Answer:
Angle at x is 75°
Step-by-step explanation:
Data :
Angle at A = 65°
Angle at B = 40°
According to the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size
A + B + C = 180
65 + 40 + C = 180
C = 180 - 65 - 40 = 75°
Mark brainliest if you understand
Hi there!
Question 1:
For this, we are taking away 1/4 yards of spring from 7/8 yards. This is essentially just subtracting 1/4 from 7/8. This then gives us the equation:
Now, to subtract these, we want to make it so the denominators are the same, or the numbers on the lower half are the same. (One way to explain why this is true is: 
). Now, to make it so the denominators are the same, we can multiply the second fraction, 1/4, by 2/2 as 2/2 is essentially 1, and multiplying by 1 will get the same result, just with a denominator switched in this case. Doing this, we get:
Now, subtracting the numerators, we get:
yards of string will remain.
Question 2:
For this, we are combining these two thicknesses, and thus we add 1/4 to 7/12. This gives us the equation:
Now, we again want to make it so the denominators are the same. (Here's a similar proof but for addition this time: 
). Now, to make the denominators the same, we can multiply the first fraction, 1/4, by 3/3 (also equivalent to 1). Doing this, we get:
, which is equivalent to (dividing both the top and the bottom by 2) 
inches.
Hope this helps!
Hey!
Hope this helps...
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Let me lay down the Given, and than I'll solve the question...
<em>Felisha</em> is 6 years older than <em>Gabriella</em><em> - (y)</em>
<em>Their Mother</em> is 2 times older than <em>Felisha</em>
<em>Their Aunt (Tanya - [x] )</em> is X years older than <em>Their Mother</em>
<em /><u><em>We are solving for how old is Tanya? ...</em></u>
**I stated Gabriella with a y instead of an X so that the equation does not look confusing, feel free to replace my y with "<em /><em>Gabriella(X)</em>", when writing/typing your answer...
**When I use the variable <em>Z</em>, this is how many years Tanya is older than the Mother...
To find how many years Tanya is older than the Mother: Z = 2 * (6 + y)
Now... the answer is: X = (2 * (6 + y)) + Z
I stated it this way, because we have to add Felisha's and Gabriella's age first, and than your multiply that age <em>Total</em> by 2 to get the Mother's age...
Answer:
Step-by-step explanation:
There are two distinct statements but put together, it is:
- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.
For Susan Collins, she advocates gun control too.
So the symbolic or algebraic representation is:
(SC = DF): (MC ~ AE), (PM ~ WA)
OR
(GC = GC): (MC ~ AE), (PM ~ WA)
Where ":" represents "such that" or "given that"
" ~ " represents "support or promotion of"
It can now be read thus;
Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
