Answers
We can solve for angle HKG by using supplementary angles. The angle next to it and itself will add up to 180 degrees, as they are on a straight line.
[tex]120 + ?=180[/tex]
[tex]?=60[/tex]
Angle HKG is 60 degrees.
---
Now, we also know that in triangles, the angles are 180 degrees. We can add up all the angles and find x:
[tex]60+(6x-10)+(2x+10)=180[/tex]
Remove parenthesis:
[tex]60+6x-10+2x+10=180[/tex]
Add like terms:
[tex]8x+60=180[/tex]
Subtract 60 from both sides:
[tex]8x=120[/tex]
Divide both sides by 8:
[tex]x=15[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle JHG:
[tex]?+72=180[/tex]
[tex]?=108[/tex]
---
Now add up the interior angles of the triangle:
[tex]4x-2+3x+4+108=180[/tex]
Add like terms:
[tex]7x+110=180[/tex]
Subtract 110 from both sides:
[tex]7x=70[/tex]
Divide both sides by 7:
[tex]x=10[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle BDC:
[tex]?+111=180[/tex]
[tex]?=69[/tex]
---
Now add up the interior angles of the triangle:
[tex]69+7x+5+8x-14=180[/tex]
Add like terms:
[tex]60+15x=180[/tex]
Subtract 60 from both sides:
[tex]15x=120[/tex]
Divide both sides by 15:
[tex]x=8[/tex]
Related Questions
PLEASE HELP ASAP!!!!
Answers
Step-by-step explanation:
[tex] - \csc { }^{2} (9) + \cot {}^{2} (9) [/tex]
[tex] - \frac{1}{ \sin {}^{2} (9) } + \frac{ \cos {}^{2} (9) }{ \sin {}^{2} (9) } [/tex]
[tex] - ( \frac{1}{ \sin {}^{2} (9) } - \frac{ \cos {}^{2} (9) }{ \sin {}^{2} (9) } )[/tex]
[tex] - ( \frac{ \sin {}^{2} (9) }{ \sin {}^{2} (9) } )[/tex]
[tex] - (1)[/tex]
[tex] - 1[/tex]
The answer is -1
please help please :)
Answers
Answer:
Amber these are tricky
Step-by-step explanation:
plug in 0 for x to see where it intercepts, also, b/c the line goes up hill, it's a positive slope. :)
So B) is good
what is the constant of proportionality, y/x?
Answers
Answer:
7/2
Step-by-step explanation:
y/x = rise / run = slope of the line
Pick two convenient integer coordinate points , say 00 and 2,7
slope = (7-0) / ( 2-0) = 7/2
Six years after a tree was planted, its height was 7 feet. Nine years after it was planted, its height was 16
feet. Which of the following equations gives the height y, in feet, of the tree after x years if the tree grows
at a constant rate? Check all of the boxes that apply.
y - 6 = 3(x – 10)
y- 16 = 3(x-9)
y = 3x - 11
y=-3x-23
D
DONE
Answers
Answer:
(b) y -16 = 3(x -9)(c) y = 3x -11Step-by-step explanation:
You are given a couple of points:
(years, heigh) = (6, 7) and (9, 16)
and asked to write a linear equation that they satisfy. In general, you need to find the slope using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (16 -7)/(9 -6) = 9/3 = 3
__
point-slope equationThe point-slope form of the equation for a line can be used with this information.
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given points, you can write either of the equations ...
y -7 = 3(x -6) . . . . . using the first point
y -16 = 3(x -9) . . . . . using the second point. This matches choice B.
__
slope-intercept equationEither of the point-slope equations can be rearranged to give the slope-intercept equation.
y -16 = 3(x -9)
y = 3x -27 +16 . . . . eliminate parentheses, add 16
y = 3x -11 . . . . . This matches choice C.
__
Additional comment
The first choice has the right slope, but uses a point not on the line (10, 6).
The last choice has the wrong slope and the wrong y-intercept.
