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2 years ago

Solve for x -18 - 16 = 7x+ 34

Mathematics

2 answers:

asambeis [7]2 years ago

5 0

Answer:

x = -68/7 (-9.71428571429)

Step-by-step explanation:

Solve for x

-18 - 16 = 7x+ 34

- 18 - 16 - 34 = 7x

-68 = 7x

x = -68/7

----------------------

check

-18 - 16 = 7 * (-68/7) + 34

-18 - 16 - 34 = -68

-68 = -68

the answer is good

madreJ [45]2 years ago

4 0

X-18-16 = 7x + 34

Simplify:

X -34 = 7x + 34

Add 34 to both sides:

X = 7x + 68

Subtract 7x from both sides:

-6x = 68

Divide both sides by-6

X = -34/3 = -11 1/3

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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD

FromTheMoon [43]

Answer:

5.8206 cm
10.528 cm
23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

BD/sin(48°) = BD/sin(50°)

BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

(b) We can use the Law of Cosines to find AD.

AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

AD^2 ≈ 110.841

AD ≈ √110.841 ≈ 10.5281 . . . cm

(c) The area of ∆ABD can be found using the formula ...

A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

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3 years ago

A store manager orders T-shirts that 15 out of every 35 or medium. How many medium T-shirts would you expect to find when there

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There would be 60 medium shirts

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3 years ago

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$\huge{ \mathrm{ \underline{ Answer }}}࿐$

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3 years ago

An acre measures 4840 square yards. In a city, a lot on which a single-

belka [17]

The lot is 9.2% of the an acre.

Given:

Area of an acre = 4840 sq. yards

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Convert the area of the lot to feet ( $9 ft^{2} = yd^{2}$ ):

Therefore:

Area of lot = $\frac{4,000}{9} = 444.4 $ yd^{2}$

Percentage occupied by the lot = area of lot / area of acre x 100

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brainly.com/question/20730855

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2 years ago

The measures of three angles of a triangle are given by (8x - 5), (2x)º, and (3x – 10). What is the measure of the largest angle

zhannawk [14.2K]

Answer: 115°

Step-by-step explanation:

We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:

(8x - 5) + (2x) + (3x - 10) = 180

8x - 5 + 2x + 3x - 10 = 180

Collect like terms

8x + 2x + 3x = 180 + 5 + 10

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x = 195/13

x = 15

The angles are:

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Therefore, the largest angle is 115°

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2 years ago