Work out the size of angle x

Answers

Answer 1

Answer:

The size of angle x is 99 degree

What is straight angle and Exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. straight angle: an angle whose sides lie in opposite directions from the vertex in the same straight line and which equals two right angles.

We have,

∠CDE = $123^(o)$

∠BCD = $42^(o)$

∠ABC = $x^(o)$

According to the question

Angle Addition Postulate and definition of straight angle:

∠BDC+∠CDE = $180^(O)$

Substitute into : ∠BDC + $123^(o)$ = $180^(o)$ ∠BDC = $180^(o)$ - $123^(o)$ ∠BDC = $57^(o)$

Exterior Angle Theorem:

∠BDC + ∠BCD = ∠ABC

Substitute into :

$57^(o)$ + $42^(o)$

= $x^(o)$ $x^(o)$

= $99^(o)$

hence, the size of angle x is 99 degree

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Answer 2

Answer:

Answer:

Step-by-step explanation:

42+123=165

165+50=215

215+145=360

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Sasha drove from her house to the grocery store in 20 minutes. Her return trip took 15 minutes. If the store is 7 miles from her house, what was Sasha's average speed for the round trip, in miles per hour?

Answers

Total time = 35 minutes
Total distance = 14 miles

I would set this up as a proportion

14/35 = x/60 (60 minutes in an hour)
Now cross multiply and solve.
35x = 840
840/35 = 24 mph

distance = rate * time
7 miles = rate * 20 minutes
7/20 = 20r/20
r = 0.35 mph

How can you use an array to show the commutative property

Answers

Arrays are useful representations of multiplication concepts of the commutative property.

We need to find how can you use an array to show the commutative property.

What is the commutative property?

The word 'commutative' originates from the word 'commute', which means to move around. Hence, the commutative property deals with moving the numbers around. So mathematically, if changing the order of the operands does not change the result of the arithmetic operation then that particular arithmetic operation is commutative.

An arrangement of objects, pictures, or numbers in rows and columns is called an array. Arrays are useful representations of multiplicationconcepts (among other ideas in mathematics).

The commutative property of multiplication can be neatly illustrated using an array. For example, the array above could be read as 2 rows of 6, or as 6 columns of 2. Or the array could be physically turned around to show that 2 rows of 6 have the same number as 6 rows of 2.

Therefore, arrays are useful representations of multiplication concepts of the commutative property.

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The commutative property of multiplication can be neatly illustrated using an array. For example, the array above could be read as rows of , or as columns of . Or the array could be physically turned around to show that rows of has the same number as rows of . Regardless of the way you look at it, there remain objects.

Serena has several package of raisins. each package contains 3 boxes of raisins. which could be the number of boxes of raisins serena has? mark all thatapply

a.9
b.18
c.23
d.26
e.32

GIVE U A LOT OF POINTS!!!!!!!!!!!!!!!!

Answers

9 and 18 represent the possible number of boxes of raisins serena has.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Serena has several package of raisins. Each package contains 3 boxes of raisins. Assume she has {x} number of total boxes in the packages. Then, we can write {x} as the numbers which ar multiples of 3. So, we can write -

{x = 3} or {x = 6} or {x = 9} or ......... {x = 3n}

Therefore, 9 and 18 represent the possible number of boxes of raisins serena has.

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It's A and B because you can divide 9 and 18 evenly into 3 without any remainders :D

Is it considered a parallelogram?

Answers

c

..................................

48% as a fraction in simplest form

Answers

Answer: The fraction 48/100 is equal to 48 percent.

The main definition of percent actually means ''per hundred. Therefore when you have 48%, it is the same as 48 out of 100 or 48/100.

Hope this helps! :)

If you used 3/4 of the blue paint to make flames on one of the cars, and need 7 3/4 pints of blue paint to paint another car, what amount of blue paint do you need to buy?

Answers

3/4 of 7 pints were used. of, in this case, means to multiply. 3/4 x 7= 21/4= 5 and 1/4 pints. Now we subtract 5 and 1/4 (because this is how much was used) from 7. 7- 5 and 1/2 = 1 and 1/2

If you have questions, feel free to ask.

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