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2 years ago

"Which pairs of angles in the figure below are vertical angles? Check all that apply.

Mathematics

2 answers:

Llana [10]2 years ago

7 0

Answer:

A and B

Step-by-step explanation:

SIZIF [17.4K]2 years ago

5 0

Vertical angles are angles that share the same vertex or corner point. These angles are the angles opposite each other when two lines cross.

In the image there is only one pair of vertical angles.

Angle TSW and Angle ISN. The share the corner point identified as S.

Answer is: B. Angle ISN and Angle TSW.

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A baby wriggled so much that weighing him at the clinic was a problem. So the doctor held the baby and stood on a scale. Then th

Pepsi [2]

X = weight of the baby.
y = weight of the doctor.
z = weight of the nurse.

x + y = 78 so y = 78 - x
x + z = 69 so z = 69 - x
x + y + z = 142

substitute y = 78 - x and z = 69 - x into x + y + z = 142

x + y + z = 142
x +78 - x + 69 - x = 142
-x + 147 = 142
-x = - 5
x = 5

answer

the weight of the baby was 5 kg

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2 years ago

Read 2 more answers

Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o

slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

x + 24

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

-x+18 -x+18

3x = 42 Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

His sister is 19

5 0

2 years ago

Read 2 more answers

R+5/mn=p solve for m

AnnZ [28]

Answer:

$\bold{m\ =\ \dfrac5{(p-r)n}}$

Step-by-step explanation:

$\bold{r+\dfrac5{mn}\ =\ p}\\\\ {}\quad-r\qquad-r\\\\{}\ \ \bold{\dfrac5{mn}\ =\ p-r}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\quad\bold{5\ =\ (p-r)^{_\times}(mn)}\\\\\div(p-r)\quad\div(p-r)\\\\{}\ \ \bold{\dfrac5{p-r}\ =\ mn}\\\\{}\quad \ \div n\quad\ \ \div n\\\\\bold{\dfrac5{(p-r)n}\ =\ m}$

If you mean (r+5)/mn then:

$\bold{\dfrac{r+5}{mn}\ =\ p}\\\\{}\ ^{_\times}(mn)\quad ^{_\times}(mn)\\\\{}\ \bold{r+5\ =\ pmn}\\\\\div(pn)\quad\div(pn)\\\\{}\ \ \bold{\dfrac{r+5}{pn}\ =\ m}$

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2 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If m a. 17.32 m b. 6.93 m<b

zepelin [54]

In ΔABC,
tanA = a/b
∴ a = b×tanA = 12×1/√3 = 6.928 ~ 6.93 m

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2 years ago

A square rotated about its center by 360º maps onto itself at(1,2,3,4) different angles of rotation. You can reflect a square on

Sladkaya [172]

A square rotated about its center by 360º maps onto itself at 90°, 180°, 270° and 360° - 4 different angles of rotation.

You can reflect a square onto itself across two diagonals and two segments that connects the middlepoints of opposite sides - 4 different lines of reflection.

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2 years ago