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rjkz [21]
2 years ago
11

16. The measure of angle QRT is 154 degrees, and ray RS bisects angle QRT. What are the measures of angle QRS and angle SRT?​

Mathematics
1 answer:
vaieri [72.5K]2 years ago
6 0

Answer:

77º for both

Step-by-step explanation:

an angle bisector is a segment that splits an angle into two congruent parts. so they are both just half of QRT. That means they are 77º each

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The shirts cost a $150 for a 100 shirts how much per shirt
Rufina [12.5K]

Answer:

$1.5 per shirt if that's what you meant

Step-by-step explanation:

5 0
2 years ago
Find the area of each round your answer to the nearest tenth
daser333 [38]

Answer:

Area of a circle- <em>pi </em>x <em>r </em>square

3.14 x 2 x 2

= 3.14 x 4

= 12.56

Round off- 13

6 0
3 years ago
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Suppose a farm has pens for raising insects. A pen is shaped as a rectangle that measures x meters wide and 2x meters long and h
Ludmilka [50]

Answer:

1.2 meters.

Step-by-step explanation:

Length of pen = 2x meters

width of pen = x meters

shape of pen is  rectangular

we know that area of rectangle is given by length * width

Thus, area of the pen is x*2x = 2x^2

It is also given that area of pen is 2.8 square meters.

Equating numerical value of area  with area in terms of x, we have

2x^2 = 2.88\\=> x^2 = 2.88/2\\=> x^2 = 1.44\\=> x = 1.2

Thus value of x is 1.2 meters.

5 0
3 years ago
Solve this equation for x: 2x^2 + 12x - 7 = 0
zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: 2x^2 + 12x - 7 = 0

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7

Step 2: Divide the equation all through by the coefficient of x^2 which is 2.

x^2 + 6x=\frac{7}{2}

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3=3^2

Therefore, we have:

x^2 + 6x+3^2=\frac{7}{2}+3^2

Step 4: Write the Left Hand side in the form (x+k)^2

(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\

Step 5: Take the square root of both sides and solve for x

x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355

6 0
2 years ago
Write the complex number in the form a + bi.<br> 3(cos 60° + i sin 60°)
hram777 [196]

Answer:

The complex number in the form of a + b i is 3/2 + i √3/2

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = 3(cos 60° + i sin 60°)

∴ r = 3 and Ф = 60°

∵ cos 60° = 1/2

∵ sin 60 = √3/2

- Substitute these values in z

∴ z = 3(1/2 + i √3/2) ⇒ open the bracket

∴ z = 3/2 + i √3/2

* The complex number in the form of a + b i is 3/2 + i √3/2

6 0
2 years ago
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