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IRINA_888 [86]
3 years ago
15

Solve for z. az + 17 = -4z – b.

Mathematics
1 answer:
Harrizon [31]3 years ago
5 0

Answer:

z = -b - 17 / ( a + 4 )

Step-by-step explanation:

az + 17 = -4z – b

collect like terms

az + 4z = -b -17

z( a + 4 ) = - b - 17

Divide both sides by ( a  + 4 )

z = -b - 17 / ( a + 4 )

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Last week, Tina worked 40 hours in 4 days. She worked the same number of hours each day. How many hours did she work each day? W
blsea [12.9K]

She works 10 hour per day

3 0
3 years ago
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle when x = 7?<br> 5x +4<br> 4x
Anastasy [175]

Answer:

48.01

Step-by-step explanation:

5(7)+4= 39

4(7)=28

39²+ 28²= 2305

√2305 = 48.01

4 0
3 years ago
What is the positive solution of x square minus 36 equals 5x
777dan777 [17]
Answer:

<span>⇒x=9</span> (positive solution)

Explanation:

<span><span>x2</span>−36=5x</span>

<span>→<span>x2</span>−36−5x=0</span>

Factor the expression:

We get:

<span><span>(x−9)</span><span>(x+4)</span>=0</span>

First solution:

<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>

<span>⇒<span>(x−9)</span>=0</span>

<span>⇒x=<span>9</span></span>

3 0
3 years ago
Need help on this math pls points and brainlest Math angles
iVinArrow [24]

Answer:

x = 28

m<ABC = 57°

Step-by-step explanation:

✔️(2x + 1)° + 33° = 90° (complementary angles)

Solve for x

2x + 1 + 33 = 90

Add like terms

2x + 34 = 90

2x = 90 - 34 (subtraction property of equality)

2x = 56

Divide both sides by 2

x = 28

✔️m<ABC = 2x + 1

Plug in the value of x

m<ABC = 2(28) + 1

= 56 + 1

m<ABC = 57°

5 0
2 years ago
Read 2 more answers
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