Answer:
x = 5
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.
Given that:
< B = 12x + 8
< D = 8x + 8
< C = 20°
Set up the following formula to solve for x:
(8x + 8) + 20 = 12x + 8
Combine like terms:
8x + 28 = 12x + 8
Subtract 8 from both sides:
8x + 28 - 8 = 12x + 8 - 8
8x + 20 = 12x
Subtract 8x from both sides:
8x - 8x + 20 = 12x - 8x
20 = 4x
Divide both sides by 4 to solve for x:
20/4 = 4x/4
5 = x
Therefore, x = 5.
Find the discount on a leather recliner with a regular price of $240 if the recliner is 10% off. What is the sale price of the recliner?
The discount on the leather recliner is $___
Answer:
Sale price = $216, Discount = 24$
Step-by-step explanation:
100%-10%=90%
240 x .90 = $216 (sale price)
240-216 = $24 off
BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.
Answer:
The coordinates of B are (10,2)
Step-by-step explanation:
Hi there!
We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)
We want to find the coordinates of point B
The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]
We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]
In other words,
[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]
Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]
So:
[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]
Multiply both sides by 2
[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]
Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:
[tex]x_2=10[/tex]
Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]
[tex]y_2=2[/tex]
Now substitute these values for [tex](x_2, y_2)[/tex]
[tex](x_2, y_2)=(10,2)[/tex]
So the coordinates of point B are (10, 2)
Hope this helps!
Ataxi service charges you $7.50 plus $0.60 per minute, m. for a trip to
the airport. The total charge is $13.50. Write an algebraic equation you
can use to determine the number of minutes it took to get to the airpor
take? (you do not need to solve)
Answer:
6
Step-by-step explanation:
13-7 =6
$6.00÷0.60¢ = 10
(I may be hella off, but it's worth a shot)
Someone help plz make sure the answers right will mark brainiest:)
please help me, i don’t get this
Step-by-step explanation:
you do know that f(x) is the same as y ?
because the y value is the result of a function (in 2-dimensional space).
for such questions we only need to look at the term with the highest exponent of x.
with large values of x this term then "drowns" out all other terms regarding the dimension of the "limit" the range (= functional results) of the function can reach.
so, the term with the highest exponent of x is here
-4x⁶
all the other terms with x⁵, x⁴, x³, ... are much, much smaller in absolute value than |-4x⁶| for really large values of x (x going to infinity, but also to -infinity).
as explained, the term -4x⁶ is therefore driving the limit or end behavior of the function.
so, what happens here, when x goes to +infinity ?
then x⁶ goes to +infinity.
and that means 4x⁶ goes to +infinity.
but that means -4x⁶ goes to -infinity !
and when x goes to -infinity ?
then x⁶ still goes to +infinity (remember, multiplying 2 negative values gives a positive result, so any form of squaring incl. any even exponents will already have positive results).
and that means 4x⁶ goes to +infinity.
but again, -4x⁶ goes then to -infinity.
so the right answer choice is the second one, where y goes to -infinity in both cases.
4 lbs 7 oz; oz
conversions ratios thing
Answer:
4 lb 7 oz = 71 oz
Step-by-step explanation:
Do you need to convert 4 lb 7 oz into oz?
If so, do the following.
Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.
1 lb = 16 oz
For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.
4 lb = 4 * 16 oz = 64 oz
4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz
What is the measure of the indicated central angle ? A. None of the above B. 20° C. 15° D. 10° E. 25°
Answer:
b
Step-by-step explanation:
Find the approximate circumference of a circle with a diameter of 10 cm.
Answer: C = 31.42cm
Step-by-step explanation:
Solve −163 = −25d .
Multiple choice question.
A)
−403
B)
−3215
C)
3215
D)
403
Answer:
the answer to this question is d
A triangle has angle measures
x+15, 3x-35, and 4x.
What type of triangle is it? Be as specific as possible. Justify your answer.
Find the distance between the points (–4, 6) and (–1, 5).
Answer:
√10 . May be this can help.
Please help asap! Correct answer gets brainliest
Answer:
C, 35 yellow books
Step-by-step explanation:
There are 10 books in total
if 3 of them is equal to 21, then one book in the picture is worth 7 books
5 yellow books can be seen thus 7x5=35
Answer:
C. 35 yellow books
Step-by-step explanation:
Let u be 1 unit.
