All categories

2 years ago

Find the value of x. Then find the measure of each labeled angle

Mathematics

1 answer:

Artyom0805 [142]2 years ago

7 0

Step-by-step explanation:

Question 10 :

3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)

simplify and get x, thus x = 18

to find 3x + 6 or 4x - 12(which is both the same),

3(18) + 6 = 60° , 4(18) - 12 = 60°

Question 11:

2x + 24 + x = 180 ( reason: interior angles due to parallel lines)

simplify again to get x, you will get x = 52

then find the individual by subbing in the value of x into the equation.

so 2x + 24 = 2(52)+24 = 128° and x = 52°

You might be interested in

At the start of a mission, international spy James withdrew $5,000 in Cairo. In Istanbul, he withdrew half of the remaining mone

lord [1]

Answer:

Initial Amount at the start of the mission $=\$20000$

Step-by-step explanation:

Let initial amount $=x$

In Cario James withdrew $\$5000$ .

Remaining Amount $=x-5000$

In Instanbul he with drew half of the remaining amount so half of the remaining amount will be left.

$\frac{1}{2}\times(x-5000)=7500\\\\x-5000=15000\\\\x=20000$

8 0

3 years ago

9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tent

Veseljchak [2.6K]

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

$x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48$ $x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48$ x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

= 1156 + 1156 - 2312 c0s 138

= 4030.1508...

x = sq rt 4030.1508...

= 63.5

7 0

2 years ago

Write (5,0) with a slope of 2 in point-slope form.

neonofarm [45]

Y = mx + c
m = 2
y = 2x + c

At (5, 0)
0 = 2(5) + c
c = -10

y = 2x - 10

3 0

3 years ago

Probability:

wolverine [178]

The probability is 2

8 0

3 years ago

How do we solve this?

Murljashka [212]

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

3 0

3 years ago