What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Answers
Answer:
553.143 mi²
Step-by-step explanation:
Surface Area (Cylinder) :
2πr (r + h)2 x 22/7 x 8 (8 + 3)16 x 22/7 x 11176 x 22/73872/7553.143 mi²Answer:
What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
Step-by-step explanation:
SOLUTION
HEIGHT -3
RADIUS - 8
AREA - 2πr ( r+h)
[tex] 2 \times \frac{22}{7} \times 8(8 + 3) \\ \\16 \times \frac{22}{7} \times 11 \\ \\ 176 \times \frac{22}{7} \\ \\ \frac{3872}{7} \\ = 553.143[/tex]
The graphs of two linear equations are shown.
(the picture)
What is the best estimate of the solution to the system of equations?
(0,4)
( 0 , 4 )
(4,0)
( 4 , 0 )
(−1,8)
( − 1 , 8 )
(8,−1)
( 8 , − 1 )
Answers
Answer:
(0,4)
(8,-1)
Because the graph is low and high or concave up and concave downSadida needed to reorder shirts for her clothing store. She ordered 63 medium shirts and 27 large shirts. What was the ratio of medium to large shirts.
Answers
Step-by-step explanation:
the ratio medium to large was
63/27 = 7/3
HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best describes the mean?
Answers
Answer:
B
Step-by-step explanation:
mean=(a+b+c+d+e+f+g)/7
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.
How to find the mean value of a data set?The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.
If the data set consists of values
x_1, x_2, ..., x_n
, then we get the mean value as:
[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]
Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.
[tex]\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}[/tex]
mean=[tex]\dfrac{(a+b+c+d+e+f+g)}{7}[/tex]
Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.
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5Look at the picture to the right.
Which relationships have the same constant of proportionality between y and x as in the equation?
Select all that apply
I know from the charts it's C but from the latest tables I don't know.
Answers
*Correct Question:
Which relationships have the same constant of proportionality between y and x as the equation 3y=27x?
Answer:
A, B, C
Step-by-step explanation:
Given that [tex]3y=27x[/tex], we can simplify to get a proportionality statement that exists between X and y. Thus
[tex]3y=27x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3}=\frac{27x}{3}[/tex]
[tex]y=9x[/tex]
Thus, we can say, y would always be 9 times the quantity of x.
From the options given, examine which options have this proportionality statement as well.
Option A, y = 9x is same as the statement.
Option B, 2y = 18x, conforms to the same statement. If we simply further, we would have y = 9x
Option C, the graph shows that when x = 1, y = 9. This also confirms to the same constant of proportionality in the given equation.
Option D and E do not have same constant of proportionality.
The right options are A, B, and C.
simplifey the expression 24x + 32 + 4x +3 what is the coefficient of x
Answers
shows a reading which is 8% higher than the actual pressure.
what is the actual pressure when it shows up as £39.42
Answers
The actual pressure before the percentage increase is 36.5
How to calculate the Actual pressure?New pressure = £39.42Percentage increase = 8%let
x = actual pressure39.42 = x + (8% of x)
39.42 = x + (0.08x)
39.42 = 1.08x
x = 39.42 ÷ 1.08
x = 36.5
Therefore, the actual pressure before the percentage increase is 36.5
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Which is the equivalent of TAN 0?
Answers
Answer:
Option A.
Step-by-step explanation:
The tangent(theta) is equal to the ratio of the length opposite to the length of the adjacent side, which in this case would be the secant and cosecant.
suppose the ratio of chocolate cupcakes to vanilla cupcakes baked today how many were chocolate and how many were vanilla 30 POINTS
Answers
Answer:
Ratio Needed
Step-by-step explanation:
In order to solve this problem, we need the ratio. Please give me the ratio, so that I can help you ASAP. Thanks!
Please help!!!!!!
What is the geometric possibility of being in the square and not in the circle? The radius of the circle is five inches. Express percent’s to the nearest tenth.
