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Likurg_2 [28]
3 years ago
15

Midpoint question......

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

24; 12; 35

Step-by-step explanation:

Midsegments are 1/2 or their parallel line, so:

SU*2=QR

QR=24

Since QT is half of QR because point T is the midpoint of that line:

SU*1=QT

QT= 12

If PR=70, then ST is half of that:

70/2=35

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I need help on this question plz
devlian [24]

Answer is "Nothing, they are equal". The central angle = its associated arc.

Other things to remember:

Tangent Angle= 1/2 Arc

Inscribed angle= 1/2 Arc

The central angle is the only one that equals its arc.



4 0
3 years ago
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b = 77 centimeters and c = 85
MAVERICK [17]

Answer:

The perimeter of the triangle 198 cm.

Step-by-step explanation:

Given that,

In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.

Pythagorean Theorem:

Sum of square of the legs is equal to square of hypotenuse.

∴a²+b²=c²

a= ?, b= 77 cm and c=85 cm

a²+77²=85²

⇒a²+5929=7225

⇒a²=7225-5929

⇒a²= 1296

⇒a = 36 cm

The perimeter of the triangle = sum of all sides

                                                =a+b+c

                                                 =(36+77+85) cm

                                                = 198 cm

4 0
3 years ago
What are the solutionso of 8x^2 = 6 + 22x
liraira [26]
You can get all the terms on one side, and then solve for x by any means:
0 = -8x^2+22x+6

Factor out a -2:
0 = -2(4x^2-11x-3)

Factor this equation:
0 = 4x^2-11x-3

I will use the AC method. To use it, first multiply a and c (in ax^2 + bx +c):
4*-3 = -12

Now, look for two numbers that multiply to -12 and add to -11. Obviously these numbers are -12 and 1. (-12*1 = -12 and -12+1  = -11). Now, because of rules, you set it up in a Punnett square:

4x^2        -12x
x              -3

Now, we find common factors of the terms in rows:
     _x_______-3__
4x| 4x^2        -12x
1   | x              -3

So, you can use this to write an equivalent expression to the quadratic given:
(x-3)(4x+1)

Now, we known the factors are (solve for x): 3 and -1/4.
3 0
3 years ago
Read 2 more answers
The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14
kodGreya [7K]

\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where a and b are the two angles.

\left \{ {{a=5b-13} \atop {a+b=140}} \right

We will use substitution to solve this system. We know what a equals, so we plug that into the second equation.

5b-13+b=140

Combine the like terms.

6b-13=140

Add 13 on both sides.

6b=153

Divide both sides by 6.

b=\frac{153}{6}=\boxed{\frac{51}{2}}

Now just subtract that from 140.

a=140-\frac{51}{2}=\boxed{\frac{229}{2}}

7 0
3 years ago
Does (2,-3) satisfies the equation 5x+3y=1
Korvikt [17]

Answer: Yes

Step-by-step explanation: We're going to have to substitute

in the coordinates of that ordered pair into the equation.

I am going to substitute in the x and substitute in the y.

So it's really 5(2) + 3(-3) = 1.

From here it should be pretty straightforward,

all we are doing is evaluating the statement.

Simplifying on the left we have 10 + -9 = 1 or 1 = 1.

Now we know that the ordered pair (2, -3) satisfies this equation.

7 0
3 years ago
Read 2 more answers
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