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ollegr [7]
3 years ago
14

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

x=7

Step-by-step explanation:

63˚+70˚ = 133˚

180˚ - 133˚ = 47˚

(8x-9)˚ = 47˚

8x7=56

56-9=47˚

Furkat [3]3 years ago
3 0

Answer:

<em>x = 7 </em>

Step-by-step explanation:

(8x - 9)° = 180° - ( 70° + 63° )

8x - 9 = 47

8x = 47 + 9

x = 56 ÷ 8  

<em>x = 7</em>

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Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

<em>Third side < 8 + 15</em>

<em>Third side < 23</em>

<em>It means 3rd side must be less than 23</em>

<em>Case 2: Let 15 cm is the largest side.</em>

<em>15 < Third side + 8</em>

15 - 8 < Third side

7 < Third side

It means 3rd side must be greater than 7.

Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.

8 0
3 years ago
How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (The gear has a radius of 4 inches)
MaRussiya [10]
Your answer would be 600. all u have to do is multiply the degree rotation to the radius.
hope this has helped.
8 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (4, 9) and (6, 10).
kramer

Step-by-step explanation:

Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5

= 2.2360679774998

4 0
2 years ago
Last year Golden State Warriors won 80% of the first 15 matches. Then they won the rest of the three matches. What percent of al
MrMuchimi

Answer:

83.33%

Step-by-step explanation:

We first need to evaluate 80% of the first 15 matches in order to determine the number of watches out of 15 which they won.

80 % of 15 = 80/100 * 15 = 12

12 matches out of the first 15 were won.

Since the team won the rest of the 3 remaining matches, the total number of matches won becomes;

12 + 3 = 15

The team thus won 15 matches out of a total of 15 + 3 =18 matches .

The percent of all matches won is ;

15/18 * 100 = 83.33%

3 0
3 years ago
A point on the rim of a wheel has a linear speed of 33 cm/s. If the radius of the wheel is 50 cm, what is the angular speed of t
Zigmanuir [339]

Answer:

The angular speed of the wheel in radians per second is 0.66.

Step-by-step explanation:

Recall the following statement:

A linear speed (v) is given by,  

v=\omega \times r                       ...... (1)

Here,  \omega represents the angular speed of the wheel and <em>r</em> represents the  radius of the wheel.

From the given information:

Linear speed (v) = 33 cm/s

Radius of the wheel (r) = 50 cm

Now to find the angular speed in radian per second.

33 =50 \times \omega

Divide both sides by 50.

0.66 rad/sec= \omega

Hence, the angular speed of the wheel in radians per second is 0.66.

4 0
3 years ago
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