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Ugo [173]
3 years ago
12

In circle O, SU is a diameter. Circle O is shown. Line segment S U is a diameter. Line segments R O and T O are radii. Points R

and T are between points S and U. Angles S O R and T O U are congruent. Angle R O T is (13 x + 15) degrees and angle T O U is (9 x + 5) degrees. What is mArc S T? 100° 108° 130° 160°

Mathematics
2 answers:
Finger [1]3 years ago
8 0

Answer:

130°

Step-by-step explanation:

See the attached diagram.

Given that ∠ ROS = ∠ TOU = 9x + 5

Again, ∠ ROT = 13x + 15.

Therefore, 13x + 15 + 2 (9x + 5) = 180

⇒ 31x + 25 = 180

⇒ 31x = 155

⇒ x = 5

Hence, ∠ SOT = ∠ SOR + ∠ ROY = 9x + 5 + 13x + 15 = 22x + 20 = 130°  

(Answer)

shusha [124]3 years ago
5 0

Answer:

130 on edge

Step-by-step explanation:

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Step-by-step explanation:

If y was directly proportional to x, the graph of y against x would pass through the origin (O).

Since the graph above does not show this, y is not directly proportional to x.

7 0
3 years ago
A cylindrical container's lateral surface is to be covered by a label. The container's diameter is 5 inches, and its height is 8
Nezavi [6.7K]

Answer:

The correct option is C. 126 in²

Step-by-step explanation:

Diameter of the container = 5 inches

⇒ radius of the container = 2.5 inches

Height of the container = 8 inches

To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container

Lateral Surface Area of Cylinder = 2·π × radius × height

                                                      = 2 × 3.14 × 2.5 × 8

                                                      = 125.66 square inches

                                                      ≈ 126 square inches

Hence, 126 square inches of paper is needed to create the label.

So, The correct option is C. 126 in²

3 0
3 years ago
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Suppose that the function f is defined. , for all real numbers, as follows.
aivan3 [116]

Answer:   <em>The values of......</em>

<em>f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0</em>

Step-by-step explanation:

Given function is:   \left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.

For f(-5),  the value of x is -5, which is not equal to -2.

So,  f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}

For f(-2),  the value of x is -2.

So,  f(-2)= -1

For f(4),  the value of x is 4, which is not equal to -2.

So,  f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0

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3 years ago
WILL MARK BRANIEST WHO EVER GETS IT RIGHT PLEASE HELP
Lelu [443]

Answer:

1.02227

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5 0
3 years ago
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The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and sol
katen-ka-za [31]

Answer: Length = 28cm

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Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

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5 0
3 years ago
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