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labwork [276]
3 years ago
14

If m angle ABD=79 degrees , what are m angle ABC and m angle DBC​

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

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The area of a rectangle is 259 cm2 and its lenght is 18.5 cm find
crimeas [40]

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

<em><u>Solution:</u></em>

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

<em><u>The area of rectangle is given by formula:</u></em>

Area\ of\ rectangle = length \times breadth

<h3><u>Find the breadth:</u></h3>

Substitute the given values in above formula:

259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14

Thus breadth is 14 cm

<h3><u>Find the perimeter:</u></h3>

The perimeter of rectangle is given by formula:

Perimeter = 2(length + breadth)

Substitute the given values in above formula:

perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65

Thus perimeter of rectangle is 65 cm

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3 years ago
Hennietta has a box of fruit with a mass of 88 dekameters. What is the weight of the vid of fruit in kilograms
vagabundo [1.1K]

Answer: 0.88 kilometers

8 0
3 years ago
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MARKING AS BRAINLIEST!! (Find area of each )
masha68 [24]

Answer:

38 km

Step-by-step explanation:

1. The formula to find the area of a trapezoid is \frac{a+b}{2}h, where a and b are the bases and h is the height.

2. To find the area, all we have to do is plug in these values and simplify!

3. (Solving)

  • \frac{a+b}{2}h
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Therefore, the area is 38 km.

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Answer:

The first ship has the same speed as Saige's ship while the second and third do not have the same speed.

Step-by-step explanation:

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t = Time taken = 60 seconds

Speed is given by

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