Answers
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
Related Questions
The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.
Answers
The solution of the equation can be determined by substituting the points in the equation and solving it.
The solution of the given equation would be interpreted by solving the equation for the value of x and y.
The solution of the equation is (400, 3200) and it can be determined by using substitution method.
Given that,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
The solution of the system is (400, 3,200).
We have to determine,How would you interpret this solution?
According to the question,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
On solving both the equation,Substitute y = 8x in the equation 2,
[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]
The value of x is not -800 because the cost can not be negative.
Then the value of x is 400.
Substitute the value of x in equation 1,
[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]
Hence, The solution of the equation is (400, 3200).
For more details about System of Equation refer to the link given below.
https://brainly.com/question/281027
What is the product of 10 and 9 divided bye 24 in simplest radical form?
Answers
Answer:
15/4
Step-by-step explanation:
You do 10*9 which is 90. Then divide it by 24 to get 90/24 and simplify it by dividing the numerator and denominator by 6
Alex drove from home to her office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 50 km/h. The average speed on the way back was 30 km/h.
Let t be the time it took to go to the office from home
The distance Alex drove from home to her office and back is...
Answers
Answer:
The total distance is 220km. Explanation is in the picture. Pls give brainliest. :D
Translate. Eight less than the difference of a number and five is twelve.
Answers
Answer:
(x - 5) - 8 = 12
Step-by-step explanation:
Lets portion each part out:
Eight less than
The difference of a number and five
Is twelve.
First, we must write down the portion with "a number" in it: x - 5. We use subtraction because the sentence states "the difference".
Next, we will write down "eight less than". The problem states that twelve is "eight less than" the difference. This means that we must subtract 8 from out first part: (x - 5) - 8
Finally, the sentence tells us that this equals twelve: (x - 5) - 8 = 12
I need help with this
Answers
Answers:
Square = 8Triangle = 3Circle = 2Hope you could get an idea from here.
Doubt clarification - use comment section.
Martin measure the length of his window he measures 26 inches the actual of the window was 25 inches what percent of this an era is this
Answers
Answer:
4% maybe
Step-by-step explanation:
pls help me with this:((((
Answers
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
m
=
3
b
=
−
12
b
=
-
12
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
3
y-intercept:
(
0
,
−
12
)
(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=
Answers
This is due in 20 minutes. Please help!!!
1. A store buys a t-shirt for $3 and sells it for $12. What percent did the store mark up the price?
2. Cost to store: $50. Markup: 10%. Selling price: $?
3. You are buying a new video game system. Which store should you buy the system from? (The picture)
4. A jacket costs $80. It is on sale for 35% off. What is the discount? $?
5. A suit costs $95. It is on sale for 20% off. How much are you saving? $?
6. A $120 pair of shoes is on sale for 35% off. What is the sale price? $?
7. You started making bracelets to sell to earn some money. If it costs you $2 to make each bracelet, how much should you charge for each one to make a 50% profit?
Answers
Answer:
1.400%
2. 55$
3. C
4. 28
5. 19
6. 78
7. 1$
WILL MARK SOMEONE BRAINLIEST!!!! The chart below shows the age of the volunteers for the local pet hospital. When combined which two age groups would be greater than the 27-39 age group?
A. 0-13 and 14-26
B. 0-13 and 53-65
C. 40-52 and 14-26
D. 53-65 and 14-26
Answers
Answer:
C
Step-by-step explanation:
60+80=140 which is definitely higher than 100-120
Answer:
C. 40-52 and 14-26
Step-by-step explanation:
The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.
The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.
60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.
Please Can you subtract the given problem from scientific notation to notation. Step by step please
Answers
Answer:
367(3.67*100)-16(1.6*10)=351
Hope This Helps!!!
[tex]\\ \sf\longmapsto 3.67\times 10^2-1.6\times 10^1[/tex]
[tex]\\ \sf\longmapsto 3.67(100)-1.6(10)[/tex]
[tex]\\ \sf\longmapsto 367-16[/tex]
[tex]\\ \sf\longmapsto 351[/tex]
6. If the pattern continues, what would be the ninth number in the pattern?
4 8, 12, 16___
( full question on pic )
Hi! can someone help me please, thank u!
Answers
Answer:
20
Step-by-step explanation:
You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D
f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals
HURRY!!!!
Answers
f(3) = f(1) + f(2)
then substitute using the values given so
f(3) = -6 + -4
so f(3) = -10
the value of function at n = 3 is f( 3 ) is - 10.
To find the value of f( 3 ), we can use the given recursive formula:
f(n) = f( n - 2 ) + f( n - 1 )
We already have the values of f(1) and f(2):
f(1) = - 6
f(2) = - 4
Now, let's apply the recursive formula to find f(3):
f(3) = f( 3 - 2 ) + f( 3 - 1 )
f(3) = f(1) + f(2)
f(3) = - 6 + (- 4)
f(3) = - 10
So, the value of f(3) is - 10.
