0

2 years ago

Solve the following by using mathematical Induction. For >/ 1

cluponka [151]

Answer:

See explanation

Step-by-step explanation:

Prove that

$1^2+2^2+3^3+...+n^2=\dfrac{1}{6}n(n+1)(2n+1)$

1. When $n=1,$ we have

in left part $1^2=1;$

in right part $\dfrac{1}{6}\cdot 1\cdot (1+1)\cdot (2\cdot 1+1)=\dfrac{1}{6}\cdot 1\cdot 2\cdot 3=1.$

2. Assume that for all $k$ following equality is true

$1^2+2^2+3^3+...+k^2=\dfrac{1}{6}k(k+1)(2k+1)$

3. Prove that for $k+1$ the following equality is true too.

$1^2+2^2+3^3+...+(k+1)^2=\dfrac{1}{6}(k+1)((k+1)+1)(2(k+1)+1)$

Consider left part:

$1^2+2^2+3^2+...+(k+1)^2=\\ \\=(1^2+2^2+3^3+...+k^2)+(k+1)^2=\\ \\=\dfrac{1}{6}k(k+1)(2k+1)+(k+1)^2=\\ \\=(k+1)\left(\dfrac{1}{6}k(2k+1)+k+1\right)=\\ \\=(k+1)\dfrac{2k^2+k+6k+6}{6}=\\ \\=(k+1)\dfrac{2k^2+7k+6}{6}=\\ \\=(k+1)\dfrac{2k^2+4k+3k+6}{6}=\\ \\=(k+1)\dfrac{2k(k+2)+3(k+2)}{6}=\\ \\=(k+1)\dfrac{(k+2)(2k+3)}{6}$