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tekilochka [14]
3 years ago
9

The sum of the measures of ∠QRT and ∠TRS is 180∘. What is the measure of ∠TRS If ∠TRS = ∠QRT?​

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Let the angles be x

  • ∠QRT = x
  • ∠TRS = x

We are taking both angles as x because they are equal!

\mathcal{∠QRT  + ∠TRS  = 180 \degree}

\tt \: x + x = 180 \degree

\tt \: 2x = 180 \degree

\tt \: x = 90 \degree

➪ <em>T</em><em>h</em><em>u</em><em>s</em><em>,</em><em> </em><em>T</em><em>h</em><em>e</em><em> </em><em>m</em><em>e</em><em>a</em><em>s</em><em>u</em><em>r</em><em>e</em><em> </em><em>o</em><em>f</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>a</em><em>n</em><em>g</em><em>l</em><em>e</em><em>s</em><em> </em><em>i</em><em>s</em><em> </em><em>9</em><em>0</em><em>°</em><em>.</em><em>.</em><em>.</em><em>~</em>

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One-third of the difference of a number and nine is negative fifteen. What is the number?​
Tems11 [23]

hi <3

lets call the unknown number 'x' for now and form an equation from what we know

1/3(x-9) = 15

now multiply both sides by 3

x - 9 = 45

add 9 to both sides

x = 54

hope this helps :)

3 0
3 years ago
Read 2 more answers
The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?
Soloha48 [4]
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50     ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36    ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
3 0
4 years ago
If the hypotenyse of an isosceles triangle is 8 inches, is there enough information to find the length of the legs? If yes, find
OLga [1]

Answer: 5..6 in.

Step-by-step explanation:

Given

Hypotenuse of isosceles triangle is 8 inches

In isosceles triangle two sides are equal

Suppose the other side is x

Using Pythagoras we can write

\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4\sqrt{2}\approx 5.6\ in.

Therefore, the lengths of the legs is 5.6 inches

3 0
3 years ago
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V125BC [204]
The answer is c=-3 hope it helps
7 0
3 years ago
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Elan Coil [88]

Answer:

(-3, 3/2)

Step-by-step explanation:

To find the midpoint between two points you are going to add the X1 and X2, then divide by two. Then you are going to add the Y1 and Y2, and divide by two.

A(-6,1)       B(0,2)

= (-6+0, 1+2)

= (-6, 3)

=(-6/2, 3/2)

=(-3, 3/2)

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