Answers
Answer:
67 degrees
Step-by-step explanation:
alternate exterior angles are always congruent
Answer:
The value of y is 67°.
Step-by-step explanation:
Here, given that;
BD is parallel to XY. let EF be a transversal line meeting BD at O and XY at P.
now, angle XQF = 67°
now, angle XQF + angle YQF=180° (being linear pair)
or, 67°+angle YQF =180°
or, angle YQF=180°-67°
therefore angle YQF = 113°.
now, angle YQF + angle PQY=180° (being linear pair).
now, 113°+angle PQY = 180°.
or, angle PQY = 180°-113°.
therefore, angle PQY =67°.
again, angle EPD= angle PQY (being corresponding angles).
or, y°= 67°.
Therefore the value of y is 67°.
hope it helps...
Related Questions
find the solutions of x and y.
Answers
Answer:
x = 15, y = 4
Step-by-step explanation:
By Basic proportionality theorem, we have:
x/ 5 = 18/6
x = (18*5)/6
x = 90/6
x = 15
Again By Basic proportionality theorem, we have:
12/y = 18/6
y = (12*6)/18
y = 72/18
y = 4
use the cross product property to solve the proportion
5/r = 9/10
Answers
Answer:
[tex]5.\overline{55}[/tex] or [tex]5\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]\frac{5}{r} =\frac{9}{10}[/tex]
We multiply the cross values of 5 and 10
5 × 10 = 50
Now we divide by the remaining number, 9
[tex]50 \div 9 = 5.555555...[/tex]
So, r = [tex]5.\overline{55}[/tex]
As a fraction, this is [tex]5\frac{5}{9}[/tex]
Hope this helped!
Answer:
5 5/9 = r
Step-by-step explanation:
5/r = 9/10
Using cross products
5 * 10 = 9 * r
50 = 9r
Divide by 9
50/9 = r
5 5/9 = r
What is an equivalent equation for 3 x = 12 minus 4 y when solved for x? X = 4 minus four-thirds y x = 4 + four-thirds y x = negative 4 + four-thirds y x = negative 4 minus four-thirds y
Answers
Answer:
[tex]x = 4 - \frac{4}{3}y[/tex]
Step-by-step explanation:
If we have the equation [tex]3x = 12-4y[/tex], we can simplify this equation down.
Divide both sides by 3:
[tex]x = 4 - \frac{4}{3}y[/tex] .
Hope this helped!
Answer:
X = 4 minus four-thirds y
Step-by-step explanation:
Well to solve for x we single it out.
3x = 12 - 4y
Divide 3 by everything,
x = 4 - 4/3y
Thus,
X = 4 minus four-thirds y.
I do hope this helps :)
Please help, ty if you do
Answers
Answer:
C
Step-by-step explanation:
4,800 times 7% is 336, and 1200 times 14% is 168, and 168 is half as much as 336, so the correct answer is c
Answer:
C
Step-by-step explanation:
Multiply .7 to 6000 and solve
if paul and Steve are the same height and they are both correct write and equationto represent this relationship put puals expresiion on the left side of the equal sign and steves expression on the right
Answers
Answer:
Paul=Steve
Step-by-step explanation:
Answer:
The expression that represents Paul’s height in inches is 3/4t - 16. The expression that represents Steve’s height in inches is 4/3t - 6. Paul and Steve are the same height, so the equation that represents this relationship is
3/2t - 16 = 4/3t - 6
( PLATO/EDMENTUM ANSWER)
Someone help quick!!!
The diagram shows several points and lines. Which statements are true based on the diagram? Select two options.
A. Points K, M, and N are collinear
B. Points J, K, and Q are collinear
C. Points are is the intersection of the line KN and the line MQ
D. Find JQ, KM, and MQ all
intersect at point K
E. There is only one line that can be drawn through points L and P
Answers
Answer:
B, E
Step-by-step explanation:
J, K, Q are all on the same line: collinear
You can draw only one line through L and P
Answer:
b,e
Step-by-step explanation:
e2020
Write the equation of the line that is perpendicular to the line 5y=x−5 through the point (-1,0).
Answers
Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
513 to the nearest 100
Answers
Answer:
500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
Which of the following is a like radical to 3x sqrt 5
Answers
Answer:
The last option
Step-by-step explanation:
Source: Trust bro
Answer:
d) y sqrt 5
Step-by-step explanation:
radicals are like if they have the same index and radicand, here they are both square roots and have a radicand of five
Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996
Answers
Answer:
Option D.
Step-by-step explanation:
Sten thinks of a number and gives his friends some clues about it.
"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."
