which of the following angle relationships are correct?

Answer:

The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.

Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.

Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)

x= 180-105 = 75°

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Answer: x = 72

Step-by-step explanation:

The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y

a + y + y = 180 (sum of angles in triangles)

58 + 2y = 180

Subtract 58 from both sides

2y = 122

Divide both sides by 2

y = 61°

In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.

b = 47°

y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.

y + b + x = 180

61 + 47 + x = 180

108 + x = 180

Subtract both sides by 108

x = 72

Answer:

g = 1 1/8

Step-by-step explanation:

g/(3/4) = 1 1/2

g = 1 1/2(3/4) = 1 1/8

Answer:

32

Step-by-step explanation:

180-116=64

64÷2=32

Answer:

[tex]y=\frac{1}{2}x+3[/tex]

Step-by-step explanation:

Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.

If I helped, a brainliest answer would be greatly appreciated!

Answer:

a,e and b

Step-by-step explanation:

Answer:

A e and b

Step-by-step explanation:

Answer: 60 campers = 8 counselors

90 campers = 12 counselors

180 campers = 24 counselors

Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

[tex]x^2+y^2-2x-8=0[/tex]

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

[tex](x^2-2x)+(y^2)=8[/tex]

And complete the square for the first term:

[tex](x^2-2x+1)+(y^2)=8+1[/tex]

Factor and simplify:

[tex](x-1)^2+y^2=9[/tex]

We can rewrite our equation as:

[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

i got it right on edg if right mark as brainliest

Answer:

Ken class has a median of 84 while Judy class a median of 87

Step-by-step explanation:

Ken class has a median of 84 while Judy class a median of 87

Kens class has a mean score of 83, and Judy's class has a mean score of 86.43(rounded) so, judging by the mean, Judy's class is smarter. If we take a look at the median, (Ken: 84, and Judy: 87) then Judy's class is smarter. So, overall Judy's class is smarter than Ken's class.

Answer:

x>0

Step-by-step explanation:

since the circle is white and not blue, it is a normal greater than sign and since the arrow is going to the right it is greater than

Answer:

it would be b because the line is showing that x is greater than zero and there  is no line under the symbol because the dot is not shaded in.

Step-by-step explanation:

Answer:

Exactly 1

Step-by-step explanation:

y = 2 x + 1

The value of 'k' for the given system of equation that coincides  is 4

k=4

Given :

System of equations

[tex]2x+y=40 \\kx+2y=80[/tex]

The given equation is in the form of ax+by=c

When the two lines coincides then

[tex]\frac{a_1}{a_2} =\frac{b_1}{b_2} =\frac{c_1}{c_2}[/tex]

Lets make the coefficients proportional to each other and then solve for k

[tex]\frac{2}{k} =\frac{1}{2} =\frac{40}{80} \\\frac{2}{k} =\frac{1}{2} =\frac{1}{2} \\\\\frac{2}{k} =\frac{1}{2} \\4=k\\k=4[/tex]

The value of k from the given system of equation is 4

When the line coincides then the value of k is 4

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Answer:

2:5

Step-by-step explanation:

Shapes that are similar have the same ratio (and angle measurements), usually the only change in similar shapes is through a dilation or rotation.

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Hope this helps! :)

Answer:

x=5.9

Step-by-step explanation:

First, you want to isolate x so you have to subtract 31.7 from both sides. This will make the equation -3x=-17.7. Because they are both sides are negative, you can change both sides to positive so it will be 3x=17.7. Next, you want x to be 1 so you have to divide 3 in both sides. This will make the equation x=17.7/3. Simplify that to get x=5.9.

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Answer:

1203.3734754701242754528955797863116165046

Answer:

No, also you can try  to use desmos to figure it out it is a very helpful tool

Step-by-step explanation:

Answer:

ok im telling people to help u because i dont know that xd

Step-by-step explanation:

Answer:

0.15 km/min

Step-by-step explanation:

V=S/T

=50/360

≈0.15km/min

Answer:

a run of 6

Explanation:

AB=4 , AC=3

If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6

Answer:

5yd= 15 ft

6yd= 18ft

10 yd= 30 ft

2yd=6ft

13yd=39ft

Step-by-step explanation:

Length of the ladder = 13 m

Foot of the ladder from the wall = 5 m.

The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.

In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.

In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.

In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.

So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.

Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m

wall ^ 2 + ground ^ 2 = 13^2 = 169

w^2 + g^2 = 169

w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12

Rate of change of ground distance = dg / dt = 2m/s (given).

In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.

2 w dw/dt + 2 g dg/dt = 0

2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0

dw/dt = -20 / 24 = -5 / 6

Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)

The minus sign denotes that the height of the ladder is falling.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diameter d = 13 meters

Circumference = πd = 3.14 × 13 = 40.82 meters

Answer:

60

Step-by-step explanation:

[tex]180 - 2(60) = 60[/tex]

Answer:

60°

Step-by-step explanation:

A triangle with two 60° angles has another 60° because 180-(60+60)=180-120=60°.

Also, this is an equilateral triangle.

Answer:

A

Step-by-step explanation:

Simply guess and check, meaning the boys category must be divisible by 2 and the girls category must be divisible by 3

A: 24 boys ÷ 2 = 12 (equals a whole number so it is divisible; not a decimal)

36 girls ÷ 3 = 12 (both of the boys and girls are divisible by their corresponding numbers)

Yes

Now make sure the boys are a lower count than the girls as the ratio says it should be 2 to 3, meaning there are more girls than boys

B: 20 ÷ 2 = 10 (divisible)

35 ÷ 3 = 11.666 (this is a decimal answer so it is not divisible)

No

C: 36 ÷ 2 = 18

24 ÷ 3 = 8

Yes, they are divisible

Now lets check if boys have a lower count than girls

36 boys > 24 girls

This is not the solution as it doesn't reflect the correct ratio of less boys than girls

D: 35 ÷ 2 = 17.5 (not divisible)

20 ÷ 3 = 6.66 (not divisible)

Answer:

14.52 seconds

Step-by-step explanation:

Answer:

a) 21 √m inches

b) 13√2/2 m

Step-by-step explanation:

a) we want to find the perimeter of an equilateral triangle

An equilateral triangle is one which sides has the same equal length

The perimeter of this triangle is the sum of the lengths of the three sides

Mathematically, we have this as:

7 √m + 7 √m + 7 √m

= 21 √m inches

b) we want to calculate the perimeter of the given rectangle

Mathematically, we can calculate the perimeter of a rectangle using the formula below;

P = 2(l + b)

where l represents the length of the rectangle and b represents the breadth of the rectangle

From the given shape;

l = √50 m, b = 1/2 √32

So, we have the perimeter follows;

2( √32/2 + √50)

= √32 + √50/2

√32 = 4√2

√50 = 5√2

Thus, we have;

4 √2 + 5 √2/2

= (8 √2 + 5 √2)/2 = 13√2/2

welp i cant help but i can sing ;-;

Step-by-step explanation:

Answer:

the answer is 130

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

when adding you positive number to a negative number you have to subtract. so to make it easier im going to change it from -240 +370 to

370-240 and solve

370-240=130

have a great day :D

Answer:

Step-by-step explanation:

two points: (0,2) and (-1, -4)