3u = 21
u = 21÷3
=7
5u = 7×5
= 35
Write the sentence as an equation.
The sum of 24 and x is - 20.
Answer:
x+24 = -20
this is the equation form
Answer:
24 + x = -20
Step-by-step explanation:
"The sum" is simple addition, so stating that the "sum of 24 and x" is the same as :
24 + x
Seeing as they equal -20:
24 + x = -20
Hope this helps!
MRs budney made 12 cupcakes. Ms dykastra made 9 cupcakes. How many cupcakes did the teachers make altogether?
Answer:
21
Step-by-step explanation:
9 + 12 = 21
Answer:
21
Step-by-step explanation:
You add 12 cupcakes plus 9 cupcakes it then will equal 21 cupcakes.
The blue figure is a translation image of the black figure. Write a rule to describe the translation.
pls answer rn or else...
A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?
Answer:
0.3 pounds
Step-by-step explanation:
[tex]0.5 - 0.2 = 0.3[/tex]
Samuel wants to ride his bicycle 32.4 miles this week. He has already ridden 18 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine 2, the average number of miles he would have to ride each day to meet his
goal.
Equation:
Answer: 2=
Submit Answer
Answer:
equation: 4x + 18 = 32.4
answer: x = 3.6
Step-by-step explanation:
PLZZZ HELP ASAP ON THIS I NEED IT NOW
Answer:
1.) x={ -4,-2,0,2,4}
y={ -4,-2,0,2,4}
2.)x={ -4,-2,0,2,4}
y={{-5,-1,3,7,11}
Step-by-step explanation:
in coordinates:
1.)(-4,-4) (-2,-2) (0,0) (2,2) (4,4)
2.)(-4,-5) (-2,-1) (0,3) (2,7) (4,11)
Emiliano earned $50 in July. He earned $70 in August. What is the percent increase or decrease in Emiliano's monthly earnings? A. 40% increase O B. 29% increase C. 40% decrease D. 20% decrease
Answer:
the answer is 40% increase
Factorize mn-nq+mo-oq
mn-nq+mo-oq
n(m-q) + o(m-q)
final ans:(n+o) (m-q)
The GCD of two numbers is 20. The ratio of these two numbers is 2: 3. Find the sum of the two numbers.
Answer:
225
Step-by-step explanation:
Question 5 (4 points)
(04.05)
Which description best describes the graph? (4 points)
A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing
b
Linear decreasing
c
Nonlinear increasing
d
Nonlinear decreasing
Answer:
The answer is D
Step-by-step explanation:
On Sunday, a local hamburger shop sold a combined total of 316 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Answer:
i think its 79, not sure though.
What is the value of c?
Answer:
45
Step-by-step explanation:
Because GH=GI
so H=I=45
Answer:
[tex]c = 45[/tex]
Step-by-step explanation:
[tex]Isosceles \: Right \: Tringle[/tex]
[tex]∠c=∠GIH[/tex]
[tex]180-90=90[/tex]
[tex]c = \frac{90}{2} [/tex]
[tex]c = 45[/tex]
please help! absolute value problem
Answer:
first blank: -x
second blank x
Step-by-step explanation:
During the fall, you decide to rake leaves and charge $12 for coming to a house and raking, and then $9 for every hour you rake. If you make $57 in each of 3 houses you went to in one day, how many hours did you spend shoveling?
Answer:
15
Step-by-step explanation:
For 1 house, the charge just to go to a house is $12.
In each house you made $57.
$57 - $12 = $45
The charge per house just for raking was $45.
You charge $9/hour.
$45/($9/hr) = 5 hours
You shoveled 5 hours in each house.
3 * 5 hours = 15 hours
Answer: 15 hours
a local theater charges $8.50 for a movie and $13 for a 3-D movie. For a certain film 165 tickets were sold, which brought in a total of $1731. determine how many 3-D movie tickets were sold.
Answer:133.15
Step-by-step explanation:
1731/13=
I need help plz I would appreciate it
Anyone know this?
I’ll brainlist !!
Answer:
0.000090.00580.000000620.000006456000008000.hope this helps you