Angle B is 90 degrees so angle A and c when added also equal 90:
7x + 8 + 3x + 2 = 90
Simplify:
10x + 10 = 90
Subtract 10 from both sides
10x = 80
Divide both sides by 10
X = 8
Now you have x calculate angle A:
7x + 8 = 7(8) + 8 = 56 + 8 = 64
Answer: C. 64
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , so
7x + 8 + 3x + 2 + 90 = 180 , that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ A = 7x + 8 = 7(8) + 8 = 56 + 8 = 64° → C
(03.03)
How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?
Answer:
Step-by-step explanation:
The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).
I have put a graph in so that you can see the shifts for yourself.
The red line is g(x) = x^4
The blue line is f(x) = (x - 9)^4 - 3
“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of angle 7 and 5.”
Based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
What are Complementary Angles?Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.
Angle 7 and angle 8 are complementary [given]
Angle 5 and angle 6 will also be complementary
Angle 5 ≅ angle 8 [given]
Angle 7 will also be congruent to angle 6
Measure of angle 6 = 29° [given]
Measure of angle 7 = 29°
Measure of angle 5 + measure of angle 6 = 90 degrees
Substitute
Measure of angle 5 + 29° = 90°
Measure of angle 5 = 90° - 29°
Measure of angle 5 = 61°
Therefore, based on the definition of complementary angles:
Measure of angle 7 = 29°
Measure of angle 5 = 61°
Learn more about complementary angles on:
https://brainly.com/question/16281260
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What does x equal?
2x + 5x – 4= 17
Answer:
x = 3
Step-by-step explanation:
2x + 5x - 4 = 17 (Given)
7x - 4 = 17 (Simplify)
7x - 4 + 4 = 17 + 4 (Add 4 on both sides)
7x = 21 (Simplify)
7x/7 = 21/7 (Divide 7 on both sides)
x = 3 (Simplify)
Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.
8w-2=12w+6 both answers
Answer:
your answer is -2
I hope it's helps you
Answer:
[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]
I hope it helped U
stay safe stay happy
What is the answer to the problem
3+(-11)+8
Answer:
0
Step-by-step explanation:
3 + (-11) + 8
3 - 11 + 8
-8 + 8
0
Answer:
0
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
2f - 3(4f - 5g) + 5g + 7fg
Help pls how to solve it?
Step-by-step explanation:
2f - 3(4f - 5g) + 5g +7fg
multiply the 3 in
2f - 12f - 15g + 5g + 7fg
add or subtract common terms
-10f -10g +7fg will be your final answer
Answer:
Step-by-step explanation:
As the question did not say how to 'solve the question', I would assume it will be to simplify the equation, as there is no way of solving an expression without an answer.
Simplify:
2f - 3(4f-5g) + 5g +7fg
Get rid of the parentheses
2f - 12f - 15g + 5g +7fg
Simplify similar expressions
-10f - 10g + 7fg
Therefore, 2f - 3(4f-5g) + 5g +7fg simplified is equal to -10f - 10g + 7fg.
Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?
Answer:
$14.93
Step-by-step explanation:
she works 7+8=15 hours.
she earns in total per day
7×$23.46 + 8×$7.47 = $223.98
on average she makes per hour
223.98 / 15 = $14.93
She make on average 223.98 per hour for the day.
Given that,
She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store.
In the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour.
We have to determine,
How much does she make on average per hour for the day.
According to the question,
She usually works at a retail store for 7 hours earn = $23.46 per hour.
She works at a restaurant as a manager for 8 hours = $7.47 per hour
Total number of hours she works = 7hours + 8hours = 15hours
Therefore,
She make on average per hour for the day =
7×$23.46 + 8×$7.47 = $223.98
Hence, she make on average 223.98 per hour for the day.
To know more about Addition click the link given below.
https://brainly.com/question/24442197
A packet of flour and a bag of onions have a total mass of 3.25kg.
3 similar packets of flour and 2 similar bags of onions weigh 9kg in all.
What is the total mass of 5 such packets of flour?
