Answer:
m∠4 = 140°
Step-by-step explanation:
m∠1 = m∠4 (parallel lines with same angle)
m∠2 = m∠3 (parallel lines with same angle)
if m∠2 = m∠3 are equal:
3x + 10 = 5x - 10
3x - 5x = -10 - 10
-2x = -20
x = 10°
m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°
m∠1 + m∠4 + 40° + 40° = 360°
2 m∠4 = 360° - 80°
2 m∠4 = 280°
m∠4 = 140°
Answer:
m∠4 = 140°
Step-by-step explanation:
Vertical Angle Theorem: vertical angles are always congruent.
Therefore, m∠1 = m∠4 and m∠2 = m∠3
As m∠2 = m∠3, then
⇒ 3x + 10 = 5x - 10
⇒ 20 = 2x
⇒ x = 10
So m∠2 = 3x + 10 = 3(10) + 10 = 40°
m∠2 and m∠4 form a linear pair
Therefore m∠2 + m∠4 = 180°
⇒ 40 + m∠4 = 180
⇒ m∠4 = 140°
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair always sum to 180°
Maggie makes $57,600 a year. Estimate how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income.
She can afford to pay $1296 per month.
How much can Maggie afford to pay?Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:
100 = 5760027 = X27 x 57600 / 100 = X27 x 576 = X15552 = X15552 / 12 = 1296Therefore, she can afford to pay $1296 per month.
Learn more about calculus in https://brainly.com/question/14478573
Express the ratio below in its simplest
form.
14:7:21
ok- i need help!
what's this ......
6(x+9)=9
Answer:
[tex]x=-\frac{15}{2}[/tex]
Step-by-step explanation:
Start by distributing the 6 to each of the terms in the parentheses:
6(x)+6(9)=9
6x+54=9
Subtract 54 from both sides
6x+54-54=9-54
6x=-45
Divide both sides by 6
x=-45/6
Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.
x=-15/2
[tex]\huge \boxed{\tt x= - 7.5}[/tex]
Step-by-step explanation:
First write the equation[tex] \to \sf6(x+9)=9[/tex]
[tex] \\ \\ [/tex]
Divide the 6 to 9 which is multiplying (x + 9) .[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]
[tex] \\ \\ [/tex]
Divide numerator and denominator in right side by 3[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]
[tex] \\ \\ [/tex]
Subtract 3/2 with 9[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]
[tex] \\ \\ [/tex]
After subtracting we will get our product as - 15/2[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]
[tex] \\ \\ [/tex]
Round of -15 / 2 to get product as - 7.5
[tex] \to \sf x= - 7.5[/tex]
Verification:
6(x+9)=9
6(- 7.5 +9) = 9
6 × 1.5 = 9
9 = 9
Hence verified ~☆
Can anyone please help me with this??? I really need it );
Answer:
(x,y) (9,4)
Step-by-step explanation:
-2x+7y = 10
x -3y = -3 (move x to the other side)
-2x +7y = 10
x = -3 + 3y (put in for x)
-2 (-3 +3y) +7y =10 ( slove for y)
6-6y +7y = 10
6+y = 10
y = 10-6
y = 4
go back slove for x
x = -3+3x4
x = 9
a. 5,68 ÷ 3,4
b. 987,3 ÷ 2,13
c. 34,23 ÷1,5
Put how you get to the result pls
Answer:
a: 1.6705882352941
b:463.52112676056
c: 22.82
PLEASE HELP GEOMETRY PLEASE HELP
Answer:
Step-by-step explanation:
Scalene (no equal side): 4th triangle
Isosceles (two equal sides): 1st, 2nd, and 4th triangle
Equilateral (all equal sides): 3rd triangle
Hope this helps!
A rectangular garden has an area of 52 square yards. If we multiply its
length and width by 15, what is the area of the new rectangle?
OA) 1540 yd.?
OB) 12,270 yd.?
OC) 11,700 yd?
OD 270,000 yd?
Please answer soon!
Answer:
It is OC) 11,700 yd.