A. 21.5%
B. 23.0%
C. 20.0%
Answers
Answer:
A
Step-by-step explanation:
square: 10² = 100
Circle: π*5² = 3.14*25 = 78.5
In the squqre not in the circle: 100-78.5 = 21.5
I need help with these soon for the marking period
Answers
Answer:
1) x = 62.2
2) x = 35.9
3) x = 61.9
4) x = 53.1
What is the scale factor?
Answers
Answer:
This is correct answer if it help you please remember me in your pary thanks
what is 100x3856+284 dived by 6 x384
Answers
Answer:
179 R 1584
Part 16 × 384
6 × 4 = 24(carry the 2)
6 × 8 + 2 = 50(carry the 5)
6 × 3 + 5 = 23
Put it all together into one number
23 + 0 + 4 = 2,304
Part 23,856 + 284
6 does not add to 4 so it's 0
5 + 8 = 14(carry the 1 and add 1)
8 cannot add onto 2 so use the one you borrowed and carry. = 1
3 + 1 = 4
Put it together
4 + 1 + 4 + 0 = 4,140
Part 3414,000
Simply add the two 0's in 100 to 4,140
Part 4414,000 ÷ 2,304
Turn 4,140 into the thousands place temporarily.
4140
-2304
=1,836
Drop 0 to the result
18360
-16128
=2,232
Drop 0 again
22320
-20736
=1,584
Finally, you have a result.
179, Remainder 1584
Which expression is equal to
Answers
I currently have a 32% in Math, but assuming I got a 95 on the test we took, what would be my grade?
Answers
Answer:
Congratulations you have an A on your test!!!!
Step-by-step explanation: The grade scale :)
A+ 97-100 4.0
A 93-96 4.0
A- 90-92 3.7
B+ 87-89 3.3
B 83-86 3.0
B- 80-82 2.7
C+ 77-79 2.3
C 73-76 2.0
C- 70-72 1.7
D+ 67-69 1.3
D 65-66 1.0
E/F Below 65 0.0
the range of a set of numbers is 13.25
the smallest number is -3.875
workout the largest number
Answers
Answer:9.375
Step-by-step explanation: mark me the brainly-est
Suppose your car is rated at 38 mi/gal for city driving. If you wanted to write your friend in Spain about your car’s mileage, what ratings in kilometers per liter would you report?
Answers
One gallon is equal to 4.546 liters and one mile is equal to 1.609 kilometers. Then the ratings in kilometers per liter will be 13.45.
What is conversion?Conversion means to convert the same thing into different units.
Suppose your car is rated at 38 mi/gal for city driving. If you wanted to write your friend in Spain about your car’s mileage.
Then the ratings in kilometers per liter will be
We know one gallon is equal to 4.546 liters and one mile is equal to 1.609 kilometers.
Then we have
[tex]\rm \rightarrow \dfrac{38 \times 1.609 \ km}{4.546 \ liters}[/tex]
On solving further, we have
→ 13.449 ≅ 13.45 km per liter
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Can someone please answer this question. ASAP. put it as an whole number. NOT A FRACTION.
The weight of one serving of chips is 2 1/4 oz. How many servings are there in a 22 1/2 oz bag of chips?
Answers
Answer:
it's 10
Step-by-step explanation:
2 1/4 = 9/4
22 1/2 = 45/2 × 2 = 90/4 and 90/4 ÷9/4 = 10
Answer: 10 servings.
Step-by-step explanation:Divide 22 1/2 by 2 1/4and it woulwould be 10. Of
What is the circumference of the following circle? Diameter=4 and Raidar=2
Answers
Answer: 4π
Step-by-step explanation: The diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4π
A 15 oz can of green beans usually costs $0.99. This week, a supermarket chain is advertising 2 cans for $1.70. Is this a bargain? Show your work and explain why or why not it will save money and by how much ?
