The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
number only)
Help I need big brains for it and I need it fast please help please
Answers
Answer:
See solution below
Step-by-step explanation:
According to the diagram shown
m<1 = m<5 = 5=65 degrees (corresponding angle)
m<5 = m<4 - 65 degrees (alternate interior angle)
m<9 = m<8 = 65degrees (corresponding angle)
m<5 = m<8 = 65dgrees (vertically opposite angles)
m<6+m<8 = 180
m<6 + 65 = 180
m<6 = 180 - 65
m<6 = 115degrees
m<2 = m<6 = 115degrees (corresponding angles)
m<6 = m<7 = 115degrees (vertically opposite angles)
m<3 = m<7 = 115degrees(corresponding angle)
)
The measures of the other seven angles are evaluated as:
[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]
What are supplementary angles?Two angels whose sum is 180° are called supplementary angles.
When they are added together graphically, they form a straight line.
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. They are of same measurement.
What are corresponding angles?In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.
For this case, we have:
Angle 1,2,3 and 4 corresponding to 5,6,7 and 8 angle respectively. It is because the two lines A and B are parallel and the traversing line intersects both of them. When single line intersect two parallel lines, it makes same corresponding angles on both of the sides. That means
[tex]m\angle 1 = m\angle 5\\m\angle 2 = m\angle 6\\m\angle 3 = m\angle 7\\m\angle 4 = m\angle 8[/tex]
where that small 'm' denotes that we're taking about their measurements.
Thus, we will only find 1,2,3,and angle 4's measurements and rest four would be found.
Since angle 1 and angle 4 are vertical angles, they are same measurement. Since angle 1 is of 65 degrees, thus:
[tex]m\angle 1 = 65^\circ = m\angle 4[/tex]
Now, since angle angle 3 is supplementary to angle 1 and so as angle 2 to angle 4, thus:
[tex]m\angle 2 + m\angle 4 = 180^\circ\\m\angle 2 = 180-m\angle 4= 115^\circ\\\\m\angle 3 + m\angle 1 = 180^\circ\\m\angle 3 = 180-m\angle 1= 115^\circ[/tex]
Thus, we get the measurement of all angles as:
[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]
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Related Questions
Can someone please answer this
Answers
Answer:
It is true
Step-by-step explanation:
It is the same shape, it is just moved to a different spot on the graph because of translations.
9
The total cost of attending a state college is $10,280
for the first year.
Bella's grandparents will pay one-fourth of this cost.
Bella will receive an academic scholarship that will pay
another $4,000.
Which amount is closest to the minimum that Bella will need to
save every month in order to pay off the remaining cost at the
end of 12 months?
A
$297.50
B
$309.16
с
$547.50
D
$214.17
o 2020 Kraus Math LLC. Alrights reserved
Answers
Answer:
B
Step-by-step explanation:
Because my teacher gave us the answer.
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Answers
Answer:
1/4 the new area
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Given that:
Initial dimension of patio = 5' by 10'
Initial area of patio = Area of rectangle = Length * width
Area of patio = 5 * 10 = 50 in²
If dimension is multiplied by 2
New dimension :
5* 2 by 10*2 = 10' by 20'
New area of patio :
10 * 20 = 200 in²
50 /200 = 1/4
The old area will be 1/4 the size of the new area of the patio
There are 2.54 centimeters in 1 inch . How many centimeters are there in 1 foot? In yard?
Explain your reasoning
Answers
First find the number of centimeters is to multiply 36 (the number of inches per year) by 2.54 (the number of centimeters in an inch). Therefore there are 91.44cm in 1 yard.
Answer:
30.48 cm. in a foot, 91.44 in a yard
Step-by-step explanation:
2.54 x 12 (12 inches in a foot) is 30.48. 30.48 × 3 (3 feet in a yard) is 91.44
The local weather report stated there is a
3
chance of rain on Saturday. How likely is it to rain?
4?
Answers
Answer:
likley
Step-by-step explanation:
Its not certain at the fraction isn't 4/4 it is likely though as the there is a 3/4 chance which is more than half.
If p(x) = 5(x^2 +1) + 16, what is the value of p(11)?
A. 622
B. 736
C. 626
D. 690
Answers
C. p(11) = 626.
Step-by-step explanation:
Given : p(x) = 5(x²+1)+16.
To find : what is the value of p(11).
Solution : We have given p(x) = 5(x²+1)+16.
For x = 11.
p(11) = 5((11)²+1)+16.
p(11) = 5 ( 121 + 1 ) +16.
p(11) = 5 (122) + 16.
p(11) = 610 + 16.
p(11) = 626.
Therefore, p(11) = 626.
find the area of the square whose perimeter is 224cm
Answers
Answer:
3,136cm^2
Step-by-step explanation:
A square has 4 sides that are all equal to each other. This means the perimeter can be divided by the number of sides to find the measurement of each side.