Step-by-step explanation:
when finding new area, take you 2 numbers, 52 and 15, square the 15, then multiply them 52 x 15^2 = 11,700
Answer:
C) 11, 700 yd²
Step-by-step explanation:
Let [tex]x[/tex] = width of a rectangle
Let [tex]y[/tex] = length of a rectangle
Area of a rectangle = width x length
⇒ area = [tex]xy[/tex]
If a rectangular garden has an area of 52 yd²
⇒ [tex]xy[/tex] = 52
If the length and width are multiplied by 15:
⇒ new width = [tex]15x[/tex]
⇒ new length = [tex]15y[/tex]
⇒ area = [tex]15x \times 15y=225xy[/tex]
If xy = 52,
new area = 225xy = 225 x 52 = 11700
Adult tickets to the faculty-students basketball game sold for $5 each and student ticket was sold for $2 each. if 235 tickets were sold for a total of $725, how many of each kind of ticket were sold?
Answer:
85 adult tickets
150 children tickets
Step-by-step explanation:
we can write a system of equations and then use the 'elimination method':
let a = adult tickets
let c = children tickets
a + c = 235
5a + 2c = 725
we can multiply the first equation by -5 to get:
-5a - 5c = -1175
now we can add the second equation to get:
5a + 2c = 725
-3c = -450
c = 150
a + 150 = 235
a = 85
I NEED HELP PLEASE !!!!
Given a square with an area of 49 square units, determine the length of the diagonal.
Answer:
9.899
Step-by-step explanation:
Area of square = side × side
49 = side × side
7 × 7 = side × side
Side = 7 cm
Diagonal of square = side × root2
= 7 × Root2 cm
= 9.899
HELP WORTH ALL THE POINTS I CAN GIVE!
I really don't understand this please help.
Answer:
try asking a parent or brother/sister
Which table represents a function? please help I will give brainlist
Answer:
the second table on the bottom
Step-by-step explanation:
To be a function the points have to pass the horizontal line test.
When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.
What is the rule for the number pattern below
900, 800, 650, 500, 350,....
A. Subtract 150.
B. Subtract 100.
C. Add 200
D. Add 250.
Answer:
I think there should be 950 at the first .. then the answer will be subtract 150
An organization that installs water wells for people living in the Central African Republic candig a well 90 feet deep in 6 hours. If the drill continues at a constant
rate, how many hours lored will the drill be at 22.5 feet?
Answer: 1.5hr
Step-by-step explanation:
The sum of two consecutive numbers is 91. Find the numbers
Answer:
45 and 46
Step-by-step explanation:
let x = the smaller number
thus, x + 1 is the next consecutive number
x + x + 1 = 91
2x + 1 = 91
2x = 90
x = 45
x + 1 = 46
Answer:
1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..
HOPE IT HELPS
Can someone explain to me how to do this? I just don't get it.
Answer:
x=130
Step-by-step explanation:
triangle=180
180-34-96=50
line=180
180-50=130
what is 87 x 54 - 200 divided by 7
Answer:
87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7
Step-by-step explanation:
How can cell Survival be predicted
Answer:
Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.
Solve square root of x + square root of x+2 = 2
The value of x is [tex] \frac{1}{4} [/tex]
Step-by-step explanation:
Given:
[tex] \sqrt{x} + \sqrt{x + 2} = 2[/tex]
Rearranging the radical on left side,
[tex]\sqrt{x + 2} = 2 - \sqrt{x}[/tex]
Power on both sides,
[tex](\sqrt{x + 2})^{2} = (2 - \sqrt{x})^{2} [/tex]
Simplifying the left,
[tex]x + 2 = (2 - \sqrt{x} )^{2}[/tex]
For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),
[tex] = > x + 2 = {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2} [/tex]
Now calculating its powers,
[tex] = > x + 2 = 4 - 4\sqrt{x} + x[/tex]
Now sending -4√x to the LHS (left side), its sign becomes plus (+),
[tex] = > 4 \sqrt{x} = 4 + x - x - 2[/tex]
Now the +x and -x will be cancelled,
[tex] = > 4 \sqrt{x} = 4 - 2[/tex]
[tex] = > 4 \sqrt{x} = 2[/tex]
Bringing 4 to the right side, it becomes the denominator,
[tex] = > \sqrt{x} = \frac{2}{4} [/tex]
[tex] = > \sqrt{x} = \frac{1}{4} [/tex]
Now powering both sides,
[tex] = > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}[/tex]
[tex] = > x = \frac{1}{4} [/tex]
petra loves animals she has twelve pets in all four of which are rabbits write a fraction to describe the numberr of rabbits she has
a couple is blessed with a boy and a girl. In four years time the sum of their ages will be 29 years . what is the age of the boy.
