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Bond [772]
2 years ago
8

Solve for the unknown angles. Justify your answers with steps (do not just provide answers)

Mathematics
1 answer:
AnnyKZ [126]2 years ago
3 0

Answer:

Angle XYV= 120 degrees

Step-by-step explanation:

Remember that interior angles in a quadrilateral= 360 degrees and angles on a straight line= 180 degrees

angleWXY + angleYXV =180 degrees (angles on a straight line)

hence, 3x + x= 4x, 4x=180

x=45

angleYXZ + angleXYV + angleYVZ + angleVZX = 360 degrees(angle sum of quadrilateral)

hence, x+ angleXYV + 3x + 60 = 360

4x + angleXYV = 360

sub x= 45

angleXYV = 360-4(45)

=120

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List the following fractions from least to greatest
jonny [76]

Answer:

It would be number 3. 1/7,3/7,4/7,6/7

Step-by-step explanation:

For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.

7 0
2 years ago
Which expressions show how 8 • 54 can be rewritten using the distributive property? Choose all answers that are correct.
irga5000 [103]
Answer choice B is using the distributive property.
6 0
3 years ago
A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
Given ZW=20. Answer the questions please. ​
djyliett [7]

a) Corresponding angles of similar figures are congruent, so \angle B \cong \boxed{\angle Z}

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is \frac{25}{10}=\boxed{5/2}

c) Since the scale factor is 5/2,

\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}

8 0
2 years ago
two-point charges are 10.0 cm apart and have charges of 2.0 uc and -2.0uc respectively What is the magnitude of the electrical f
maks197457 [2]

Answer:

The electric field generated by a point charge is given by:

where

is the Coulomb's constant

Q is the charge

r is the distance from the charge

We want to know the net electric field at the midpoint between the two charges, so at a distance of r=5.0 cm=0.05 m from each of them. 

Let's calculate first the electric field generated by the positive charge at that point:

where the positive sign means its direction is away from the charge.

while the electric field generated by the negative charge is:

where the negative sign means its direction is toward the charge.

If we assume that the positive charge is on the left and the negative charge is on the right, we see that E1 is directed to the right, and E2 is directed to the right as well. This means that the net electric field at the midpoint between the two charges is just the sum of the two fields:

Read more on Brainly.com - brainly.com/question/9699355#readmore

Step-by-step explanation:

6 0
3 years ago
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