Solve for z: -14z - -16z - -8z

I'm kinda lost in this problem. Can you teach me how to solve these

boyakko [2]

53) Vertical angles are congruent, so $m\angle IDA=121^{\circ}$

54) $\angle YDA$ and $\angle YDF$ are supplementary, so $m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}$

55) Because vertical angles are congruent, $m\angle FDI=59^{\circ}$ . Now, because DR bisects $\angle FDI$ , this means $m\angle RDI=\frac{59}{2}=29.5^{\circ}$

56) This is a geometric sequence where the next term is obtained by multiplying the previous term by -2, so the next two numbers are 16, -32

8 0

2 years ago

In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:

ch4aika [34]

Answer:

A) 3x

Step-by-step explanation:

The total of all the volumes is ...

(x -1) + (x) + (x +1) = (1+1+1)x +(-1+1) = 3x+0 = 3x . . . . . matches choice A

6 0

3 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

3 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

You win an online auction for a toy. Your winning bid of $35 is 70% of your maximum bid. How much more were you willing to pay f

luda_lava [24]

35 = 70%

If you divide 35 by 7, you will find what 10% of your maximum bid is.
35/7 = 5
5 = 10%

Multiply your value of 10% by 10 to get 100%.
5*10 = 50

Your maximum bid would be $50. You actually spend $35. To find the amount more you were willing to pay, subtract the two values.
$50-$35 = $15

Answer: You were willing to pay 15 more dollars than you did.

5 0

3 years ago

Solve for z: -14z - -16z - -8z - 11z +7z = -12