All categories

3 years ago

Help please!!!!!!!!!!!

Mathematics

1 answer:

Lisa [10]3 years ago

8 0

Answer:

x = 7

Step-by-step explanation:

If ∠ABD has a measure of 3x and ∠ABD is half of ∠ABC, then angle ABC has a measure of 6x. If ∠ABC measures 42°, then 6x = 42.

Divide both sides by 6.

You might be interested in

A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by car, and the rest of the way b

Shkiper50 [21]

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

7 0

3 years ago

What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?

Mashcka [7]

Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8

3 0

3 years ago

plz help whats the answer to this question !!! calculate the mass of a gold bar that is 18.00cm long, 9.21cm wide, and 4.45cm hi

erik [133]

We have to find the mass of the gold bar.

We have gold bar in the shape of a rectangular prism.

The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.

First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:

Volume of the gold bar $= length \times width\times height$

Plugging the values in the equation we get,

Volume of the gold bar $=18.00 \times 9.21 \times 4.45= 737.721cm^3$

Now that we have the volume we can find the mass by using the formula,

$Mass= density \times volume$

The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:

$Mass = 19.32\times 737.721=14252.769$ grams

So, the mass of the gold bar is 14252.769 grams

7 0

3 years ago

Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.

Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = $150\times \frac{4}{(4+1)}$

= $150\times \frac{4}{5}$

= £120

Similarly, amount received by Tanya = $150\times \frac{1}{(4+1)}$

= £30

Difference in their amounts = 120 - 30

= £90

Therefore, Ivan got £90 more than Tanya.

7 0

3 years ago

What is the missing value? The Volume is 5120 m^3

Neko [114]

I think that the missing value is 16m.

I just multiplied two other numbers with 20 and 20 x 16 x 16 = 5120

I hope this was right.

7 0

3 years ago