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Alexxx [7]
3 years ago
9

B) Alfredo said that Angle 7 and Angle 6 are congruent and that would prove Line m

Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

Yes if Angle 7 and angle 6 are linear pairs in angles created by a straight line that cuts through parallel lines.

Step-by-step explanation:

Remember that two parallel lines that are cut by a transveral will create 8 angles, which will be similar to each other. Making four pairs of congruent angles means that they will be exactly the same angle located in different parts of the system. So if angles 6 and 7 are congruent, and the lines are cut by a transversal, then the lines are parallel.

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A video game box is 15 inches long and 10
Bumek [7]

Answer:

The box is 5 inches tall

Step-by-step explanation:

The given dimensions of the video games are;

The length of the video game, L = 15 inches

The width of the video game, W = 10 inches

The volume of the video game box, V = 750 cubic inches

Assuming that the shape of the video game box is a cuboid, we have;

The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H

∴ V = L × W × H

The height of the cuboid, H = V/(L × W)...(1)

Where, for the video game box;

L = Length = 15 in.

W = Width = 10 in.

V = Volume = 750 in.³

Plugging in the values of the variables in equation (1) gives;

H =  V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.

The height of the box, H = 5 inches.

5 0
3 years ago
it took Dean's family 3 hours to drive 195 miles on Friday. Then they drove at the same speed for 5 on saturday. how far did Dea
inn [45]

Hey!

Dean's family has been traveling on the same speed for two days, so to find how far you will need to travel you will need to find how far they are traveling in one hour..

To find this you will need to set up a proportion...

3/195 = 1/x

Solve this proportion by cross multiplying and then dividing..

195 * 1 = 195/3 = 65

This tells you that they are traveling 65 miles per hour. Now with this you will simply have to multiply 65 by 5 to tell you how far they would be traveling in 5 hours with the given speed...

65 * 5 = 325

Your answer of 325 miles tells you how far they traveled.


Hope it Helped!

~A

6 0
3 years ago
Could you please help for this?<br> Please.
Serggg [28]

Answer:

CD = 6.385 units

Step-by-step explanation:

Given triangle ABC with right angle at C.

And AB = AD + 6 .

Now, consider the triangle ABC.

⇒ cos(∠BAC) = \frac{AC}{AB}  (cosФ = adj/hyp)

cos(20) = \frac{AC}{AB} .

0.9397 = \frac{AD+CD}{AD + 6}

(since AB = AD + 6 and AC = AD + CD)

⇒ 0.9397 AD + 5.6382 = AD + CD

⇒ CD = 0.0603 AD + 5.6382. →→→→→ (1)

⇒ sin(∠BAC) =  \frac{BC}{AB} (sinФ = opp/hyp)

sin(20) =  \frac{BC}{AB}.

⇒ BC = AB sin(20)  . →→→→→(2)

Now, consider the triangle BCD,

sin(∠BDC) =  \frac{BC}{CD}

⇒ sin(80) =  \frac{BC}{CD}

CD =  \frac{BC}{sin(80)}

From (2), CD = \frac{AB sin(20)}{sin(80)} .

⇒ CD = AB (0.3473)

⇒ CD = (AD + 6) (0.3473)

⇒ CD = 0.3473 AD + 2.0838 →→→→→→(3)

Now, (1) →→ CD = 0.0603 AD + 5.6382

         (3) →→ CD = 0.3473 AD + 2.0838

⇒ 0.0603 AD + 5.6382 = 0.3473 AD + 2.0838

0.287 AD = 3.5544.

⇒ AD = 12.3847

⇒ From (1), CD = 0.0603(12.3847) + 5.6382

⇒ CD = 6.385 units

7 0
4 years ago
Express the function as a product and x=1
Natalija [7]

Answer:

the answer is x =1 mark me as brainliest

7 0
3 years ago
The probability of event A is P(A) = 0.25. What is the probability that event A does NOT occur?​
Kryger [21]

Answer:

.75

Step-by-step explanation:

75%

because it will give 100

6 0
3 years ago
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