Answers
If two parallel lines are intersected by a transversal, then internal opposite angles are equal.
So, x° = 61°
=> x = 60
Because they are internal opposite angles.
Related Questions
Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°
Answers
Answer:
here's the answer to your question
Answer:
D) 40
Step-by-step explanation:
To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.
It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?
Answers
Answer:
Gloves = 11 pairs
Socks = 4 pairs
Step-by-step explanation:
Given that :
Time taken to knit pair of socks = 3 hours
Time taken to knit pair of gloves = 7 hours
Total time taken to knit 15 pairs of gloves and socks = 89 hours
Let :
number of socks = x and number of gloves = y
x + y = 15 - - - - (1)
3x + 7y = 89 - - - (2)
From (1):
x = 15 - y
Put x = 15 - y in (2)
3(15 - y) + 7y = 89
45 - 3y + 7y = 89
45 + 4y = 89
4y = 89 - 45
4y = 44
y = 44/4
y = 11
From :
x = 15 - y
x = 15 - 11
x = 4
Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)
Answers
Answer:
(n-2)180
Step-by-step explanation:
Let us assume the number of sides is 'n'.
So,
The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180
I cant think of this question
Answers
Answer:
abcdsStep-by-step explanation:
What is an equation of the line that passes through the points ( − 7 , 7 )and( 3 , 7 )
Answers
Answer:
Y=7
Step-by-step explanation:
x1 y1 x2 y2
-7 7 3 7
(Y2-Y1) (7)-(7)= 0 ΔY 0
(X2-X1) (3)-(-7)= 10 ΔX 10
slope= 0
B= 7
Y =0X +7
Answer:
y = 7
Step-by-step explanation:
(x₁, y₁) = (-7 , 7) & (x₂, y₂) = (3 , 7)
y-co-ordinate are same for both points. So, the line parallel to x-axis and it's slope =0
A line that is parallel to x-axis and has a y-intercept 'c' has the equation y = c
y = 7
instructions find the value of x
Answers
Answer:
Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5
Can someone plz help me I need help
Answers
Answer:
C'(-1,-2), V'(-2,2), N(2,0)
Step-by-step explanation:
Dilation of (1/2) means multipling (1/2) to every coordinate. C'(-1,-2), V'(-2,2), N(2,0).
Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II
Answers
Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
Answer:
12.9
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x
Multiply both sides by x
x * Tan(51) = 16
Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.9
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answers
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
Determine whether the two triangles are similar.
Answers
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.
what is JR?
2 points
K
R
569
27°
72°
M
Answers
Answer:
Step-by-step explanation:
In a parallelogram, this one in particular:
KR = RM
JR = RL
We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that
KM = KR + RM, but since KR and RM are the same length, the equation becomes
KM = 2KR. Filling that in with the expressions I'm given for KM and KR:
3x - 5 = 2(x + 7) and
3x - 5 = 2x + 14 and
x = 19. Now I can find the length of JL:
JL = 4x - 10 so
JL = 4(19) - 10 and
JL = 66
Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answers
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
Answer quick plsssssssssss thx
Answers
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
Find a recursive rule for the nth term of the sequence.
-8, 3, 14, 25, ...
Answers
Answer:
Step-by-step explanation:
a1=-8
a2=3
D=11
n=-8+11(n-1)
A1=-8
A2=3
D=11. n=-8+11(+1)
what is the square root of 100
Answers
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
10x2y+40x2−2xy3−8xy2 factories this expression
Answers
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0
Answers
90
6+6=12
12+8=20
20+10=30
30+12=42
42+14=56
56+16+18=90
1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0 would equal to 90 if you break it down.
Hope this helps!
Have a great day :)
Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answers
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
Hasib earns 30 cents for every carrot he sells.
He earns an extra $3 for every 30 carrots he
sells. How many carrots must he sell in order to
earn $555?
Answers
Answer:
He must sell 1390 carrots
Step-by-step explanation:
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
1387.5
multiply 30 by .3 to get $9 for 30 carrots
Then add $3 to this amount to get $12 dollars.
Divide 555 by 12 to get 46 R3.
Multiply 46 by 30 because its 46 bundles of 30 carrots
Then divide the 3 dollars by .3 for each carrot to get 10 carrots
1380+10 = 1390
Hasib must sell 1390 carrots in order to earn $555.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given information; Hasib earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells.