Answer:
boy = 14 yrs
Step-by-step explanation:
29-4=25
25-11=14
SOMEONE HELP ME PLEASE
Answer:
[tex]\frac{11}{2}[/tex]
Step-by-step explanation:
[tex]\frac{x}{AB}[/tex]=cos60
x=[tex]\frac{AB}{2}[/tex]=[tex]\frac{11}{2}[/tex]
in a right angled triangle cosA=[tex]\frac{adjacent}{hypotenuse}[/tex]
so cosB=[tex]\frac{x}{11}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{x}{11}[/tex]
x=[tex]\frac{11}{2}[/tex]
Answer:
5.5 unitsStep-by-step explanation:
x is the smallest side because it is opposite of 30° angle.
The side opposite to 30° is half the hypotenuse:
BC = AB/2x = 11/2x = 5.5The circle has a center of S. Suppose that m
Answer:
a) m line over OR=108 degrees =0.6[tex]\pi[/tex]
b) m <QSR=108 degrees
Step-by-step explanation:
Why do you think there were more than 20 riots across the nation that summer
Answer:
beacuse it was so hot and people were stealing alot and thir king suks
Step-by-step explanation:
Answer:
In the summer of 1919, over 20 race riots broke out across the nation. The worst violence occurred in Chicago. African Americans went to White Beach only and that started violence. Each sides started throwing stones at each other, and a person drowned. A full-scale riot then erupted in the city. Angry African Americans attacked white neighborhoods while whites attacked African American neighborhoods. In the end, 38 people died—15 white and 23 black—and over 500 were injured. The most serious racial outbreak occurred in Chicago late in July of the Red Summer. A African American drifted into water that was customarily used by whites, White swimmers commanded him to return to his part of the beach, and some threw stones at him. The man drowned and that caused a riot between African American and White people. 38 people had been killed, including 15 whites and 23 blacks. Hope this helps!
Regular admission price for a family to enter an amusement park is $345.80. The Patel family used a discount coupon that gave them 35% off the normal price. How much did the family save?
I need help, I really would appreciate it.
Tim and Joy are buying a home for the first time. They purchase a $225,000 house and put
$25,000 down. Their annual property taxes are $4,800, and their annual property insurance costs
are $1,200. What is their total monthly payment if they get a mortgage for 15 years at 3.5% (they
monthly payment includes the monthly property tax amount and monthly property insurance
amount)
Answer:
the answer is is is is is is is is .............. 194,000
. A triangle has side lengths 6, 11, and 13. Is the triangle acute, obtuse, or right? Explain.
What is 900 to the 6th power?
Answer:
5,314,411,000,000,000,000
Step-by-step explanation:
5.31441* 10^17 = 5,314,411,000,000,000,000
i need help with this please!
Volume of a sphere:
V = (4/3)πr³
Circumference of a sphere:
C = 2πr
Surface area of a sphere:
A = 4πr²
above are important sphere related equations
so to find the surface area plug in values for equation
A= 4πr²
= 4 × 3.14 × 5.4 ×5.4
= 366.25 mm²
Solve this equation 7x + 1 /16 = 1 /2 Algebra
Answer: 1/16
Step-by-step explanation:
1/2 - 1/16 = 8/16 - 1/16 = 7/16
7/16 / 7 = 1/16
Answer:
[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]
Step-by-step explanation:
CONCEPT :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
To solve this equation we will follow the given concept :
[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]
[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]
Hence, the value of x is 1/16.
[tex]\rule{300}{2.5}[/tex]
The function for the speed of a ball thrown straight up in the air is given by v(t) = 128 − 32t, where v is the ball's velocity (in feet per second) and t is the number of seconds after the ball is thrown.
What is the slope? What does it represent? (1 point)
−32; velocity decreases at rate of 32 feet per second as the time increases
32; velocity increases at rate of 32 feet per second as the time increases
−128; velocity decreases at rate of 128 feet per second as the time increases
128; velocity increases at rate of 128 feet per second as the time increases
Answer:
A) −32; velocity decreases at rate of 32 feet per second as the time increases
Step-by-step explanation:
Rewrite v(t) = 128 - 32t as v(t) = -32t + 128
We see that our slope is -32 ft/s given it's in slope-intercept form with an initial height of 128 feet.