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lesantik [10]
1 year ago
6

What is the measurment of the angle TRS?

Mathematics
1 answer:
Alisiya [41]1 year ago
8 0

From the figure we notice that the triangle is an isosceles one. This means that the angles RTS and RST are the same. Hence:

m\angle RTS=m\angle RST=71

To find the remaining angle we need to use the fact that the sum of the interior angles of any triangle is 180, then:

m\angle TRS+m\angle RTS+m\angle RST=180

Plugging the values we know and solving for TRS we have:

\begin{gathered} m\angle TRS+71+71=180 \\ m\angle TRS=180-71-71 \\ m\angle TRS=38 \end{gathered}

Therefore, the angle TRS is 38°.

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I will mark as brainiest
Margaret [11]

If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

8 0
2 years ago
Tereq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon
astraxan [27]

Answer:

8.5 per pound

Step-by-step explanation:

22.10/2.6=8.5

hope this helps!!

3 0
3 years ago
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Find an expression which represents the difference when (9x−6) is subtracted from (6x+7) in simplest terms.
evablogger [386]

Answer:

3x + 1

Step-by-step explanation:

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9x-6x -6 +7

3x +1

8 0
3 years ago
What is the measure of PSQ in degrees? Angle PSR measures 99°.
11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR=99°

m∠PSR=(3x+18)+(9x-27)°

so

99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees

Step 2

Find the value of m∠PSQ

m∠PSQ=(3x+18)

m∠PSQ=(3*9+18)

m∠PSQ=45°

therefore

the answer is the option

C) 45 degrees

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7nadin3 [17]

let's firstly convert the mixed fractions to improper fractions and then to do away with the denominators, let's multiply both sides by the LCD of all denominators.

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