All categories

3 years ago

If anyone knows this I will give them brainiest

Mathematics

1 answer:

statuscvo [17]3 years ago

3 0

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

You might be interested in

What is the volume of this figure?<br><br> Enter your answer in the box.

yan [13]

Answer: 2080

Step-by-step explanation: formula for volume of trapezoid prism is bh. 10 times 19 is 190. formula for rectangular prism is lwh. 7 times 30 times 9 is 1890. add 190 and 1890 for both of their volumes.

8 0

3 years ago

Help portfolio questions

tigry1 [53]

<span>Hello. . . I'm assuming this is the answer. . .

8x=1000000
x=125000</span>

8 0

3 years ago

Name the property the equation illustrates.<br> (ab)3 = a (63)<br> Accociative Property of addition

Delvig [45]

<h3><u>Question:</u></h3>

Name the property the equation illustrates

(ab)3 = a(b3)

A. Commutative property of addition

B. Associative property of Multiplication

C. Associative Property of Addition

D. Inverse Property of Multiplication

<h3><u>Answer:</u></h3>

Associative property of Multiplication

<h3><u>Solution:</u></h3>

From given equation

(ab)3 = a(b3)

We have to find the property used here

We find the brackets are interchanged

So here, given is a multiplication equation

Therefore, Associative property of Multiplication is used

<h3><u>Associative property of Multiplication:</u></h3>

This property says that when we are multiplying it does not matter where you put the parenthesis

The result will be same wherever we put the parenthesis in multiplying two or more numbers

Which means,

$a \times (b \times c) = (a \times b) \times c$

Therefore, from given,

$a \times (b \times 3) = (a \times b) \times 3$

Thus associative property of multiplication is used

8 0

3 years ago

Please Help Me with this Step by step:<br> 12-(3x+13)=0

Vesna [10]

Distributive property
12-3x-13 = 0
Combine like terms
-1-3x = 0
-3x = 1
Divide by -3
x = -1/3

3 0

3 years ago

In the figure, BC is a support for the roof<br> of a garage. What is the length of BC?

Sonbull [250]

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

4 0

3 years ago