Point O is on line RS. Find the
measure of angle SOP.
Solution:​

Answer:

x<-11/2

Step-by-step explanation

Try to isolate the variable by dividing it.

Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .

Step-by-step explanation:

The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

The translation is given as:

(x,y) -> (x+1,y+2)

The point Q is located at

(-4,4)

So, the image would be:

(x,y) -> (-4+1,4+2)

Evaluate

(x,y) -> (-3,6)

Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

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Answer:

she sold 20 pretzels 340/17 =20

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

If Amanda, Ben and Carlos share a sum of money in the portions of 1:2:7, that means that the minimum value is $20. So times 20 by the other probabilities and add them together.

Answer:$200

Step-by-step explanation:

20÷1=20

20×2=40

20×7=140

140+40+20=200.

Answer:

  (x – 4)^2 + (y – 3)^2 = 8

Step-by-step explanation:

The square of the diameter will be 4 times the square of the radius. The square of the diameter is the sum of squares of differences of coordinates of P and Q:

  d^2 = |PQ|^2 = (2 -6)^2 +(1 -5)^2 = 16 +16

  d^2 = 32

  4r^2 = 32 . . . . . substitute 4r^2 for d^2

  r^2 = 8 . . . . . . . divide by 4 to find r^2

The equation of a circle centered on (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The given equation tells us the center is (h, k) = (4, 3), so we need only fill in the value of r^2.

  (x -4)^2 +(y -3)^2 = 8

Answer:

d

Step-by-step explanation:

Answer: of the first one 0 , -3, -6. Second 14, 18, 22

Step-by-step explanation:

Answer:

a circle with a  diameter  of 16 meters  largest

a circle with a  circumference of 37.68 meters

a circle with a  radius of  7 meters

a circle with a  diameter of 8 meters

Step-by-step explanation:

a circle with a  diameter of 8 meters

The radius is 8/2 = 4

A = pi r^2 = 3.14 * 4^2 = 50.24 m^2

a circle with a  radius of  7 meters

A = pi r^2 = 3.14 * 7^2 = 153.86 m^2

a circle with a  circumference of 37.68 meters

C = 2*pi*r

37.68 = 6.28r  r =6

A = 3.14 (6)^2 =113.04

a circle with a  diameter  of 16 meters

r = d/2 = 8m

A = pi r^2 = 3.14 (8)^2 = 200.96 m^2

Answer:

a circle with a diameter of 16 meters

a circle with a radius of 7 meters

a circle with a circumference of 37.68 meters

a circle with a diameter of 8 meters

Step-by-step explanation:

a circle with a

diameter of

8 meters

A = pi × (8/2)² = 16pi

a circle with a

radius of

7 meters

A = pi × 7² = 49pi

a circle with a

circumference

of 37.68 meters

C = 2pi × r

37.68 = 2pi × r

r = 18.84/3.14 = 6

A = pi × 6² = 36pi

a circle with a

diameter

of 16 meters

A = pi × (16/2)² = 64pi

Answer:

125

Step-by-step explanation:

i had this question and it said it was right so..

Answer:

The First option) Anthony is trying to appeal to women, men, and lawmakers.

Step-by-step explanation:

Just took the assignment.

Good luck with the rest!

Answer:

That should be right

Step-by-step explanation:

The domain of f(x) = (1/6)x + 2 is all real numbers, and the range is also all real numbers.

The given function is f(x) = (1/6)x + 2.

The domain of a function is the set of all possible input values. In this case, since there are no restrictions on x, the domain is all real numbers.

The range of a function is the set of all possible output values. The function is a linear function with a positive slope, which means as x increases, f(x) also increases. Therefore, the range is also all real numbers.

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Answer:

Given question is incomplete; here is the complete question.

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y = –1/3x + 5

y = –1/3x + 3

y = 3x + 2

y = 3x − 5

Line given in the graph passes through the points (-3, 2) and (0, 1).

Slope of the given line =

                                 m =

                                 m =

Let the equation of a line perpendicular to this line is,

y - y' = m'(x - x') [Given line passes through (x', y')]

By the property of perpendicular lines,

m × m' = -1

() × m' = -1

m' = 3

Equation of the perpendicular line will be,

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Option (4) will be the answer.

Step-by-step explanation:

The Equation whose solution is (4, 3) is y = 2x - 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

we have to put x= 4 and y= 3 in each equation.

1. y= 2x- 1

2x- 1 = 2(4)- 1 = 8- 1 = 7

y = 3

2. y = 3x - 4

3x - 4= 3(4) - 4 = 8

y= 3

3. y = 2x - 5

2x- 5 = 2(4) - 5 = 3

y= 3

4. y = x+ 3

x+ 3 = 4 + 3 = 7

y= 3

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Answer:

3(6)(4) = 72 cm

Step-by-step explanation:

The volume of a rectangular prism = Length * Width * Height

Substitute your values into the equation and solve for V

V = 3 * 6 * 4

V = 72 [tex]cm^{2}[/tex]

Answer:

d.72

Step-by-step explanation:

volume = area of base *height = 4*3  * 6

Answer:

they have the same slope.