224cm ÷ 4 = 56cm
Each side is 56cm
To find the area, we must multiply base and height. Since it is a square, it will be 56cm × 56cm.
56cm × 56cm = 3,136cm^2
Answer:
3136cm²
Explanation:
to find the area of the square, we first need to find the length of one of its sides. the perimeter is the total length of all 4 sides, so we can divide it by 4 to find the length of each side.
224 ÷ 4 = 56
now, we can square this to find the area of the square:
56² = 56 × 56 = 3136
thus, the area of the square is 3136cm².
i hope this helps! :D
Is –2,823,680 − 8,957,599 positive or negative?
Answers
Answer:
negative
Step-by-step explanation: it has negative signs
what is the area of a square with an apothem length of 14 inches?
Answers
Answer:
784
Step-by-step explanation:
A = 1/2ap A = area , a = apothem , p = perimeter
a = 1/2s a = apothem length , s = side length
14 = 1/2s , 14(2) = 1/2s(2) , 28 = s
p = 4(s) , p = 4(28) , p = 112
A = 1/2ap , A = 1/2(14)(112) , A = 784
or
A = s^2 , A = 28^2 , A = 784
The area of a square with an apothem length of 14 inches is 784 inches.
What is apothem?The perpendicular from the center of a regular polygon to one of the sides.
As, A = 1/2*a*p
where, A = area , a = apothem , p = perimeter
Also, a = 1/2s
where, a = apothem length , s = side length
14 = 1/2s
14*2=s
s=28 inches.
Now, perimeter of square
p = 4(s)
p = 4(28)
p = 112 inches
Now, Area of square,
A = 1/2ap
A = 1/2*(14)*(112)
A = 784 inches
Hence, the area of square is 784 inches.
Learn more about apothem here:
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The ratio of the number of boys to the number of girls in a choir is 7 to 4. There are 48 girls in the choir. How many boys are in the choir? A. 75 B. 84 C. 48 D. 90
Answers
Answer:
84boys
Step-by-step explanation:
boys:girls
7:4
4= 48
7=?
=84boys
PLEASEEE HELLP. I NEED HELP PLS
Answers
Answer:
C
Step-by-step explanation:
Triangle = 180
100+62.7+18=180.7
180.7 is not a triangle
Answer:
C 100.3, 62.7, 18
Step-by-step explanation:
Angles inside of a triangle add up to 180 degrees
Option A
25+85+70=180
Option B
11.6+91+77.4=180
Option C
100.3+62.7+18=181
Option D
60+60+60=180
Option C is the answer as it is the only option that does not add up to 180 degrees
pLEASE HELP me this is due today and dont post links plz?
Answers
Answer:
35
Step-by-step explanation:
Add them together and then divide
Answer:
b + b + h + h
Step-by-step explanation:
You are finding the perimeter of the given rectangle. Note that by definition of a rectangle, the opposite parallel sides will have the same measurement. In this case, Terrance gives the expression of 2b + 2h, and so simply just expand the expression:
2b + 2h = b + b + h + h
~
Which one is correct with each box
Answers
Answer:
the first one is (x+5)(x+7)
the second one is(x-7)(x-5)
the third one is (x-5)(x+7)
the fourth one is (x-7)(x+5)
What is the measure of EGF?
What is the measure of CGF?
Answers
Answer:
[tex]EGF = 65\\ CGF = 115[/tex]
Hello fello humans I need help on this question please and thank you :)
Answers
Answer: The value of x is 6.
Step-by-step explanation:
In the figure we have two secants.
A secant is a line that intersects a circle in exactly two points.
For the figure attached below:
[tex]a\times b=c\times d[/tex]
So for the given figure,
[tex]x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6[/tex]
Hence, The value of x is 6.
Answer:
x=6
Step-by-step explanation:
and hello to you as well
A linear function has an x-intercept of -8 and a y-intercept of 4. Which of these is an equation of the linear function?
Answers
Answer:
x-2y=-8
Step-by-step explanation:
it is what it is
The equation of the linear function having an x-intercept of -8 and a y-intercept of 4 is y = (1/2)x + 4.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A linear function has an x-intercept of -8 and a y-intercept of 4.
So, The two points on the line are (- 8, 0) and (0, 4).
Now, slope(m) = (4 - 0)/(0 + 8).
slope(m) = 4/8.
slope(m) = 1/2.
As it has a y-intercept of 4 it is the value of b, In y = mx + b.
Therefore, The linear function is y = (1/2)x + 4.
learn more about lines and slopes here :
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A can of Mountain Dew has 46 grams of sugar with is 92% of a persons maximum daily value. What is the maximum grams of sugar a person should consume a day?