Answers
Answer:
It is a bargain because 0.99 + 0.99 = 1.98 which is more than 1.70. You would be paying less with this deal. It will save you 28 cents
Step-by-step explanation:
radius of a semi circle
Answers
A= 3.142 x (8.2)^2 / 2
A= 110.8 cm^2
Area of the circle= 3.142*8.2^2
=211.26
Because it’s a semicircle, divide by two.
211.26/2 = 105.6
WILL GIVE BRAINLIEST!!! SELECT MULTIPLE ANSWERS!!!
Answers
Step-by-step explanation:
soory i can't give an answer
Help me please help me
Answers
Answer:
e= 543
Step-by-step explanation:
Hello!
902-e=359, so 902-359=e.
8 9 12902 359------543Answer:
E=543
Step-by-step explanation:
To find the variable for E Subtract 902-359 and you get 543 or E
help me asap the pdf is down below
Answers
The mathematics properties and solutions to the pdf are listed below
Q1.i. Multiplicative commutative property: [tex]\frac{1}{4}[/tex] * [tex]\frac{3}{7}[/tex] = [tex]\frac{3}{7}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{28}[/tex]ii. Distributive property : [tex]\frac{2}{3}[/tex] * ( [tex]\frac{5}{7}[/tex] - [tex]\frac{9}{11}[/tex] )iii. Associative property: [tex]\frac{6}{5}[/tex] + ( [tex]\frac{1}{4}[/tex] + [tex]\frac{8}{9}[/tex] ) = ( [tex]\frac{6}{5}[/tex] + [tex]\frac{1}{4}[/tex] ) + [tex]\frac{8}{9}[/tex] Q2i. [tex]\frac{12}{11}[/tex] * [tex]\frac{21}{5}[/tex] + [tex]\frac{12}{11}[/tex] * [tex]\frac{9}{5}[/tex] = [tex]\frac{12}{11}[/tex] * ( [tex]\frac{21}{5}[/tex] + [tex]\frac{9}{5}[/tex] )ii. [tex]\frac{1}{11}[/tex] * [tex]\frac{17}{10}[/tex] - [tex]\frac{7}{10}[/tex] * [tex]\frac{1}{11}[/tex] = [tex]\frac{1}{11}[/tex] * ( [tex]\frac{17}{10}[/tex] - [tex]\frac{7}{10}[/tex] )Q3.i. [tex]\frac{72}{11}[/tex] = [tex]\frac{72}{11}[/tex]ii. [tex]\frac{13}{11}[/tex] = [tex]\frac{13}{11}[/tex]iii. -49 = (-49)iv. [tex]\frac{121}{81}[/tex] = [tex]\frac{121}{81}[/tex] v. [tex]\frac{265}{72}[/tex] = [tex]\frac{265}{72}[/tex]vi. [tex]\frac{265}{72}[/tex] = [tex]\frac{265}{72}[/tex]Meaning of mathematics propertiesMathematics properties is a characteristics or feature that is applied to a mathematics equation or given to a set to a definite result.
Mathematics properties have three major properties which are the commutative property, associative property and the distributive property.
In conclusion, the mathematics properties and solutions to the equation are listed above.
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Help me pls Ahhhh
Help me brainles
Answers
Answer:
0.94, 1.03, 1.09, 1.1
Step-by-step explanation:
1.1
1.03
0.94
1.09
Those are the numbers in decimal form in sequence.
So it would be 0.94, 1.03, 1.09, then 1.1
I can't help on the graphing part, but thats the best you can pretty much get. Hope it helps :)
can someone help me with my math?
Answers
Answer:
Trinity, find the answers below
Step-by-step explanation:
for the 1st picture, minor angels ∠1, ∠2, ∠3 are all the same as the shown angle of 130°
for the 2nd picture, minor angles ∠2, ∠3 are the same as the shown angle of 80° and ∠1 is the adjacent angle to 80°, so it's 100° , because 180° - 80° = 100°