Learn more about recursive formula here
https://brainly.com/question/32794966
#SPJ2
the length of a rectangle is 8 cm more than twice the width. the perimeter of the rectangle is 34 cm. what is the length of the rectangle
Answers
Answer:
14 cm
Step-by-step explanation:
let the length of the triangle be x and the width be y
x = 2y+8
2x + 2y = 34
2(2y + 8) + 2y = 34 (since x = 2y + 8)
6y + 16 = 34
6y = 18
y = 3
x = 2y + 8 = 2(3) + 8
x = 6 + 8
x = 14
( pls mark me the brainliest)
Can somebody pls help me understand this question? (Give an explanation)
Question:
Below is a graph of 2 lines. Match the line with its slope.
Answers
Answer:
l: 1
k: 2
Step-by-step explanation:
The slope of a line is "the amount it goes up divided by the amount it goes right".
So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?
In line l, it goes up one grid position for every step to the right, hence the slope is 1.
In line k, it goes up two positions for every step to the right, hence the slope there is 2.
Hope this explains it.
Mark has some candy bars that he wants to give away. He is going to give each person 28 of a bar, and he has 4 bars to give away. Determine the number of people who will get a piece of the candy bar.
helppppppp!!!!! 22 points!!!
Answers
Answer:
7 people
Step-by-step explanation:
: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?
Answers
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1
Answers
Answer:
C
Step-by-step explanation:
It has a negative slope and it crosses the y axis at -1
Solve for C if F = 77º. 5 C = (F-32) -
Answers
Answer:
C = 25
Step-by-step explanation:
C = 5/9(77-32)
C = 5/9(45)
C = 25
Identify the slope in the following equation: y= -x + 7
PLEASE HELP!!!!
Answers
Answer: The slope is -1 because this equation is already in y=mx+b so we dont have to apply the y2-y1 over x2-x1 formula you can easily identify the slope when its in y=mx+b because the slope always has a x after the number for example: 4x
Answer:
It is the coefficient of the x, when the y is isolated. In this case it is -1.
There are 3 yellow, 3 green, and 3 red pens in a jar. Each day Michelle selects a pen without looking, uses the pen, and then replaces it in the jar. Over 14 days she selects a red pen 6 times. Compare the theoretical and experimental probabilities of this experiment.
(Hint: Calculate the theoretical probability and experimental probability
separately)
Answers
Experimental Probability: she picks the red pen 6/14 times
So the experimental is 1-2 times more than predicted via theoretical probability
David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .
Answers
Answer:
Step-by-step explanation:
Garage A = 7+3t
Garage B = 4+4t
Garage A = 7+6
Garage B = 4+8
B = Cheaper
Answer:
A = 3t + 7, B = 4t + 4, B is cheaper
Step-by-step explanation:
A = 3(2) + 7 = 6 + 7 = 13
B = 4(2) + 4 = 8 + 4 = 12
sin2A + sin5A - sinA÷cos2A + cos5A + COSA=Tan2A
Answers
Answer:
That is the correct answer
Step-by-step explanation:
AND the whole solution I hope it helps to you
Math problem (easy)
……………………………………..
Answers
(-3/8 x 1/2)
= -3/16
3/4 - 3/16 multiply numerator and denominator to simplify
12/16 - 3/16
9/16
Hope this helps!
Brainliest and a like is much appreciated!
48/?=6
56/?=8
Help me!
Answers
3. the answer is 8
6. the answer is 7
Answer:
48/8=6
56/7=8
Step-by-step explanation:
48÷ 8 = 6
56÷ 7 = 8
Billy has a $40 gift card. She spends $10 per week. Write a linear equation for this situation.
(Hint: Use y = mx + b, where y is money remaining, m is loss per week, and b is the starting money.)
Answers
She has $40 to begin with and spends $10 per week.
Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)
Answers
Answer:
Let's apply the quadratic formula:
⇒
x
=
−
4
±
√
4
2
−
4
(
2
)
(
−
30
)
2
(
2
)
⇒
x
=
−
4
±
√
16
+
240
4
⇒
x
=
−
4
±
√
256
4
⇒
x
=
−
4
±
16
4
⇒
x
=
−
1
±
4
⇒
x
=
−
5
,
3
Therefore, the solutions to the equation are
x
=
−
5
and
x
=
3
.
.
Step-by-step explanation:
Explanation:
All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.
2
x
2
+
4
x
−
30
=
0
x
2
+
2
x
−
15
=
0
Try to factor before we use loner methods of the quadratic formula or completing the square.
Find factors of 15 which subtract (because of -15) to give 2.
The signs will be different (because of -15), there must be more positives. (because of +2)
5 and 3 will work!
5
×
3
=
15
and
5
−
3
=
2
(
x
+
5
)
(
x
−
3
)
=
0
Putting each factor equal to 0 gives the solutions:
x
=
−
5
or
x
=
3
Answer:
(x+3)(x-5)
Step-by-step explanation:
2x²-4x-30 = 0
devide by 2
; x²-2x-15 = 0
(x+3)(x-5) = 0
Hi guys need some help with this one question thanks
Answers
Answer:
y=(-1/4)x+(-6)
Step-by-step explanation:
slope is (-1/4) and the y intercept is (-6)
slope intercept form is
y=(-1/4)x+(-6)
Don't put parentheses in answer.
What is the slope
A. 2
B. 4
C. 5
Answers
We know the slope formula.
=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:Therefore, the slope is 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLZZ I NEED HELP ASAP!!! Due in 12 minutes!!!!
24 points!!!!
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.
Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)
54 miles
72 miles
144 miles
162 miles