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3 years ago

Brook drove a total of 180 miles in 3 hours. Diederick drove a total of 160 miles in 4 hours.

1 answer:

8 0

Actually, DIEDERICK drove faster than BROOK. What you can do to find out the answer, is divide. Brook drove 180 miles in 3 hours, so divide 180 by 3, and you get 60. If you divide 160 by 4, you get 40. So, that means that Diederick drove faster than Brook.

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Can someone help me please!!

Reika [66]

Answer:

X = 12

4x + 12 = 5x
subtract 4x on each side and you're left with x=12

3 0

3 years ago

The angle measures are represented by algebraic expressions.

Anuta_ua [19.1K]

Answer:

The value of x is 0.5

The value of y is 0.8

The value of z is 0.9

Step-by-step explanation:

* Lets explain how to find the values of x , y and z

- From the attached figure

# $l_{1}$ and $l_{2}$ intersect each other at a point

- When two lines intersect each other at a point they formed

congruent vertical opposite angles

∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°

because thy are vertical opposite angles

∴ 50z + 13 = 80z - 14

- Add 14 to both sides

∴ 50z + 27 = 80z

- Subtract 50z from both sides

∴ 27 = 30z

- Divide both sides by 30

∴ $z=\frac{27}{30}=\frac{9}{10}=0.9$

* The value of z is 0.9

- From the attached figure

# The angles of measures (50z + 13)° and (45x + 19/2)° have sum

of 90°

∴ 50z + 13 + 45x + 19/2 = 90

∵ z = 0.9

∴ 50(0.9) + 13 + 45x + 19/2 = 90

∴ 45 + 13 + 45x + 9.5 = 90

- Add like term in the left hand side

∴ 67.5 + 45x = 90

- Subtract 67.5 from both sides

∴ 45x = 22.5

- Divide both sides by 45

∴ x = 0.5

* The value of x is 0.5

- From the attached figure

# There is a ray perpendicular to line $l_{1}$

∴ The measure of the angle whose measure (225y/2)° is 90°

∴ $\frac{225y}{2}=90$

- Multiply both sides by 2

∴ 225y = 180

- Divide both sides by 225

∴ $y=\frac{180}{225}=\frac{4}{5}=0.8$

* The value of y is 0.8

8 0

4 years ago

A shipment of 8 tons of sugar is separated into containers of equal size. If the shipment fills 3 1/3 containers, how much sugar

liubo4ka [24]

Take 8 and divide it by 3 1/3. to make it easer 1/3 could be .3 as a decimal.
so 8 divided by 3.3.
8/3.3= 2.42
so it would be 2.42 tons of sugar per container.

3 0

3 years ago

Find the value of x Write your answer in simplest radical form

Misha Larkins [42]

What's the equation?

6 0

3 years ago

The diagonals of a kite separate the quadrilateral into four congruent triangles

statuscvo [17]

If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.
hope this helps :)

6 0

3 years ago