Answer: 34.10
Find 15% of 207 then ten percent of that and add it to that theres ur answer.
Answer:
<A and <C
Step-by-step explanation:
If EA and EC are congruent, the angles <A and <C are also congruent
Answer:
The gas bill increases by $50
Step-by-step explanation:
We know that the increase in gas bills is directly proportional to the temperature setting. Let's take the increase in gas bills as g and increase in temperature setting as t. Thus, this can be written as:
g ∝ t
In every proportionality, there is a constant k, so it will be:
g = kt
It is mentioned that when the temperature setting increases by 4, the gas bill increases by $20, so in terms of the constant, we can write it as:
20 = k 4
We don't know the value of the constant, so we have to first find it out.
k = 20 ÷ 4
k = 5
Thus,
g = 5t
Now that we know the value of the constant, we can find by how much the gas bill will increase if the temperature setting increases by 10.
g = 5 × 10
g = <u>50</u>
∴ the gas bill increases by $50 when the temperature setting increases by 10 degrees Fahrenheit.
Answer:
arc ABD = 56°
Step-by-step explanation:
The measure of arc EF is the same as the measure of central angle ECF. That angle is a vertical angle with angle ACB, so they are congruent. The angle sum theorem tells you the measure of angle ACD is the sum of the measures of angles ACB and BCD. That sum is 35° +21° = 56°.
Since the central angle ACD has measure 56°, arc AD has measure 56°.
Use the remainder theorem: it says that if <em>x</em> - <em>c</em> is a linear factor of a polynomial <em>f(x)</em>, then the remainder upon dividing <em>f(x)</em> by <em>x</em> - <em>c</em> is equal to <em>f(c)</em>.
In this case,
<em>f(p)</em> = <em>p</em>⁴ - <em>p</em>² - <em>p</em> - <em>k</em>
and <em>p</em> - 1 is a factor of <em>f(p)</em>. We have
<em>f </em>(1) = 1⁴ - 1² - 1 - <em>k</em> = -(<em>k</em> + 1)
Because <em>p</em> - 1 divides <em>f(p)</em>, the remainder is 0, which means
-(<em>k</em> + 1) = 0
<em>k</em> + 1 = 0
<em>k</em> = -1
