Answers
Angle 2 = 136
Angle 3 = 44
Angle 4 = 136
Angle 5 = 62
The measure of angle ∠1 is 44 degrees and the measure of angle ∠5 is 62 degrees.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
Angle ∠1 and 46° are complementary angles. Then we have
∠1 + 46° = 90°
∠1 = 44°
Angle ∠1 and ∠3 are vertically opposite angles. Then we have
∠1 = ∠3 = 44°
The sum of all the angles of the triangle is 180 degrees. Then we have
∠3 + 74° + ∠5 = 180°
44° + 74° + ∠5 = 180°
∠5 = 62°
More about the angled link is given below.
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Related Questions
Solve the system of equations using the tables below
Answers
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
Determine whether the given ordered pair is a solution to the system of equations.
Yes or no?
(6,-1)
x-y=3
2x+5y=6
Answers
Solution:
Substitute the values of x & y into the first equation
6 -(-1) = 3
6 + 5 is NOT equal to 3
Therefore we can say this is not true
For this to be true, when substituting the values of x & y, the equation must be true for BOTH equations. Since it’s not true for the first equation it doesn’t matter if it’s true or not for the other equation.
I hope this helps!
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
Answers
If x*y =
1, then 7 * 28 =
Answers
Solve the equation 4(0.2*-5)=12
Answers
Hey there!
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
[tex]4(0.2\times-5)=12[/tex]
This equation is false because the value of 4(0.2 * -5) is not equal to 12.
Hope this helps!
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?
Answers
Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answers
Answer:1933
Step-by-step explanation:
Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answers
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)
find the value of x when lines w and v are parallel.
Answers
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
Answer:
B) 17
Step-by-step explanation:
find the value power of 3^4
Answers
Answer:
81
Step-by-step explanation:
3 ^4 =3 ×3 ×3 ×3 =81
factorize6 + 13mn + 7mn?
Answers
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Would the answer be 250 ?
Answers
The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answers
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?
a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3
Answers
Density= mass/volume
12.9g/8cm3= 1.6 g/cm3
A square serving platter has an area of 49cm2. What is the side length?
Answers
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
Evaluate –3^2+ (2 – 6)(10
Answers
9 + (-4)(10)
9 + (-40)
9 - 40
-31
Hope this is correct and that it helps :)
768 pages in 8 days = _____ pages per day
Answers
(I hope this helps)
If f(x) = 6x and g(x) = 4x+1, find (fog)(x).
Answers
Answer:
a) 24x+6
Step-by-step explanation:
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answers
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
Answers
Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
y=2x+5 is the equation.
Answer:b
Step-by-step explanation:
Whats the three numbers between 813 930
Answers
The numbers between 813-930 are 870,880,925.
It is required to find the three numbers.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given:
We have to find the three numbers between 813 to 930.
Numbers between 813-930 are 870,880,925.
Therefore , the numbers between 813-930 are 870,880,925.
Learn more about real number here:
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MATH PLEASE HELP
heeeeeeeelp
Answers
The value of -31.45/-3.21 is around?
Answers
Write each percent as a fraction
170%
120%
220%
Answers
Answer:
Step-by-step explanation:
1.17/10
2.6/5
3.11/5
answers:
170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]
120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]
220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]
hope this helps! best of luck <3
Can you please help with this question
Answers
Answer:
all
Step-by-step explanation:
first we can combine 5x and - 2x
5x + -2x = 3x
now we have 3x + 5 > 11
now we can go through all of the numbers to see which numbers make the inequality true
3 yes
3 * 3 = 9
9 + 5 = 14
so all of the numbers make it true
Answer:
d is the right answer
Step-by-step explanation:
3x+5-2x>11
3(3)+5-2(3)>11
8>11
so a is wrong
3(5)+5-2(5)>11
10>11
so b is wrong
3(6)+5-2(6)>11
11>11
c is wrong bc they equal
-200 + {37}{3}4.5) -200 + 55.5
Answers
Answer:
-294.55
Step-by-step explanation:
-200+ 49.95 -200 +55.5
49.95+55.5-200-200
-294.55
Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]
Answers
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Answers
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
3a+8+2ax≥3ax-4a what is a
Answers
Answer:
A=3 I'm 95% sure but if you're not sure then use PEMDAS
P-parentheses
E-exponets
M-multiply
D-divide
A-add
S-subtract
I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Answers
Answer:
Step-by-step explanation:
Income tax = 9.8%
Housing = [tex]\frac{11400}{48900}\times 100[/tex]
= 23.3%
Food = [tex]\frac{7800}{48900}\times 100[/tex]
= 16.0%
Clothing = [tex]\frac{900}{48900}\times 100[/tex]
= 1.8%
Transportation = [tex]\frac{6000}{48900}\times 100[/tex]
= 12.3%
Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]
= 29.5%
Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for college = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Total = 100%
Answer:
Income tax = 9.8%
Housing =
= 23.3%
Food =
= 16.0%
Clothing =
= 1.8%
Transportation =
= 12.3%
Insurance and medical =
= 29.5%
Entertainment =
= 2.5%
Emergency funds =
= 1.2%
Savings for college =
= 1.2%
Savings for retirement =
= 2.5%
Total = 100%
Step-by-step explanation: