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3 years ago

QUESTION 30A ! if a=32 what must measure of D in order for abc to be similar to def? Pls help !!

Mathematics

2 answers:

Vilka [71]3 years ago

5 0

I think it's still 32°

Natasha_Volkova [10]3 years ago

3 0

You know that the triangle ABC has to be similar to triangle DEF;

You can notice from the given triangles that they are in a ration of 2:1 (ABC to DEF)

The angles, however, are unchanged because the triangles are similar.

The angle would be 32 degrees.

Hope I helped :)

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Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e

saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in $R^{2}$ . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

$\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle$

Now, let's calculate each vector length by calculating the norm.

$\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86$

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0

3 years ago

. Which algebraic expression is equivalent to the expression below?

I am Lyosha [343]

Since you are not distributing at all, you can ignore the parenthesis :)

When ignoring the parenthesis your equation is
18x + 11 - 4x

Then just combine like terms :)

14x + 11

Your answer is C.

Hope this helped!

5 0

3 years ago

Calculate the mean of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.<br> 6.22<br> 5.8<br> 9<br> 3

harkovskaia [24]

Answer:

7.3

Step-by-step explanation:

The mean of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3. 6, 22 , 5.8 , 9 , 3 is 7.3

3 0

3 years ago

Read 2 more answers

Invested $8200 at the rate of 4.5% p.a. It earned $738 simple interest. The

Igoryamba

Answer:

2 yrs

Step-by-step explanation:

SI =PTR/100

738=8200 x T x 4.5 /100

738 x 100 / 8200 x 4.5 = T

T =2

3 0

3 years ago

3 2/3 - 2 3/4= ______________

NISA [10]

Answer:

7 5/12

Step-by-step explanation:

3+2=6

2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

1 + 6= 7 5/12

7 0

3 years ago

Read 2 more answers