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2 years ago

9

Given that BCD and BCA form a straight angle, if BAC measures 40 degrees and BCD measures 75 degrees, then the measure of ABC is

___ degrees.

1 answer:

Irina-Kira [14]2 years ago

6 0

Answer:

∠ABC= 35°

Step-by-step explanation:

im not sure if u need explanation but comment if u do

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Answers:

f(1) = -1

f(0) = 1

f(2) = 1

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3 years ago

If the angles are represented in degrees, find both angles: sin(x+7)=cos(4x+8)

garri49 [273]

Answer:

$m\angle 1 = 22\degree$

$m\angle 2 = 68\degree$

Step-by-step explanation:

$\sin(x + 7) = \cos(4x + 8) \\ \sin(x + 7) = \sin \{90 - (4x + 8) \} \\ \{ \because \cos \theta = \sin(90 \degree - \theta) \}\\ \therefore \: (x + 7) = 90 - (4x + 8) \\ x + 7 + 4x + 8 = 90 \\ 5x = 90 - 15 \\ 5x = 75 \\ x = \frac{75}{5} \\ x = 15$

(x + 7)° = (15 + 7)° = 22°

(4x + 8)° = (4*15 + 8)° = (60 + 8)° = 68°

$m\angle 1 = 22\degree$

$m\angle 2 = 68\degree$

7 0

2 years ago

Since Beth was born the population of her towns has increased at a rate of 850 people per year. On beths 9th birthday the total

Lana71 [14]

Answer:

313,600

Step-by-step explanation:

Let t represent number of years after Beth's 9th birthday.

We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be $850t$ .

We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.

The population of town t years after Beth's birthday would be $P(t)=850t+307,650$ .

To find population on Beth's 16th birthday, we will substitute $t=7$ in our equation as Beth's 16th birthday would be 7 years after 9th birthday.

$P(t)=850(7)+307,650$

$P(7)=5950+307,650$

$P(7)=313,600$

Therefore, the population on Beth's 16th birthday would be 313,600.

3 0

3 years ago