Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answer:

Step-by-step explanation:

Answer:

Y = 2/3x-8/3

Step-by-step explanation:

y − 4 = 2/3 ( x − 3)

y − 4 = 2/3x -2

y  = 2/3x +2

~~~~~~~~~~~~~~~~~

-2 = 2/3(1) + b

b = -2 2/3 = -8/3

Answer:

C. ΔJKL, in which m∠J = 15° and m∠L = 45°

Step-by-step explanation:

To solve, let's find the missing angle of the triangle:

180 - 120 - 15 = 45°

That means a solution should have at least 2 solutions from the solution set (15 , 45, 120)

C, is the correct choice.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

"C"

Step-by-step explanation:

Similar triangles have all the same corresponding angles, and the total must add to 180 degrees. So the original triangle has angle 1 = 15, 2 = 120, so 3 = 180 - (15 + 120) = 45.

Option C has the same angles.

Answer:

Step 1: Put the numbers in order.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: Find the median.

1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: Place parentheses around the numbers above and below the median.

Not necessary statistically, but it makes Q1 and Q3 easier to spot.

(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.

Step 5: Subtract Q1 from Q3 to find the interquartile range.

18 – 5 = 13.

Step-by-step explanation:

Answer:

the answer to this is 2048

Step-by-step explanation:

Answer:  B

Step-by-step explanation: Just round

Answer:

(-7, 8) across the x-axis: (-7, -8)

(-7, 8) across the y-axis: (7, 8)

Step-by-step explanation:

Answer:

49/87 = .56 = 56%

Step-by-step explanation:

Answer:

56%

Step-by-step explanation:

Answer:

RM =20

Step-by-step explanation:

Find the diagram of the parallelogram attached

From the diagram, GP = PA

8x = 2x+18

8x - 2x = 18

6x = 18

x = 18/6

x = 3

Since RM = 2RP

RM = 2(x+7)

RM = 2(3+7)

RM = 2(10)

RM =20

Hence the length of RM is 20

Answer:

185×30÷100=55.5

HERES YOUR answer

Answer:

the male weigh than the female

Step-by-step explanation:

[tex]\frac{19}{6}[/tex]=[tex]3\frac{1}{6}[/tex]

the annual premium for a Whole Life insurance police is  $2,881.61. Option A.

For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.

The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.

Annual premium =  $162,253/ 1000 x 17.76

= $2,881.61

The above exercises is from the question provided in the picture;

You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.

                                            Permanent Insurance

Age               Whole Life        20-Payment Life       20-Year Endowment

                     M           F                 M              F                M              F

25              $16.38    $14.38        $28.40    $25.04      $37.02     $34.87

26              $16.91     $14.77          29.11        25.96        37.67       35.30

27              $17.27     15.23           29.97       26.83        38.23      35.96

28              17.76       15.66           30.68      27.54         38.96       36.44

a. $2,881.61

c. $6,321.38

b. $4,977.92

d. $6,438.20

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Answer:

use similarity to solve this

so the shape of side x is similar to side

x/6=10/8

8x=10 multiply by 6

8x=60

divide 60 by 8 to get 7.5

so x=7=5

using Pythagorean theorem

side RP=RS squared + SP squared

side RS=7=5

7.5squared =56.25

4.0+8.0=12

12squared=144

56.25+144=200.25

square root of 200.25=14.15

14.15=y+10

y=14.15-10

y=4.15

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

Answer:

two

Step-by-step explanation:

The number of solutions is the number of times the graphs intersect.

The line and the parabola intersect two times, so there are two solutions

Answer:

[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]

Answer:

Answer B as the difference between the values is the same

Answer:

Q1 : Ruppell's Giffrons

Q2 :

sperm whales

dolphins

missing birds

Ruppell's Giffrons

Step-by-step explanation:

I don't know if I can see the full picture, as it is clearly cut off.

my answers are based on what I can see :

Giffrons, migrating birds, dolphin and sperm whale.

here are the reasons for my 2 answers :

sea level = elevation of 0 ft. so, this is "point" 0.

Q1 now asks about what of the listed animals can move the farthest away from 0.

and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.

so, we are looking for the animal with the largest absolute value of elevation it can reach.

and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.

Q2 wants us to sort the animals based on their reachable elevations.

by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.

and remember, negative values get actually larger in their absolute values, when we make them smaller.

-2 is smaller than -1.

therefore, the animal that can get the lowest of all here is the sperm whale.

then comes the dolphin.

then the migration birds.

and then the Ruppell's Giffrons.

The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.

The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.

In terms of elevations from least to greatest, the order would be:

Blue Whale - Lives in the ocean at sea level

Mountain Lion - Found in various habitats including mountains and plains

Mountain Goat - Lives in mountainous regions

Brown Spider Monkey - Found in the tropical rainforests at high elevations

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A function assigns the values. The correct option is C.

A function assigns the value of each element of one set to the other specific element of another set.

The function rule that represents the best line of fit for the data in the plot is option C.

A) f(x)= x+8

Since the line has a positive slope this can not be the appropriate option.

B.) f(x) = -2x+14

Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.

D.) f(x) = 10

Since this is a straight horizontal line at y=1. This is not the appropriate option.

Hence, the correct option is C.

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Answer:

When you reflect over the x axis, you change all the y values to their opposites (switch the sign)

Step-by-step explanation:

Answer:

[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]

The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).

A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².

The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:

x² = -20y

x² / (-20) = y

x² / (-20) + 0 = y + 0

(x - 0)² = -20(y - 0)

Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.

Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).

Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).

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Answer:

Step-by-step explanation:

Answer:

a=2

b=10.5

c=4

d=17.5

Step-by-step explanation:

so 3.5 miles per hour and the columns are miles and then hours

so an equation can be 3.5 (mi/hr) * t (time) = distance

so for a): 3.5*t=7

t=2

b) 3.5*3=distance

distance is 10.5

c) 3.5*t=14

t=4

d) 3.5*5=d

d= 17.5

Multiply the amount she pays a month by number of months in a year:

11,000 x 12 = 132,000

Subtract the total amount she pays back by the loan amount:

132,000 - 120,000 = 12,000

The interest was $12,000

Answer:

C

Step-by-step explanation:

Answer:

C: Yes, the terms can be regrouped and still be equivalent.

Step-by-step explanation:

Most terms can be regrouped and still be equivalent.

Answer:

1) 45 minutes

2) they meet in 20 minutes

3) (12-6)/(20/60)=18kmh

f(g(7)) = 20

Hope it helps you...

[tex]\longrightarrow{\green{c. \: {x}^{2} + 3x - 18 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](x - 3)(x + 6)[/tex]

➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]

➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]

➼ [tex] \: {x}^{2} +3x - 18[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

x-8

Step-by-step explanation:

since we dont know how much gas is in the tank, lets make that X.

and since we subtract 8 gallons from how much is in the tank, we make that X-8

Answer:

Inequality:

x < 8

The Graph Would be the Hallow Dot on the 8,  then it would go the left way.

Answer:

[tex]Y= -3x+2[/tex]

Step-by-step explanation:

Slope : [tex] - 3[/tex]

y-intercept = 2