So, the equation form;
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
Now, multiply 30 by .3 to get $9 for 30 carrots
Then add $3 + 9 = $12 dollars.
Now, Divide 555/ 12 = 46 R3.
46 x 30 = 1380 because its 46 bundles of 30 carrots
For each carrot to get 10 carrots
1380 + 10 = 1390
Therefore, Hasib must sell 1390 carrots in order to earn $555.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
can i get some help solving this
Answers
Answer:
A =147 cm^2
Step-by-step explanation:
A = pi r^2
The radius is 7 and let pi = 3
A = 3*7^2
A = 3*49
A =147
Plz solve question 12
Answers
Answer: C
Step-by-step explanation:
To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.
[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]
Let's add the equations together. This way, 3f+(-3f)=0
[tex]-4k=24[/tex] [divide both sides by -4]
[tex]k=-6[/tex]
Now that we know k, we can plug it into either equation to find f.
[tex]3f-2(-6)=10[/tex] [multiply]
[tex]3f+12=10[/tex] [subtract both sides by 12]
[tex]3f=-2[/tex] [divide both sides by 3]
[tex]f=-\frac{2}{3}[/tex]
Now that we have f and k, we know that C is the correct answer.
help please tries 2 times
Answers
Answer:
(2,1)
Step-by-step explanation:
2x - 2y = 2
5x + 2y = 12
again just add them in this case
7x = 14
x = 2
4 - 2y = 2
-2y = -2
y = 1
Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T
Answers
Answer:
Step-by-step explanation:
The model for exponential growth/decay is
[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:
[tex]P(t)=10(1.04)^t[/tex]
Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.
.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Answers
Answer:
The third exterior angle is [tex]103^o[/tex]
Step-by-step explanation:
Given
[tex]\theta = 158^o[/tex]
[tex]\alpha = 99^o[/tex]
Required
The third exterior angle [tex](\beta)[/tex]
The exterior angles of a triangle add up to 360 degrees.
So:
[tex]\theta + \alpha + \beta = 360^o[/tex]
Make [tex]\beta[/tex] the subject
[tex]\beta = 360^o - (\theta + \alpha)[/tex]
Substitute known values
[tex]\beta = 360^o - (158^o + 99^o)[/tex]
[tex]\beta = 103^o[/tex]
Find the sin P rounded to the nearest hundredth
Answers
Answer:
SOH-CAH-TOA
[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°
SOH = SIN = OPP/HYP
SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]
Step-by-step explanation:
1/t=1/g+1/v make g the subject
Answers
Answer:
g = vt/(v - t)Step-by-step explanation:
See the solution in steps:
1/t = 1/g + 1/v1/g = 1/t - 1/v1/g = (v - t)/(vt)g = vt/(v - t)HELPPPPP PLEASEEEEEES ASAP
At the beginning of year 1 Jonah invests $300 at an annual compound interest rate of 4%. He makes no deposits to or withdrawals from the account Which explicit formula can be used to find the account's balance at the beginning of year 6?
Answers
Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $2$ pineapples at $\$4$ each, $2$ bags of flour at $\$5$ each, and a giant $\$7$ container of ice cream. This week the store has a sale and pineapples are half price. Judy also has a coupon for $\$5$ off any order of $\$25$ or over. How much money does Judy spend on this shopping trip
Answers
Answer:
She spends $30 in total.
Step-by-step explanation:
Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:
Every week Judy buys:
5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.
3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.
2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.
2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.
1 giant container of ice cream, she spends $7 on it.
So the total money that she speends is:
$5 + $9 + $4 + $10 + $7 = $35
And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.
So she will spend a total of $35 - $5 = $30
She spends $30 in total.
What is the value of a? Round to the nearest tenth.
Answers
Answer:
50 percent?
Step-by-step explanation:
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,and 30cm. find cost of required to make umbrella at rate of 5paisa per square cm
Answers
Answer:
Step-by-step explanation:
first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm
a = 48
b= 30
Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]
= 1/2*30√( 48² - 1/4×30²)
=1/2*30√ (2304 -225)
=684sq cm
cost required to make umbrella= 10*684*5
= 34200