Answers
Answer:
50 grams
Step-by-step explanation:
Let t = maximum daily sugar value
From the question, we know that : 92% of the daily value is 46 grams
this equation can be formed
0.92 x t = 46 grams
to find t, divide both sides of the equation by 0.92
t =46/0.92= 50 grams
HEY CAN SOMEONE HELP ME WITH MY LASTEST MATH QUESTION I WILL GIVE BRAINLIST PLEASE :)))
Answers
Answer:
I would love to help!!
Step-by-step explanation:
solve for x
2 3/4 x = 11 11/12
Answers
Answer:
If your question mean : 2×3/4×X = 11×11/12 then ans is (121/18) I.e. 6.722
Step-by-step explanation:
1) multiply all the numerator part
2) Cross multiply and solve for X.
URGENT Find the area of the shaded region.
Answers
Answer: 3.32276 units squared
Step-by-step explanation:
area of total sector=(pi*r^2)/360
=2^2 * 120pi /360
=4*120/360 * pi
=4.1887902
area of the triangle=(1/2)*base*height
the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2
the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.
the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025
so the difference is 4.1887902-0.866025
=3.32276 units squared
Can someone please help me with this i don't understand the way my teacher explained it
Answers
Answer:
I dont even understand that and im in 8th grade lol
Answer:
7,476 would be your answer because
62,300 divided by 3% is 1,869
and 1,869 times 4 is 7,476
Step-by-step explanation:
Please help me with the math questions!!!
1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?
2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?
3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?
4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?
5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?
6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?
7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?
Answers
Answer:
#1. $308.28
#2. $48,004.80
#3. $19,361.91
#4. $20,306.31
#5. $130.00
#6. $206.38
#7. $337.57
Step-by-step explanation:
All rounded to the near tenths place
and i just did this same assignment rn
Question 9 of 25
What is the probability that out of 250 bables born, 130 or fewer will be boys?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
A. 3.3%
B. 75.7%
C. 97.5%
D. 28.5%
SUBMIT
Answers
helpo meeee pleaseeee
Answers
Answer:
A. is correct
Step-by-step explanation:
Divide both sides by 11
Which two parallelograms have the same area
Answers
Answer:
Solution given:fig 1
base[b]=4cm
height[h]=15cm
we have
Area of parallelogram=b×h=15×4=60cm²
Solution given:fig 2
base[b]=18cm
height[h]=3cm
we have
Area of parallelogram=b×h=18×3=54cm²
Step-by-step explanation:
Solution given:fig 3
base[b]=11cm
height[h]=6cm
we have
Area of parallelogram=b×h=11×6=66cm²
Solution given:fig 4
base[b]=12cm
height[h]=5cm
we have
Area of parallelogram=b×h=12×5=60cm²
So fig 1 =fig 4[Area]
Use vertical angles to find the value of x. Use pencil and paper. Is it possible to find the value of x without using vertical angles? Explain your reasoning.
Answers
Answer:
40=(x/6)
40×6=240
x=240?
The value of x is 204 degree.
What is vertical opposite angle?The point where they meet is called a vertex. When two lines intersect, the opposite (X) angles are equal.
As line UM and FQ is intersecting at point x.
Using Vertical opposite angle,
x/6= 40
x=40*6
x=240
Hence, the vertically opposite angle is 240.
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john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?
Answers
Answer:
49x + 114
Step-by-step explanation:
[ [ fireplace ] x = area of 5[tex]x^{2}[/tex] ] x + 6
5x
patio = area of 5[tex]x^{2}[/tex] + 49x + 114
5x + 19
(5x + 19) ( x + 6) = 5[tex]x^{2}[/tex] + 19x + 30x + 114
(5[tex]x^{2}[/tex] + 49x + 114) - (5[tex]x^{2}[/tex] ) = 49x + 114
(area of patio and fireplace) - (area of fireplace) = (area of patio only)
Practice: Trigonometric Ratios Sides
Answers
Answer:
30.67
Step-by-step explanation:
Given the following
Opposite side = x
Adjacent = 17
Angle = 61degrees
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 61 = x/17
x = 17tan61
x = 17(1.8040)
x = 30.67
Hence the value of x is 30.67
Are the two triangles similar? How do you know (What Theorem)?
Answers
Answer:
They are similar because of the SAS triangle similarity theorem.
Step-by-step explanation:
The angles in the interconnection of the two triangles are the same because they have the same vertex and lines.
The two sides are similar by a ratio of 1.5.
9/6 and 6/4 both equal to 1.5, which means that they have the same ratio.
Because there is a side that's similar, an angle that's congruent, and then a side that's similar, you can say that the triangles are similar basing on the SIDE-ANGLE-SIDE triangle similarity theorem.
Eighth grade T.12 Surface area of cylinders FGU What is the surface area of this cylinder? Use as 3.14 and round your answer to the nearest hundredth. 4 cm 6 cm square centimeters
Answers
Answer:
nosbao
Step-by-step explanation: