Answers
Answer:
[tex]\displaystyle 70°[/tex]
Step-by-step explanation:
Consecutive Exteriour Angles form a linear pair, so you set them equal to [tex]\displaystyle 180°:[/tex]
[tex]\displaystyle 180° = 110° + m∠4; 70° = m∠4[/tex]
I am joyous to assist you at any time.
Related Questions
3 consecutive integers is 234. What is the equation to solve this equations and what are the 3 integers?
Answers
Answer:
1. The equation to solve this equations is:
= 3x = 231
2. The three integers are 77, 78 and 79.
Step-by-step explanation:
The sum of 3 consecutive integers = 234
let x = first integer
let x+1 = second integer
let x+2 = third integer
Therefore,
= x + x + 1 + x + 2 = 234
simplified to:
= 3x = 231
b) Adding three consecutive numbers adds the smaller number to itself three times, and then adding 1 for the second number, and two for the third number. So, the sum of the three consecutive numbers is divisible by 3. Therefore, to get the second (or middle) number, divide the total by 3, and then subtract 1 and add 2 to get the first and the third numbers, respectively.
A rectangle has a length of 5r - 6 and a width of 2r + 3. Find the area.
Answers
Answer:
[tex]10r^2+3r-18[/tex] sq. units
Step-by-step explanation:
The area of a rectangle is its length multiplied by its width, so in this case:
[tex]A=(5r-6)(2r+3)[/tex]
We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:
[tex](5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18[/tex]
Which would show that the diagonals of HJKL are perpendicular? Select all that apply.
Answers
Answer: A and D
Step-by-step explanation:
The diagonals are perpendicular since,
- HJ ⊥ KL
- Slope of HJ x Slope of KL = -1
Options A and D are the correct answer.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
HJKL is a quadrilateral.
The diagonals are HJ and KL.
To show that the diagonals are perpendicular,
We can have the following.
- HJ ⊥ KL _____(1)
- Slope of HJ x Slope of KL = -1 _____(2)
Thus,
The diagonals are perpendicular since,
- HJ ⊥ KL
- Slope of HJ x Slope of KL = -1
Learn more about parallelograms here:
https://brainly.com/question/1563728
#SPJ2
PLEASE HELP TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Which ordered pair is the reflection of (5, −8) across the x-axis and the y-axis?
(−5, −8)
(−5, 8)
(8, −5)
(−8, 5)
Answers
Answer:
b
Step-by-step explanation:
pls give me brainliest
Solve for x.
3(x - 4) = 2x + 6
Α. Ο
B. 2
C. 3.6
D. 10
E. 18
Answers
3x - 12 = 2x + 6
3x = 2x + 6 + 12 (put all of the integers on one side)
3x = 2x + 18 (simplify - collect like terms)
3x - 2x = 18 (put all of the unknowns on one side)
x = 18 (simplify - collect like terms)
Therefore, we know that x is equal to 18, and so the answer is E.
A cable 33m long runs from the top of a utility pole to a point on the ground 22m from the base of the pole. How tall is the utility pole
Answers
Answer: 24.6 m
Step-by-step explanation:
The shape described is that of a right-angled triangle.
This means that the height of the pole can be calculated using the Pythagorean rule.
c² = a² + b²
c = hypothenuse which is the length of the cable to the ground = 33m
a = base = distance from base of pole to cable point on ground = 22m
b = height of pole
33² = 22² + b²
1,089 = 484 + b²
b² = 1,089 - 484
b² = 605
b = √605
b = 24.6 m
Which term describes -8/27
Integer
Natural number
Rational number
Whole number
Answers
Answer:
I would say rational numberStep-by-step explanation:
hope it helps :)
B Then he said again, "I'll be back to check on you. One wrong move and off you go to prison too."
Answers
Answer:
What do you mean and whats the question
Step-by-step explanation:
???
Answer:
i dont think thats a question srry 2 break it to u bro
Step-by-step explanation:
ANSWER QUICK I WILL GIVE BRAINLIEST THANKS
Answers
Answer:
25/14
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
I need help asap on number nine. it would be much appreciated. only number 9
Answers
Answer:
18
Step-by-step explanation:
they are vertical angles so they are equal
6y+40=10y-32
6y+40+32=10y-32+32
6y+72=10y
6y-6y+72=10y-6y
72=4y
72/4=4y/4
18=y
simplify the expressions: 11y - 8y - 2y, 4k+(5k+11)), (-3q-2q) + (5a + q)
Answers
Answer:
y, 9k+11, -4q+5a
Step-by-step explanation:
Mostly it's just combining like terms!
11y-8y-2y
3y-2y
y
4k+(5k+11)
4k+5k+11
9k+11
(-3q-2q)+(5a+q)
-3q-2q+q+5a
-5q+q+5a
-4q+5a
Help me ASAP I’ll mark brainliest
Answers
Answer:
x=4
Step-by-step explanation:
Alright so for this one the following angles are corresponding meaning that the two equations are equal to each other. Knowing that you then have to set up an equation and the equation is 25x=4+24x. Now you wanna get the variable and the constant on different sides. To do this you subtract 24 from each side to get 1x=4. Then you divide each side by 1 to get x=4
Ellen started playing a video game at 8:30 A.M. It took her 2 hours and 35 minutes to beat the first level and 1 hour and 30 minutes to beat the second level. Ellen played the final level for 25 minutes and finished the game. What time was it when Ellen stopped playing the game? ]
Answers
Answer:
1:00 PM
Step-by-step explanation:
8:30 AM + 2.35h + 1.30h + 25m = 1:00 PM
CD is a median of triangle ABC and M is the
centroid. If CM = x +5 and CD = 5x + 1,
what is the value of x ?
Answers
Answer: a) [tex]\dfrac{13}{7}[/tex]
Step-by-step explanation:
Median: Line segment from one vertex of a triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.
Centriod: Point of intersection of a triangle of its medians
.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.
Given: CD is a median in triangle ABC and M is centriod.
[tex]\Rightarrow CM=\dfrac23 CD[/tex]
Since CM = x +5 and CD = 5x + 1
[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]
Correct option is a)
A circle has a diameter of 60 yards. How does the diameter compare to the circumference of the circle?
A The diameter is about of the circumference.
Answers
X = 3.14 x 60
X = approx. 188.4 yards
-4 + 2 + x = 0 Which value for x would make this equation true?
Answers
Answer:
x=2
Step-by-step explanation:
-4+2+x=0
-2+x=0
x=2
2) y=-x+2 how do I answer this question
Answers
Answer:
x (2,0)
y (0,2)
Step-by-step explanation:
the right way
explain why the graph of [tex]y=2x^{2} +4x-k+1[/tex] has no x-intercepts when k=-5
Answers
Is (2,4), (3,9), (4,16), (5,25) a linear function
Answers
Answer:
Step-by-step explanation:
Yes
4(y+8)=100 help me pls due today
Answers
Answer:
y=17
Step-by-step explanation:4(y+8)=100
We move all terms to the left:
4(y+8)-(100)=0
We multiply parentheses
4y+32-100=0
We add all the numbers together, and all the variables
4y-68=0
We move all terms containing y to the left, all other terms to the right
4y=68
y=68/4
y=17
Answer:
[tex]4(y + 8) = 100 \\ 4y + 32 = 100 \\ 4y = 100 - 32 \\ 4y = 68 \\ y = \frac{68}{4} \\ \boxed{y = 17}[/tex]
y=17 is the right answer.A circle has an area of 314.1592. What is the diameter? (round to the nearest whole number)
Answers
Answer:
20
Step-by-step explanation:
The area of a circle is equal to pi*radius^2
We can then write this as
314.1592=π*r^2
We then divide pi to get
100=r^2
take the square root and you find that the radius equals around 10
The diameter is always equal to the radius times two which means that the diameter is 20
hope this helps
solve for x by factoring and using the zero product property
3x^2-13x-10=0
Answers
move all terms to the left side and set equals to zero. then set each factor equal to zero
Find the volume of a right circular cone that has a height of 11.6 in and a base with a
radius of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
701.64
Step-by-step explanation:
The ratio of money in Terry's bank account to Faye's bank account was 3:5.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answers
Answer:
Terry had £780 initially and Faye had £1300
Step-by-step explanation:
System of Equations
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:
[tex]\frac{x}{y}=\frac{3}{5}[/tex]
Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
Which side is adjacent to
Answers
Answer:
Answer is on the pic
Step-by-step explanation:
I hope it's helpful!
Simplify: 3 square root 3 + square root 12
Answers
Answer:
Step-by-step explanation:
Number Square Root (√)
12 3.464
What is the quotient in simplest form?
Four-fifths divided by 8
StartFraction 1 Over 10 EndFraction
One-half
8
10
Answers
Answer:
StartFraction 1 over 10 end fraction
Answer:
is one over ten startfraction
Step-by-step explanation:
Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.
Answers
Answer:
10 hours
Step-by-step explanation:
130-50-80
80 divided by 8 equals 10
Answer:
Hope this helps:)
How can you prove a polynomial identity?
Answers
Answer:
To show that an equation is an identity: Start with either side of the equation and show that it can algebraically be changed into the other side. Or start with both sides of the equation and show that they both can be changed into the same algebraic expression.
Step-by-step explanation:
show how to solve 2 3/4 - 1 1/2 in two different ways
Answers
Answer:
yur
Step-by-step explanation:
1 1/2 = 3/2
3/2 = 6/4
11/4-6/4 = 5/4 or 1 1/4
2. 1/2 = 2/4
2-1 = 1
3/4 - 2/4 = 1/4
Answer= 1 1/4
