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Determine if the statement is true or false<br> The figures below are similar

artcher [175]

Answer:

True

Step-by-step explanation:

The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write

540 = a + b + c + d + missing angle

As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar

7 0

3 years ago

Jackie made bracelets for 8 days. When he was done he had 96 bracelets right now equation to express how many bracelets Jackie m

777dan777 [17]

Since you know that there was 96 total bracelets and Jackie made them for 8 days, if you are finding how much was made each day, it is division.
96/8=the number of bracelets made each day

4 0

3 years ago

The product of x and y, written in three different ways

Alika [10]

Answer:
3
⋅
x
x
+
y
Explanation:
The product of 3 and x divided by the sum of x and y is
P
r
o
d
u
c
t
o
f
3
and
x
S
u
m
o
f
x
and
y
.
Okay break it into smaller parts. The product of
3
and
x
is
3
⋅
x
um of
x
and
y
is
x
+
y
Now, we get
3
⋅
x
x
+
y
and that's it

4 0

3 years ago

What is the solution to the system of equations? (7, 9) (9, 7) (–5, 11) (11, –5)

KIM [24]

Answer: (7, 9)

Step-by-step explanation: To solve this system, I would use addition.

To solve a system of equations by addition,

we need one of our variables to cancel out.

Notice that we have a 4x in our first equation.

If we had a -4x in our second equation, the x's would cancel.

To create a -4x in the second equation,

we must multiply the entire equation by -4.

So we have (-4)(x + 6y) = (61)(-4).

Rewriting this equation, we have -4x - 24y = -244.

Now let's rewrite both equations.

Now when we add the equations together, the x's cancel.

So we're left with -29y = -261.

Now divide both sides by -29 and we have y = 9.

To find x, we plug a y back in for x in either equation.

So let's go with our second equation, x + 6y = 61.

Plugging a 9 in for y, we have x + 6(9) = 61 or x + 54 = 61.

Subtracting 54 from both sides, we have x = 7.

So x = 7 and y = 9 which we can write as the ordered pair (7, 9).

6 0

3 years ago

If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?

Alla [95]

let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then

$\bf tan(\theta )=\cfrac{sin(\theta )}{cos(\theta )}~~ \begin{cases} sin(\theta )=x\\ cos(\theta )=2x \end{cases}\implies tan(\theta )=\cfrac{x}{2x}\implies tan(\theta )=\cfrac{1}{2}$

4 0

3 years ago