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NARA [144]
2 years ago
7

Given: AR ⊥ RS , TS ⊥ RS AT=26, RS=24 AR=12 Find: TS Answer: TS =

Mathematics
2 answers:
Olenka [21]2 years ago
6 0

Answer:

Solution -

Drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

Using Pythagoras Theorem,

AT² = AQ² + QT²

⇒26² = 24² + QT²                    (∵ Due to symmetry AQ = RS)

⇒QT² = 676-576 = 100

⇒QT = 10

As TS = QT + QS = 12 + 10 = 22  ( ∵ Due to symmetry AR = QS )

∴ TS = 22 (ans)

kogti [31]2 years ago
4 0

Solution -

Drawing a perpendicular from AQ to TS, we get a right angle triangle AQT

Using Pythagoras Theorem,

AT² = AQ² + QT²

⇒26² = 24² + QT²                    (∵ Due to symmetry AQ = RS)

⇒QT² = 676-576 = 100

⇒QT = 10

As TS = QT + QS = 12 + 10 = 22  ( ∵ Due to symmetry AR = QS )

∴ TS = 22 (ans)

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Please help find them <br>1 AB<br><br>2 BC​
spin [16.1K]

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = \sqrt{246.63} ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

\frac{BC}{sin53} = \frac{BD}{sin32} = \frac{12.4}{sin32} ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = \frac{12.4sin53}{sin32} ≈ 18.7 cm ( to 1 dec. place )

         

6 0
2 years ago
Find all angle measures
Natali [406]

Answer:

1=90

2=68

3=112

4=112

5=68

6=68

7=112

8=112

3 0
3 years ago
X - 7 = 13 - x help asap plz
bekas [8.4K]

Answer:

x = 10

Step-by-step explanation:

x - 7 = 13 - x

Step 1 : Collect like terms and simplify

x + x = 13 + 7 \\ 2x = 20

Step 2 : Divide both sides of the equation by 2

\frac{2x}{2}  =  \frac{20}{2}

Step 3 : Simplify by cross cancellation of common term : 2

x = 10

4 0
3 years ago
If the MAD for a forecast is 3.2, we can say that a. The forecast is 3.2 units too high on the average b. The forecast is 3.2 un
Rudik [331]

Answer:

The forecast is accurate within plus or minus 3.2 units

Step-by-step explanation:

Mean Absolute Deviation is a statistical measure of dispersion from forecast. It measures accuracy level of predicted forecast, by averaging the difference between absolute value of each error from forecasted value.

MAD for a forecast states that : Forecast is accurate within the expected range variation of Mean Absolute Deviation.

So : If the MAD for a forecast is 3.2, we can say that -  The forecast is accurate within plus or minus 3.2 units

3 0
3 years ago
A rubber ball is filmed as it bounces on a sidewalk at 25 frames every second. Predict how many seconds of film will be shown in
ANEK [815]
If for one second we have to reserve 25 frames to find length of the movie we have to divide 1750 by 25, so
1750:25=70 [seconds] - its the result

To better understand lets think that u have 8 piece of cake and u want to give every person 2 piece. To find how many person u can invite u can divide 8 by 2. The answer is 4 here ofc.
8 0
3 years ago
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