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gtnhenbr [62]
3 years ago
10

Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x.​

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Step-by-step explanation:

m∠3+ m∠5 = 180° (co-int angles are supplementary)

5x+ 10 + 3x + 10 = 180° (co-int ∠'s, parallel lines)

8x + 20 = 180

8x = 160

x= 160/8

x= 20°

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Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)
Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

u*v = |u||v| cos \theta

\theta is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0
3 years ago
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Kruka [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mya's bedroom is in the shape of a rectangular prism 15 feet long, 12 feet wide, and 10 feet high. It has no windows. Mya wants
azamat

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile dr
stiv31 [10]

The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

Answer: Omar drove the truck for 5.15 miles

Step-by-step explanation:

Base fee = 17.95 $

Additional charge per mile = 98 cents = 0.98 $     ( 100cents = 1$)

Now Omar payed = 22 $

Let the miles he travelled = x

Now , 17.95+0.98\times x=23

Solvimg for x :

x=5.15miles

Thus Omar drove the truck for 5.15 miles

5 0
2 years ago
Marilyn uses a credit card with a 19.9% APR compounded monthly to pay for car repairs totaling $991.38. She can pay $410 per mon
Leokris [45]
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The finance charge at the end of the second month will be
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The balance remaining after the second payment will be
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The finance charge applied at the end of the third month is
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so Marilyn can make one final payment of
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to pay off the balance.

In all, Marilyn has paid 2×$410.00 +201.01 = 
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_____
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8 0
3 years ago
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