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Vladimir79 [104]
2 years ago
11

I know the answer to the question. It’s just whenever I answer the reason for my answer it gets no marks. Can someone explain ho

w I’m suppose to answer this question? This is a 3 mark question.

Mathematics
2 answers:
-Dominant- [34]2 years ago
7 0

Answer:

x = 60°

Step-by-step explanation:

Know that the opposite interior angles of parallel lines have equal measurements. In other words, angle x is equal to the bottom-left angle of the triangle. And note that the triangle has 3 sides of the same length, so all 3 angles have the same measurement (i.e. this is a regular triangle). Since the measure of a single interior angle of a regular triangle is 60°, x is also 60°.

Free_Kalibri [48]2 years ago
4 0

Answer:

x = 60°

Step-by-step explanation:

The triangle has 3 congruent sides and is equilateral with 3 congruent angles each of 60°

x and the base angle of the triangle are alternate angles and are congruent, so

x = 60°

You might be interested in
.. Which of the following are the coordinates of the vertices of the following square with sides of length a?
atroni [7]

Option A: O(0,0), S(0,a), T(a,a), W(a,0)

Option D: O(0,0), S(a,0), T(a,a), W(0,a)

Step-by-step explanation:

Option A: O(0,0), S(0,a), T(a,a), W(a,0)

To find the sides of a square, let us use the distance formula,

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Now, we shall find the length of the square,

\begin{array}{l}{\text { Length } O S=\sqrt{(0-0)^{2}+(a-0)^{2}}=\sqrt{a^{2}}=a} \\{\text { Length } S T=\sqrt{(a-0)^{2}+(a-a)^{2}}=\sqrt{a^{2}}=a} \\{\text { Length } T W=\sqrt{(a-a)^{2}+(0-a)^{2}}=\sqrt{a^{2}}=a} \\{\text { Length } O W=\sqrt{(a-0)^{2}+(0-0)^{2}}=\sqrt{a^{2}}=a}\end{array}

Thus, the square with vertices O(0,0), S(0,a), T(a,a), W(a,0) has sides of length a.

Option B: O(0,0), S(0,a), T(2a,2a), W(a,0)

Now, we shall find the length of the square,

\begin{aligned}&\text { Length } O S=\sqrt{(0-0)^{2}+(a-0)^{2}}=\sqrt{a^{2}}=a\\&\text {Length } S T=\sqrt{(2 a-0)^{2}+(2 a-a)^{2}}=\sqrt{5 a^{2}}=a \sqrt{5}\\&\text {Length } T W=\sqrt{(a-2 a)^{2}+(0-2 a)^{2}}=\sqrt{2 a^{2}}=a \sqrt{2}\\&\text {Length } O W=\sqrt{(a-0)^{2}+(0-0)^{2}}=\sqrt{a^{2}}=a\end{aligned}

This is not a square because the lengths are not equal.

Option C: O(0,0), S(0,2a), T(2a,2a), W(2a,0)

Now, we shall find the length of the square,

\begin{array}{l}{\text { Length OS }=\sqrt{(0-0)^{2}+(2 a-0)^{2}}=\sqrt{4 a^{2}}=2 a} \\{\text { Length } S T=\sqrt{(2 a-0)^{2}+(2 a-2 a)^{2}}=\sqrt{4 a^{2}}=2 a} \\{\text { Length } T W=\sqrt{(2 a-2 a)^{2}+(0-2 a)^{2}}=\sqrt{4 a^{2}}=2 a} \\{\text { Length } O W=\sqrt{(2 a-0)^{2}+(0-0)^{2}}=\sqrt{4 a^{2}}=2 a}\end{array}

Thus, the square with vertices O(0,0), S(0,2a), T(2a,2a), W(2a,0) has sides of length 2a.

Option D: O(0,0), S(a,0), T(a,a), W(0,a)

Now, we shall find the length of the square,

\begin{aligned}&\text { Length OS }=\sqrt{(a-0)^{2}+(0-0)^{2}}=\sqrt{a^{2}}=a\\&\text { Length } S T=\sqrt{(a-a)^{2}+(a-0)^{2}}=\sqrt{a^{2}}=a\\&\text { Length } T W=\sqrt{(0-a)^{2}+(a-a)^{2}}=\sqrt{a^{2}}=a\\&\text { Length } O W=\sqrt{(0-0)^{2}+(a-0)^{2}}=\sqrt{a^{2}}=a\end{aligned}

Thus, the square with vertices O(0,0), S(a,0), T(a,a), W(0,a) has sides of length a.

Thus, the correct answers are option a and option d.

8 0
2 years ago
What is an equivalent ratio to 3/4?
Ivahew [28]

Answer:

6/8

Step-by-step explanation:

multiply both of them by 2 and its equal.

you get 6/8

3 0
2 years ago
Write the expression nine divided by the quantity of x plus y
seropon [69]

9514 1404 393

Answer:

  \text{A)}\quad\dfrac{9}{x+y}

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

  \dfrac{9}{x+y}

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

  9/(x+y)

These expressions match the first choice, A.

7 0
2 years ago
Private colleges and universities rely on money contributed by individuals and corporations for their operating expenses. Much o
Art [367]

Answer:

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

Step-by-step explanation:

When we have a sample, the mean of the sample is used as the point estimate for the mean of the entire population.

What value will be used as the point estimate for the mean endowment of all private colleges in the United States?

We have to find the mean of the 8 colleges. So

M = \frac{60.2 + 47.0 + 235.1 + 490.0 + 122.6 + 177.5 + 95.4 + 220.0}{8} = 180.975

The value will be used as the point estimate for the mean endowment of all private colleges in the United States is of 180.975 millions of dollars.

4 0
3 years ago
HELP ASAP!!!!!!!!!!!!!!!
kiruha [24]

Answer:

5.74 (rounded)

Step-by-step explanation:

4^2+b^2=7^2

16+b^2=49

-16 -16

b^2=33

√b=√33

b= about 5.74

6 0
2 years ago
Read 2 more answers
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