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Oksana_A [137]
4 years ago
6

Help me with this math problem please

Mathematics
2 answers:
kvasek [131]4 years ago
6 0
Your answers are
Y=8
RS= 77
ST= 31
mrs_skeptik [129]4 years ago
5 0

Answer:

y=8

RS=77, ST=31

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

RT=RS+ST

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

108=(9y+5)+(3y+7)

On the right, combine like terms:

108=(9y+3y)+(5+7)

Add:

108=12y+12

Subtract 12 from both sides. The right cancels:

96=12y

Divide both sides by 12:

y=8

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

RS=9y+5

Substitute 8 for y:

RS=9(8)+5

Multiply:

RS=72+5

Add:

RS=77

Do the same for ST:

ST=3y+7

Substitute 8 for y:

ST=3(8)+7

Multiply:

ST=24+7

Add:

ST=31

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Indicate the method you would use to prove the two ▲'s ≅. If no method applies, enter "none".
zysi [14]

Answer: None


Step-by-step explanation:

In the given picture , there are two triangles and their corresponding angles are equal.

So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.

[∵ we know that congruent are similar but similar triangles may not be congruent.]

Therefore, there is no sufficient information to prove them congruent by using any given postulate.

Hence, the answer is "None".



4 0
3 years ago
Read 2 more answers
AB is a straight line workout the size of angle X
Hoochie [10]

The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.

<h3>What are supplementary angles?</h3>

Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.

Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.

The straight line formed a 180° angle. The resulting equation is as follows:

⇒x+42°+29°=180°

⇒x=109°

Hence, the value of the x will be 109°

The complete question is:

AB is a straight line.

Work out the size of angle x.

Not drawn accurately

42°

Х

29°

А

B

To learn more about supplementary angles, refer to:

brainly.com/question/12919120

#SPJ1

4 0
1 year ago
What is the sum of the measures of the interior angles of a regular polygon if leach exterior angle measures 120°?
GREYUIT [131]

Answer:

180

Step-by-step explanation:

180-120 = 60 this is one of all the congruent angles

of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180

5 0
3 years ago
Smith's age is 8 and his mother is 42.in how many years will the mother be three times as his son​
frozen [14]
Let’s make an equation
Let’s say x = amount of years after
Smith = 8, mother = 42
3(8 + x) = 42 + x
24 + 3x = 42 + x
2x = 18, x = 9
Solution: after 9 years
3 0
3 years ago
Question 6 (4 points)
riadik2000 [5.3K]

Answer:

Interior Angles: 3, 4, 5, 6

Exterior Angles 1, 2, 7, 8

Hope this helps!

3 0
3 years ago
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