Set flour =x and onions=y
We have
{ x + y = 3.25
{ 3x + 2y = 9
x= [tex]\frac{5}{2}[/tex]
y=[tex]\frac{3}{4}[/tex]
Good Luck
i need help im timed plzz right anwsers only
Answer:
the second option is correct
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
The point (-3,-1) lies in the quadrant: A.
Answer:
[tex]\displaystyle QUADRANT\:III[/tex]
Step-by-step explanation:
[tex]\displaystyle [POSITIVE, NEGATIVE] → QUADRANT\:IIII \\ [NEGATIVE, NEGATIVE] → QUADRANT\:III \\ [NEGATIVE, POSITIVE] → QUADRANT\:II \\ [POSITIVE, POSITIVE] → QUADRANT\:I[/tex]
I am joyous to assist you at any time.
how I do this plzz help
Answer:
I also don't know because I did not read this chapter
Answer:
yes how can we do this i am also confusing
janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
-5x²-2x³-4x Write the polynomial in standard form. Then identify the polynomial by the number of terms.
Answer:
-2x³ - 5x² - 4x and cubic
Step-by-step explanation:
→ Rearrange the polynomial so the highest power is at the start
-2x³ - 5x² - 4x
→ Now look at the highest power and determine the type of polynomial
Cubic
Throughout Singapore it has been estimated that about a billion (1 000 million) cubic meters of water are used each day. If we assume a population of 3 million, what is the rate of consumption of water per person?
Answer:
333 cubic meters of water are used each day by one person
Step-by-step explanation:
anyone this help ,,,,,
=======================================================
Explanation:
We start with set M = {m,a,t,h,s}
Then we cross off any letter we find in set N
So we'll cross off the 'm' and 'a' since they are both in N. We're kicking these letters out of the set.
We go from {m,a,t,h,s} to {t,h,s}
We leave t,h and s alone as those letters aren't in set N. So we don't kick them out.
Answer: {t,h,s} choice A
please let me know the answers
Answer:
(i) ABE = 36 [tex]cm^2[/tex]
BCDE = 96 [tex]cm^2[/tex]
Step-by-step explanation:
answer for part ( i )
ABE ⇒
base × height × [tex]\frac{1}{2}[/tex] = area of triangle
→ 6 × 12 × [tex]\frac{1}{2}[/tex] =36
BCDE ⇒
length × width = area of rectangle
→ 8 × 12 = 96
The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
(b+a)^2 ÷4 ; use a=-2, and b=4
Answer:
1
Step-by-step explanation:
(b + a)² ÷ 4 when a = -2 and b = 4
~Substitute
(4 + (-2))² ÷ 4
~Simplify
2² ÷ 4
4 ÷ 4
1
Best of Luck!
Answer:
1
Step-by-step explanation:
it is above in the photo.
Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold: $\bullet$ $f(x)$ is divisible by $x^3$. $\bullet$ $f(x) 2$ is divisible by $(x 1)^3$. Write your answer in expanded form (that is, do not factor $f(x)$).
There seems to be one character missing. But I gather that f(x) needs to satisfy
• [tex]x^3[/tex] divides [tex]f(x)[/tex]
• [tex](x-1)^3[/tex] divides [tex]f(x)^2[/tex]
I'll also assume f(x) is monic, meaning the coefficient of the leading term is 1, or
[tex]f(x) = x^5 + \cdots[/tex]
Since [tex]x^3[/tex] divides [tex]f(x)[/tex], and
[tex]f(x) = x^3 p(x)[/tex]
where [tex]p(x)[/tex] is degree-2, and we can write it as
[tex]f(x)=x^3 (x^2+ax+b)[/tex]
Now, we have
[tex]f(x)^2 = \left(x^3p(x)\right)^2 = x^6 p(x)^2[/tex]
so if [tex](x - 1)^3[/tex] divides [tex]f(x)^2[/tex], then [tex]p(x)[/tex] is degree-2, so [tex]p(x)^2[/tex] is degree-4, and we can write
[tex]p(x)^2 = (x-1)^3 q(x)[/tex]
where [tex]q(x)[/tex] is degree-1.
