Answer: where’s the diagram
Step-by-step explanation:
9514 1404 393
Answer:
91°
Step-by-step explanation:
The similarity statement tells you that angles Q and H are congruent. The measure of angle H is shown as 91°, so that is the measure of angle Q.
m∠Q = 91°
The two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
<h3>How to determine which two options are the possible first step to begin to simplify the equation?</h3>
The equation is given as:
Negative one-half (x + 4) = 6
Rewrite the above equation properly
So, we have
-1/2(x + 4) = 6
A possible first step is to multiply both sides of the equation -1/2(x + 4) = 6 by -2
So, we have
x + 4 = -12
Another possible first step is to distribute the expression -1/2(x + 4) in the equation
So, we have
-1/2x - 1/2 * 4 = 6
Hence, the two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
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Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
983.625
9 = hundreds
8 = tens
3 = ones
6 = tenths
2 = hundredths
5 = thousandths
You want to round to the nearest hundredths
Look at the number on the right, if it's bigger than 5, round up, if it's 4 or lower, round down.
In this case, the number to the right is a 5, so you round the 2 (hundredths) up one so:
<span>983.63</span>