All categories

2 years ago

M∆abc=17x+8,m∆abk=42°, and m∆kbc=12x-4. Find m∆abc

1 answer:

8 0

So, we have as a given that:
measure angle ABK + measure angle KBC = measure angle ABC

Substitute with the givens and solve for x first.
42 + 12x - 4 = 17x + 8
42 - 4 - 8 = 17x - 12x
30 = 5x
x = 30/5 = 6

Therefore:
measure angle ABC = 17x + 8 = 17(6) + 8 = 110 degrees

You might be interested in

A coffee pot holds 3 1/4 quarts of coffee. How much is this in cups? Write your answer as a whole number or a mixed number in si

Rina8888 [55]

Answer:

13 cup i hope this help

Step-by-step explanation:

4 0

2 years ago

A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m

photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

Mass of the car, v1 = 1500 kg

initial speed of car = 35 miles/h

$=\dfrac{35\times 1609.34}{3600}\ m/s$

= 15.64 m/s

Initial kinetic energy of the car is given by,

$k_1\ =\ \dfrac{1}{2}.m.v_1^2$

$=\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule$

= 183606.46 J

Final velocity of car v2 = 70 miles/hour

$=\dfrac{70\times 1609.34}{3600}$

= 31.29 m/s

So, final kinetic energy of car is given by

$k_2\ =\ \dfrac{1}{2}.m.v_2^2$

$=\ \dfrac{1}{2}\times 1500\times (31.29)^2$

= 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

$\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}$

$=>\ k_2\ =\ 4k_1$

Hence, the kinetic energy will increase by 4 times.

7 0

2 years ago

HELP ASAP i need rest

Shkiper50 [21]

Answer:

Step-by-step explanation:

To know the distance between the two on a number line, we subtract both numbers from each other

Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results

This means that option A is our answer

5 0

2 years ago

There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example

GalinKa [24]

If you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing

4 0

2 years ago

What is 8-8-8-88-99-7

Elenna [48]

The answer is -202

Hope this helps! :)

3 0

2 years ago