Expanding the left side gives
[tex]p(x)^2 = x^4 + 2ax^3 + (a^2+2b)x^2 + 2abx + b^2[/tex]
and dividing by [tex](x-1)^3[/tex] leaves no remainder. If we actually compute the quotient, we wind up with
[tex]\dfrac{p(x)^2}{(x-1)^3} = \underbrace{x + 2a + 3}_{q(x)} + \dfrac{(a^2+6a+2b+6)x^2 + (2ab-6a-8)x +2a+b^2+3}{(x-1)^3}[/tex]
If the remainder is supposed to be zero, then
[tex]\begin{cases}a^2+6a+2b+6 = 0 \\ 2ab-6a-8 = 0 \\ 2a+b^2+3 = 0\end{cases}[/tex]
Adding these equations together and grouping terms, we get
[tex](a^2+2ab+b^2) + (2a+2b) + (6-8+3) = 0 \\\\ (a+b)^2 + 2(a+b) + 1 = 0 \\\\ (a+b+1)^2 = 0 \implies a+b = -1[/tex]
Then [tex]b=-1-a[/tex], and you can solve for a and b by substituting this into any of the three equations above. For instance,
[tex]2a+(-1-a)^2 + 3 = 0 \\\\ a^2 + 4a + 4 = 0 \\\\ (a+2)^2 = 0 \implies a=-2 \implies b=1[/tex]
So, we end up with
[tex]p(x) = x^2 - 2x + 1 \\\\ \implies f(x) = x^3 (x^2 - 2x + 1) = \boxed{x^5-2x^4+x^3}[/tex]
6.55743... is an irrational number because it is an
a terminating decimal
a repeating decimal
a non-terminating and non-repeating decimal
a non-repeating decimal
a non-terminating decimal
Answer:
#3. a non-terminating and non-repeating
Step-by-step explanation:
6.55743... never ends and it never repeats either
Answer:
Not terminating but doesn't repeat either
Step-by-step explanation:
What is the slope of the line represented by the equation y = -1/2x+ 1/4
Answer:
y = mx+ b
m=slope
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptBy comparing the formula to the equation given, it is clear the slope of the line is -1/2.
BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)
Answer:
- X + Y = -4 is the standard form
Y =1X -4 is the slope intercept form
Step-by-step explanation:
x1 y1 x2 y2
0 -4 5 1
(Y2-Y1) (1)-(-4)= 5 ΔY 5
(X2-X1) (5)-(0)= 5 ΔX 5
slope= 1
B= -4
Y =1X -4
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
Answer:
450
Step-by-step explanation:
The total is 100 %
20% + 35% +15% = 70%
100-70 = 30
He saves 30%
1500 * 30%
1500 *.30
450
A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?
S O L U T I O N :Total Income = $ 1500
According to the question,
He spends 20% to his kids education
He spends 35% for food
He spends 15% for miscellaneous
Out of total income he spends 20% on kids education
So, amount spent on kids education = 20% of $1500
Amount = 20/100 × $1500
Amount = $300
Hence, money spent on his kids education is $300
35% is spent on food
Money spent on food = 35% of $1500
Money spent = 35/100 × $1500
Money spent = $525
Hence, money spent on food is $525
15% is spent on miscellaneous
Money spent on miscellaneous = 15% of $1500
Money spent = 15/100 × $1500
Money spent = $225
Hence, money spent on miscellaneous is $225
Now, adding all the three we get
$300 + $525 + $225
$825 + $225
$1050
Total money spent = $1050
Remaining money = $1500 - $1050 = $450
Remaining amount left with him is $450write each expression as a single power of 10
Answer:
10 to the power of 4
Step-by-step explanation:
[tex](10^{5} )^{2} \\= 10^{10} \\\\(10^{2})^3\\= 10^(6)\\\\[/tex]
You then subtract the powers since you are dividing by the same base exponent of 10.
10 - 6 = 4
10^4
-1/6(2x + 12) = 1/3x + 12
Which of the following is the inverse of f (x) = 3 - 14x
How to write 4.651 in expanded form with decimals?
Answer:
[tex]0.4651 \times {10}^{1} [/tex]
determine the coordinates of x-intercepts and y-intercepts
Answer:
Xin is when y=0
and
yin is when x=0