Answer:

8

Step-by-step explanation:

72/s

Let s=9

72/9 = 8

Answer:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

Step-by-step explanation:

Answer:

TestTest

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Test

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Test

Test

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Step-by-step explanation:

Test

Test

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Test

Albert's estimate of 180 nails is much too high since the actual calculation shows that he only needs 114 nails for the table and four chairs.

To determine if Albert's estimate of needing roughly 180 nails for building a table and 4 chairs is correct, we should calculate the total number of nails required for this project. For each chair, he will need 18 nails, and for the table, he will need 42 nails.

Therefore, the total number of nails needed for the chairs is:

And the number of nails needed for the table is:

Adding these together gives us:

Comparing this with Albert's estimate of 180 nails, we can see that his estimate is much too high.

Answer:

98.00 Dollars

Step-by-step explanation:

7 x 7=49 square yards

49 x 2.00 = 98.00

Answer:

First find the area

7 x 7 = 49

every yard is $2

49 x 2 = 98

$98

Step-by-step explanation:

Answer:

The kangaroo hopped a total of 5 miles to the lake.

Explanation:

To convert yards to miles, we can use the conversion factor that 1 mile is equal to 1760 yards.

So, to find out how many miles the kangaroo hopped to the lake, we first sum the distance with and without the baby in her pouch:

Total distance = Distance with baby + Distance without baby

Total distance = 3520 yards + 5280 yards

Total distance = 8800 yards

Now, we convert this total distance to miles:

Total distance in miles = Total distance in yards / 1760 yards/mile

Total distance in miles = 8800 yards / 1760 yards/mile

Total distance in miles = 5 miles

Therefore, the kangaroo hopped a total of 5 miles to the lake.

Final answer:

The median value of the car counts recorded by Maria and Jeff is calculated by first ordering the data and then finding the average of the two middle numbers, leading to a median of 69 cars passing through the intersection.

Explanation:

The median is a measure of central tendency which is used when the data set has outliers or is not symmetrically distributed. To calculate the median of Maria and Jeff's data which includes the number of cars that pass through an intersection, we first need to arrange the data set in ascending order: 56, 63, 64, 67, 71, 75, 78, and 158. Since there are eight numbers, we take the average of the two middle numbers (67 and 71).

To find the median, we add 67 and 71 to get 138 and then divide by 2, which results in a median of 69 cars. Thus, according to Maria's method, on average, a typical number of cars that would pass through the intersection on a Monday morning would be 69.

Answer:

see attachement

Step-by-step explanation:

Answer:

The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.

Answer:

ok so for a ≤ 20 it is A is less than or equal to 20

a ≥ 25 is A is greater than or equal to 25

Step-by-step explanation:

whenever you have a symbol like ≥, where it has a line under it, it means it could be equal to. And when the symbol is like a<20 (where < is the alligator it eats the bigger number so 20 is larger) And this means a is less than but since there is ≥ then its Equal to as well. :) sorry if this is confusing i will be willing to further explain if needed.

Answer:

13.8564

Step-by-step explanation:

The square root of 192 is about 13.8564 meaning that 13.8564^2≈192

Answer:

B -13.86, 13.86

Step-by-step explanation:

Edge

ANSWER:V≈2148.85.I hope this helps!!

The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.

The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us

[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].

This ratio is consistent throughout the sequence as each subsequent term is  rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.

Answer:

-30 (2w + 3) is the only one I can figure out.

I hope this helped tho!! :]

9514 1404 393

Answer:

  14°

Step-by-step explanation:

∠ADP is an external angle to ΔDBP, so ...

  ∠ADP = ∠DBP + ∠DPB

  107° = 45° + ∠DPB

  ∠DPB = 107° -45° = 62°

∠DPB is an external angle to isosceles triangle PBC, so ...

  ∠DPB = 2×∠PBC

  62° = 2×∠PBC

  ∠PBC = 62°/2 = 31°

Of course, the angle sum theorem applies at vertex B, so ...

  ∠ABC = ∠ABP +∠PBC

  ∠ABC = 45° +31° = 76°

AP is the angle bisector of angle A, so, if extended to BC would be perpendicular to BC. Then ∠BAP is complementary to ∠ABC:

  ∠BAP = 90° -∠ABC

  ∠BAP = 90° -76°

  ∠BAP = 14°

Final answer:

m∠BAP = 124°

Explanation:

Given that △ABC is an isosceles triangle with AC = AB and DB = EC, we can conclude that △ADC and △AEB are congruent triangles by the Side-Angle-Side (SAS) congruence theorem. Therefore, m∠ADC = m∠AEB. Since m∠ADC = 107° and m∠AEB = 45°, we can write:

m∠ADC = m∠AEB

107° = 45° + m∠ABD

m∠ABD = 107° - 45°

m∠ABD = 62°

Since △ABD is isosceles with AB = AD, we have m∠ABD = m∠ADB. Therefore, m∠ADB = 62°. Since m∠BAP is an exterior angle of △ABD, we can apply the Exterior Angle Theorem to find:

m∠BAP = m∠ADB + m∠ABD

m∠BAP = 62° + 62°

m∠BAP = 124°