Number Nearest ten Nearest Hundred Nearest thousand
A. 735,619 735,620 735,600 736,000
B. 423,006 423,010 423,000 423,000
C.958,598 958,600 958,600 959,000
D.517,996 518,000 518,000 518,000
The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.
Therefore, the correct option is D.
What will be the sign of the product if we multiply together 199 negative and 10 positive integers?
Answers
in positive values there are whatever numbers, they will always be positive.
in question given that multiplication of 199 negative integers. that will give negative value because 199 is an odd number.
and then multiply by 10 positive integers which give positive value.
so overall value will be negative.
I need you to answer ASAP
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equatic
It is (189)
It is (9, 18)
There are infinitely many solutions
There is no solution
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
2x + 2y = 18
x + y = 9
multiply Line M equation by -2 to eliminate at least one variable:
2x + 2y = 18
-2x - 2y = -18
use elimination:
2x + 2y = 18
-2x - 2y = -18
__________
0 + 0 = 0
since this statement is true, there are infinitely many solutions.
A circle has a radius of sqrt 45 units and is centered at -2.4, -4.8 write the equation of the circle
Answers
Answer:
(x+2.4)^2+(y+4.8)^2=2025
If you'd like additional help with math or another subject, check out growthinyouth.org!
Step-by-step explanation:
Please help me with this question ASAP!
Answers
Answer:
The fourthStep-by-step explanation:
[tex]x^2+y^2-14x+10y+25=0\\\\x^2-14x\ +\ y^2+10y+25=0\\\\\underline{x^2-14x+49} -49+\underline{y^2+10y+25}=0\\\\\underline{x^2-2\cdot x\cdot7+7^2}-49+\underline{y^2+2\cdot y\cdot5+5^2}=0 \\\\\underline{(x-7)^2}-49+\underline{(y+5)^2}=0\\\\\underline{\underline{(x-7)^2+(y+5)^2=49}}[/tex]
Hi, I don't know how to do these, if you could help me answer them, that would be great
Answers
Answer:
137°Step-by-step explanation:
From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°
From the diagram, mAB = 43°. Substituting this value into the above equation;
mAB + mAD = 180°
43° + mAD = 180°
mAD = 180°-43°
mAD = 137°
Hence, the measure of angle mAD is 137°
Factor 2x2+5x+2 please
Answers
Answer:
Step 1: 4
Step 2: 4 and 1
Step 3: 2x² + 4x + x + 2
Step 4: (2x² + 4x) + (x + 2)
Step 5: 2x(x + 2) + 1(x + 2)
Step 6: (x + 2)(2x + 1)
Step-by-step explanation:
which expression is equal to 5/ square root 11 ?
Answers
Answer:
5√11 ÷ 11 (The very last choice)
Step-by-step explanation:
I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.
What is the equation of the circle shown below?
Answers
Answer:
( x+2)^2 + ( y+2) ^2 = 9
Step-by-step explanation:
The center is at (-2,-2)
The radius is 3 which is the number of units from the center to the circles edge
The equation of a circle can be written as
( x-h) ^2 + (y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
( x--2) ^2 + (y--2) ^2 = 3^2
( x+2)^2 + ( y+2) ^2 = 9
Simplify this problem. |3r−15| if r<5
Answers
Answer:
We have the problem:
|3r−15| if r<5
First we see the equality, if r = 5 we have:
I3r - 15I = I3*5 - 15I = I0I = 0.
Then the only restriction that we have is:
I3r - 15I > 0.
now, we could simplify it a bit further:
if r < 5, then the thing inside the absolute value will always be negative:
Then we can write:
I3*r - 15I = -(3*r -15) > 0
multiplying by -1 in both sides
(3r - 15) < 0.
if we keep simplifying this, we will get our initial restriction:
3r - 15 < 0
3r < 15
r < 15/3 = 5
r < 5
find the center of the circle (x-2)^2+(y-8)^2=33
Answers
Answer:
The center is (2,8)
Step-by-step explanation:
The equation of a circle is written as
(x-h)^2+ (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
(x-2)^2+(y-8)^2=33
The center is (2,8) and the radius is sqrt(33)
Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.
Answers
Incomplete question. However, let's assume this are feasible regions to consider:
Points:
- (0, 100)
- (0, 125)
- (0, 325)
- (1, 200)
Answer:
Maximum value occurs at 325 at the point (0, 325)
Step-by-step explanation:
Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.
- For point (0, 100): P= 2(0) + 1.5 (100) =150
- For point (0, 125): P= 2(0) + 1.5 (125) =187.5
For point (0, 325): P= 2(0) + 1.5 (325) = 487.5
For point (1, 200): P= 2(1) + 1.5 (200) = 302
Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.
