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kotegsom [21]
3 years ago
13

The coordinates of the midpoint of AB are (2,4),

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0
Answer:

You can use the midpoint formula.

Method:

MAB = (Ax+Bx)/2 ; (Ay+By)/2

Substitute in what you have:

(2;4) = (Ax+3)/2 ; (Ay+7)/2

Because we know the x coordinate of the midpoint, we can assume that:

2 = (Ax+3)/2

And now solve for Ax:

4 = Ax+3
Ax = 1

Because we know the y coordinate of the midpoint, we can assume that:

4 = (Ay+7)/2

And now solve for Ay:
8 = Ay+7
Ay = 1

Therefore A(1;1)
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Workout the value of x.
anyanavicka [17]
Answer: The value of X is 97 degrees


Explanation:
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2 years ago
The top of two poles of height's 20m and 14m are connected by the wire
Hatshy [7]

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}

Which gives;

D = \dfrac{6}{tan(30 ^{\circ}) }  = 10.39 \ m\approx 10 \ m

The correct option is 10 m.

5 0
3 years ago
When you forget to add the attachment,, r.i.p. ,, what I said before and all that
kati45 [8]
a.
h = 2c - 3

b.
3h + 1.5c = 201

c.
We have a system of equations from part a and b.
h = 2c - 3   (equation 1)
3h + 1.5c = 201   (equation 2)

We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28

Plug this value back in equation 1 to get
h = 2c - 3  
>> h = 2(28) - 3 = 56 - 3 = 53

So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.
3 0
3 years ago
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
never [62]

Answer:

Triangles ABC and MNO are similar by SSS

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

If this problem the corresponding sides are

AB and MN

BC and NO

AC and MO

Verify if the corresponding sides are proportional

\frac{AB}{MN}=\frac{BC}{NO}=\frac{AC}{MO}

substitute the given values

\frac{5}{7.5}=\frac{5}{7.5}=\frac{8}{12}

0.67=0.67=0.67 ----- is true

so

When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity

therefore

Triangles ABC and MNO are similar by SSS

8 0
3 years ago
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