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yaroslaw [1]
3 years ago
13

Angle RST and Angle GSH are vertical angles. Angle RST = 5b + 20 and

Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

The measure of angle RST is 80

Step-by-step explanation:

Since they are vertical angles, then they must be equal as vertically opposite angles are equal

Thus;

5b + 20 = 7b - 4

7b - 5b = 20 + 4

2b = 24

b = 24/2

b = 12

But RST = 5b + 20

substitute for b

RST = 5(12) + 20

RST = 60 + 20

RST = 80

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2(9p + 13)

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Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got
Pavlova-9 [17]

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

5 0
3 years ago
If the area of a rectangle is 42 what is the perimeter?
mihalych1998 [28]

Answer:

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Step-by-step explanation:

7 0
3 years ago
.Un recipiente cilíndrico de 5cm de radio y 10cm de altura se llena de agua. Si la masa del recipiente lleno es de 2kg, ¿cuál es
Lera25 [3.4K]

Answer:

La masa del recipiente vacío es 1,2146 kg.

Step-by-step explanation:

La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:

densidad= \frac{masa}{volumen}

Entonces la masa puede ser expresada como:

masa= densidad*volumen

En este caso:

  • densidad del agua= 1000 \frac{kg}{m^{3} }
  • volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³

Reemplazando:

masa= 1000 \frac{kg}{m^{3} } * 7,854*10⁻⁴ m³

masa=0.7854 kg

Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:

2 kg - 0,7854 kg= 1,2146 kg

Entonces,<u><em> la masa del recipiente vacío es 1,2146 kg.</em></u>

<u><em> </em></u>

<u><em></em></u>

8 0
3 years ago
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