My initial deposit is $100. Every year my account total increases by 5% What is the total percent increase after 5 years?
Answers
Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.
[tex](1.05)^5=1.27628...[/tex]
Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).
Which expression is equal to 5(2x^2-1)+3(7x^2+1)
Answers
Answer:
31x² - 2
Step-by-step explanation:
5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2
ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answers
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
URGENT
What else would need to be congruent to show that AABC= ADEF by the
AAS theorem?
Answers
Answer:
AC = EF
Step-by-step explanation:
ABC = DEF
You would need to know that AC = EF
In the first place, using deduction we know that we dont need another angle. We also know that BC does not equal DF by looking at the angles on the triangles.
The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.
What is AAS theorem?The angle-angle-side theorem, or AAS, tells us that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.
here, we have,
to find congruency in a triangle:
ΔABC ≅ ΔDEF
Therefore,
AAS congruence rule or theorem states that if two angles of a triangle with a non-included side are equal to the corresponding angles and non-included side of the other triangle, they are considered to be congruent.
Therefore,
∠C ≅ ∠F
Hence, The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.
learn more on AAS here:
brainly.com/question/2699309
#SPJ7
ABC is a triangle in which DE ∥BC. Find ∠A
Answers
Answer:
∠A = 35°
Step-by-step explanation:
From the question above,
Sum of Angles on a straight line = 180°
180° = ∠BDE + ∠ADE
∠BDE = 105°
∠ADE = 180° - 105°
∠ADE = 75°
To find Angle ∠EBC and ∠DEB are alternate angles, this means that they are equal to each other
Hence, ∠EBC = ∠DEB
30° = 30°
Sum of Angles on a straight line = 180°
180° = ∠DEB + ∠BEC + ∠DEA
180° = 30° + 80° + ∠DEA
∠DEA = 180° -(30+ 80)°
∠DEA = 180° - 110°
∠DEA = 70°
It is important to note that the sum of Angles in a triangle = 180°
180° = ∠ADE + ∠DEA + ∠A
∠ADE = 75°
∠DEA = 70°
180° = 75° + 70° + ∠A
∠A = 180° - (75° + 70°)
∠A = 180° - 145°
∠A = 35°
A certain family can afford a monthly mortgage payment of $1,340.00. With an APR of 5.25% per annum, what is the maximum mortgage amount they can afford if they prefer a 20-year amortization period?
Answers
Answer:
$198,859.03
Step-by-step explanation:
The amortization formula is good for this. Fill in the given numbers and solve for the unknown.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P
P ≈ 1340/0.00673844 ≈ $198,859.03
The family can afford a loan for $198,859.
Please answer ASAP will mark brainliest if correct
Answers
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
Any side of a triangle must be shorter than the other two sides added togetherAssume the sides are equal to 3 smallest odd numbers: 1,3 and 5
Then 1+3< 5 and it is against the above rule, so this is not correctThe next triple is: 3, 5 and 7
Then 3+ 5 > 7 and it is correctSo 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)
Answers
Answer:
Step-by-step explanation:
P = efe =4.8
f =0.26
substitute the value of P and f into the equation to obtain the value of e
4.8 = e*0.26*e
4.8 = 0.26*e^2
make e^2 the subject of the formula
e^2 =4.8/0.26 =18.62
find the square root of e
e =[tex]\sqrt{x} 18.46\\[/tex]
e = 4.3
Lower bound of P = 4.8 - 4.79 = 0.01
Kickboxing it's found the force needed to break a board varies inversely with the length of the board it takes 9 pounds of pressure to break a board that is 3 feet long how long is the board that requires 5 pounds of pressure to break
Answers
Answer:
If f=5 pounds of pressure, l=5.4 feet long
Step-by-step explanation:
Force needed to break a board varies inversely with the length of the board
Let
Force to break the board=f
Length of the board=l
f=k/l
Where k is a constant
If f=9 pounds of pressure and l=3 feet long
f=k/l
9=k/3
Cross product
9*3=k
27=k
If k=27, f=5 pounds of pressure. Find l?
f=k/l
5=27/l
Cross product
5l=27
l=27/5
=5.4
l=5.4 feet long
Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.
Proportions:This question is solved by proportions, using a rule of three.It takes 9 pounds to break a board that is 3 feet long, what is the length of a board that takes 5 pounds?The rule of three is:
9 pounds - 3 feet
5 pounds - x feet
Applying cross multiplication:
[tex]9x = 3(5)[/tex]
[tex]x = \frac{15}{9}[/tex]
[tex]x = 1.67[/tex]
The board that requires 5 pounds of pressure to break is 1.67 inches long.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153