Are these triangles congruent? If so, name the triangle congruence method.

Answer:

The center of the circle is the point (6,3)

Answer:

28

Step-by-step explanation:

36 - 8 = 28

Answer:

112

Step-by-step explanation:

36-8= 28. then 28 x 4 = 112 candies total

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Answer:

$976.90

Step-by-step explanation:

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0,7660 = adjacent / 4

adjacent = 4 x 0.7660 = 3.06 in

Length = area / base

20 / 3.06 = 6.54 in

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Answer:

2) Acute triangle, isosceles

3) Both are 65 degrees

4) (diagram)

5) a) both 25 degrees

b) midpoint

Step-by-step explanation:

2) If you're struggling search up "draw a triangle" and you'll find a website that will draw it for you. It will help you get an idea of it looks like and its nature.

3) We know that sides AB and AC are 5cm. So this triangle is an isosceles which makes the 2 remaining angles equal (if you draw a diagram it will be clear)

So:

180-50/2 = 65

ABC and ACB = 65 degrees each

4) Construct the line AH down the middle like in the diagram I drew.

5) a) Since AH is a straight line, we know that the angle AHB will be 90 degrees. After question 3 we also know that angle ABH is 65 degrees.

BAH = 180-90-65

BAH = 25 degrees

CAH = 50 - 25

CAH = 25 degrees

b) AH is the midpoint for BAC because the 2 segments formed are both 25 degrees.

Answer:

C) 25

Step-by-step explanation:

A square has all four sides equal.

5x = 10x - 25

-5x = -25

x = 5

Now put 5 in for x, and you get the answer is 25

Step-by-step explanation:

Double t

t+t=2t

Subtract v

2t-v

Subtract u

2t-v-u

y = 6x  + 1 is the line of the equation which has a gradient of 6 and passes through the point (3, 19)

What is a gradient?

A straight line's steepness can be determined by looking at its gradient. A line's gradient does not have to be a whole integer and might be positive or negative. A line's gradient can either be uphill (positive value) or downward (negative value).

Here, we have

Equation of line

y = mx  + c

m = Slope of line = Gradient  = 6

= y = 6x + c

a line passes through (3, 19)

so, we find the value of c

= 19 = 6(3)  + c

= c = 1

Now, we put the value of c in the equation and we get

= y = 6x  + 1

Hence,y = 6x  + 1 is the line of the equation which has a gradient of 6 and passes through the point (3  19)

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Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

Answer:

The value of the expression is -332.

Step-by-step explanation:

We are given the following function:

\(h(x) = x^2 - 5x + 7\)

We have to solve the following expression:

\(1 - 3h(-8)\)

The numeric value at x = -8 is:

\(h(-8) = (-8)^2 - 5(-8) + 7 = 64 + 40 + 7 = 111\)

The expression is:

\(1 - 3h(-8) = 1 - 3(111) = 1 - 333 = -332\)

The value of the expression is -332.

Step-by-step explanation:

Area of rectangle =L×W

Width =Area

\(w idth= \frac{area \ }{length} \\ \\width = \frac{ {y}^{2} + 4y - 45}{y + 9} \\ \\ = \frac{(y - 5)(y + 9)}{(y + 9)} \\ \\ width = y - 5\)

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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Answer:

x = -1

Step-by-step explanation:

3x - 15 = -18

Add 15 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Answer:

X=-1

Step-by-step explanation:

3x-15=-18

    +15  +15

3x=-3

x=-1

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

2r3

Step-by-step explanation:

15÷6

6 can go into 15 two times without going over the number 15. 6 times 2 is 12. So 15-12 = 3 so 2r3 or 5/2 or 2.5 or 2 1/2

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

Answer:

12.5

Step-by-step explanation:

Answer:

248.26 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of cuboid + surface area of hemisphere) - 2(base area of hemisphere)

Surface area of cuboid = \( 2(lw + lh + hw) \)

Where,

l = 10 cm

w = 5 cm

h = 4 cm

Plug in the values into the formula:

\( SA = 2(10*5 + 10*4 + 4*5) \)

\( SA = 2(50 + 40 + 20) \)

\( SA = 2(110) = 220 cm^2 \)

Surface area of hemisphere = 3πr²

Where,

π = 3.14

r = 3 cm

SA of hemisphere = 3*3.14*3² = 3*3.14*9 = 84.78 cm²

Base area of hemisphere = πr²

BA = 3.14*3² = 3.14*9 = 28.26 cm²

Surface area of the composite shape = (220 + 84.78) - 2(28.26)

= 304.78 - 56.52

SA = 248.26 cm²

Answer:

in geometry nation, is circle, isosceles triangle and parabola.

Step-by-step explanation:

just did it.

Answer:

Multiplicative inverse property

Step-by-step explanation:

Multiplicative inverse property states that

For example

A number 4

Reciprocal=1/4

Product

Verified

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

Inverse Property of Multiplication

The product of a number and its reciprocal is always 1.

The reciprocal of a number is 1 divided by the number.

Therefore, the reciprocal of a rational number is its inverse (swap the numerator and denominator).

For example:

\(\textsf{The reciprocal of 6 is}\:\:\sf \dfrac{1}{6}\)

\(\implies \sf 6 \times \dfrac{1}{6}=\dfrac{6 \times 1}{6}=\dfrac{\diagup\!\!\!\!6 \times 1}{\diagup\!\!\!\!6}=1\)

\(\sf \textsf{The reciprocal of }\:\dfrac{3}{4} \sf \:\:is\:\:\sf \dfrac{4}{3}\)

\(\sf \implies \dfrac{3}{4} \times \dfrac{4}{3}=\dfrac{3 \times 4}{4 \times 3}=\dfrac{12}{12}=1\)

Answer:

$5.97

Step-by-step explanation:

Answer:

$5.97

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

n= -80

Step-by-step explanation:

Hope this helps! ;-)

Answer:

\(\huge\boxed{\sf n = -20}\)

Step-by-step explanation:

Given Equation:

\(n=5(2k^2+2k-6)\)

Put k = -2

\(n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}\)