4(2x-3) = use a property to write equivalent expression
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Answer 1
Answer:
This property is called the distributive property; multiplication can be distributed over addition (subtraction is an addition of a negative number)
and the equivalent expression is this one:
4*2x-4*3
we can simplify this;
8x-12
this expression is equivalent to the one in the question!
Find the measure of angle K.(I put 60 because it's an acute angle. I don't know if i'm correct though.)
If you could can you explain how you got the answer, so I understand it? Please and thank you!
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Yep. I see what's going on here.
-- There had to be instructions that came along with this picture. Somewhere in those instructions, it said that the top line and bottom line are parallel ... the ones with the little arrowheads across them, they're parallel.
-- One factoid about parallel lines is: When parallel lines are cut by a transversal, the alternate interior angles are equal.
Both of the sloping lines are transversals that cut the parallel lines. Look at the longer one. Angle-m and 46° are the alternate interior angles, so they're equal.
-- Angle-m = 46° . Now the whole thing falls apart.
-- Look at the triangle standing up on one vertex. One angle in the triangle is 92°. Another angle in the triangle is 46° (angle-m) . The three angles in the triangle have to add up to 180° .
-- Angle-k is what's left when you start with 180°, take away 92°, and then take away another 46° . I get 42° . ___________________________________
Another way to do it, using another fact about parallel lines:
-- When parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. (I haven't used this rule in 61 years. I hope they haven't changed it.)
-- Look at the shorter sloping line. It's a transversal that cuts the parallel lines.
-- The interior angles on the same side of the transversal are the 92° and the big one at the bottom ... the (k + 46°).
-- Those angles are supplementary ... they add up to 180° .
92° + (k + 46°) = 180°
-- AGAIN ... 'k' is what's left when you start with 180°, take away 92°, then take away 46° more. I get 42° again.
Can you live with this ?
PLEASE HELP I GIVE THANKS
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The answer is C. The lengths of the first triangle is 23 and 28 mm, a similar figure's side lengths have to be proportional so. The one in the choice C is 4 times the first triangle ,
The answer would be C Because, 23 times 4 equals: 92. And 28 times 4 equals: 112. So, 29, and 112 are the lengths of the answer c ~Hope this helps! :)
Question on circumference photo attached
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A as the radius is always half of the circumference to next time think first, what is the half of the circumference
What is 67% of 296 ? Show your work
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First, you would get the decimal form of 67% by moving the decimal (At the end of most whole numbers.) over two, giving you .67. Next, multiply 296 by this new decimal- .67*296=198.32. There you go! : )
The answer is 198.2 you welcome
Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate
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Answer:
€800 = $1200
New exchange rate =
750/1200 = 1.6
What number has the same value as 50 tens?
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500 Reason: 50 tens is basically ten 50 times. 10 x 50 = 500
50 tens is the same as saying 50 x 10 which is 500. One ten is 10. Therefore, to find 50 tens, you must times 50 by 10. When multiplying a number greater than 0 by 10, you simply add a 0 to the end of the number. Following this rule, 50 tens is 500.