Which quadrilateral can have exactly 2 right angles

makvit [3.9K]

Answer:

x = 4

Step-by-step explanation:

If you do not want to read the explanation go the the next part in bold

Ok so the shorter leg of the triangle is a radius of the circle. ( This is indicated by the point in the middle of the circle.) for the hypotenuse we are given one part of the length (2) The other part also happens to be a radius ( remember that a radius is a line that starts from the center of the triangle to any point of the circumference. ) Also remember that the radius is equal to 3. That being said the hypotenuse = 2+3 which equals 5.

This triangle then happens to be a right triangle. ( A triangle formed by a tangent line and a radius is a right triangle.) This means that we can use the Pythagorean theorem to solve for x.

Below here is where the work is shown

a² + b² = c². where a and b = legs and c = hypotenuse. We are given the hypotenuse (5) and a leg (3) So we plug in what we are given and solve for the missing information. 5² = 3² + b²

5² = 25

3² = 9

we would then have 25 = 9 + b²

Next we subtract 9 from each side

25 - 9 = 16

9 - 9 cancels out

Now we have 16 = b²

finally we want to get rid of the ²

To do so we take the square root of each side

$\sqrt{16}=4\\\sqrt{b^2}=b\\b = 4$

we're left with b = 4 which means that x = 4

8 0

3 years ago

12/14 36/40 in simplest form

Lunna [17]

12/14 = 3/4 36/40= 9/10

4 0

3 years ago

Read 2 more answers

What is the inverse of the function y=-8x+15?

frez [133]

Answer:

y = (x-15)/-8

Step-by-step explanation:

When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.

y = -8x + 15

x = -8y + 15

x-15 = -8y

(x-15)/-8 = y

6 0

3 years ago

Read 2 more answers

Help meee please thank you will mark brainlist….

erik [133]

Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

AB = 8x + 3, BC =2x + 7 and AC = 80 Find value of AB and BC

yulyashka [42]

Answers:
1) The value of AB is: " 59 units."
2) The value of BC is: "21 units."
_______
3) The value of AB + BC ;

= 59 units + 21 units ;

= [the value of AC ] ;

= {" 80 units ".}.
_______

Step-by-step explanation:

Given the following—and based on the assumption that we are dealing with: "geometric lines"—and/or: "geometric line segments"—we are asked to:
"Find the value of: " AB and BC" .
{Given: " AB = (8x + 3) ; BC = (2x + 7) ; AC = 80 ".}.
----------------------------------------------------------------------------------------------=-
Note: The following "line graphs" are "Not Drawn to Scale."

| (8x + 3) | (2x + 7) |

|<--------------->|<------------------->|

<----·|----------------->|<------------------->| {Note: "Not drawn to scale."}.
A B C
<-----|----------------->|<------------------->|

A C

<-----|<--------------------------------------->|

<-----|----------------------------------------->|

A {"AC = 80 ".} C

<---|------------------------------------------>|
A {"AC = 80 ".}. C

| (8x + 3) ; + (2x + 7) = 80 ;

<-----|----------------->|<--------------------->I
A B C

So: We have to find the value of:
1) AB ; which is: (8x + 3) ; And:
2) BC ; which is: (2x + 7) .

To get these values; we need to find the value for "x".

So: (8x + 3) + (2x + 7) = 80 ;
➝ 8x + 3 + 2x + 7 = 80 ;

➝ Now, Let us combine the "like terms" on the "left-hand side" of the equation:
+8x + 2x + 3 + 7 ;

➝ to get: + 8x + 2x = + 10x ; and:
+3 + 7 = 10 ;

To get: "10x + 10" ;

Now, we can rewrite the equation:
{" 70 ÷ 10 = 7 ."}. " 10x + 10 = 80 ;

_____________________
To solve for "x" ; there are many ways:
_____________________
Method 1) We have: " 10x + 10 = 80 " ;
➝ Now, subtract "10" from each side of the question;
10x + 10 − 10 = 80 − 10 ;
to get: 10x = 70 ;

➝ Now, divide each side of the equation by: "10" ; to isolate "x" on one side of the equation; & to solve for "x" ;

10x /10 = 70 /10 ; to get: " x = 7 "

Method 2)
At the moment above in which we have:
" 10x = 70 " ; we know that "10x ÷ 10 = 1x" ; and then "70 ÷ 10 = 7 ".

{Note that any value; divided by "10" ; is equal to:
{"that value" moved Back by: "One" decimal space.}.

So: " 1x = 7 " ; ↔ " x = 7 ".

_____________
Method 3) :

When we have: " 10x /10 = 70 /10 " ; we have " 1x " on the "left-hand side" of the equation; and: "{ 70 /10 }" = {" 70 ÷ 10 = 7 ."}.

Note that: {" 70 ÷ 10 = 7 "} ; can be determined in many ways;
For instance: {" 70 ÷ 10 = ? "} ;

➝ The zeros for Both the numerator and denominator "cancel out"—

and we have: " $\frac{70}{10}$ " ;
➝ Cancel out each of the two (2) "zeros" ; and we have: " $\frac{7}{1} = 7.$ "

➝ This is assuming that we figure out that: " $\frac{10x}{10}=1x =x$ ."

___________

Now; let's find the correct values for this Brainly Question:
1) AB = 8x + 3 ;
Substitute our calculated value for "x" ; and solve:

➝ AB = 8x + 3 ; ↔ 8(7) + 3 = 56 + 3 = 59 .

➝ BC = 2x + 7 ; ↔ 2(7) + 7 = 14 + 7 = 21 .
Note:
➝ AC = 80 = AB + BC ≟ 59 + 21 ≟ 80 ? Yes!

____________
Answers:
1) The value of AB is: " 59 units."
___
2) The value of BC is: "21 units."
___

3) The value of AB + BC ;

= 59 units + 21 units = {The value of AC } = "80 units".}.

_____
Hope this answer—along with explanations—is helpful to you.

Best wishes in your academic pursuits!

______

7 0

2 years ago