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pav-90 [236]
3 years ago
8

In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the me

asure of each acute angle in the triangle
Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0

Answer:

20, 70

Step-by-step explanation:

Let x = measure of first angle

then 2x + 30 = measure of second angle

The measures of the acute angles of a right triangle is 90.

So x + 2x + 30 = 90

3x + 30 = 90

3x = 60

x = 20

90 - 20 = 70

Alja [10]3 years ago
5 0

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

y=70

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*URGENT ALGEBRA 2* Anyone know these answers? Will award brainliest.
stiv31 [10]
Correct Answer:
Second option

Solution:
The given sequence is:

2.2, 6.6, 11, ...

If we observe the sequence it is an Arithmetic Sequence as the difference between two consecutive terms is the same.

6.6 - 2.2 = 4.4 
11 - 6.6 = 4.4

First we find the general term for this sequence. 

a(n)= a_{1}+(n-1)d

a_{1}=first term = 2.2
d = 4.4

So,

a(n) = 2.2 +(n-1)*4.4 \\  \\ 
a(n) = 2.2 + 4.4n - 4.4 \\  \\ 
a(n) = 4.4n - 2.2

This general term will be placed inside the summation sign with limits from 1 to 5 to give the sum of first 5 terms of the given sequence. So the correct answer is Second Option
6 0
3 years ago
Given f(x)=2x+3 find x=9 show your work
Allushta [10]

Answer:

f(9) =21

Step-by-step explanation:

I will assume you want to find f(9) when x=9

Let x=9

f(9) = 2(9) +3

    = 18+3

     =21

f(9) =21

7 0
3 years ago
Suppose your friend's parents invest $15,000 in an account paying 7% compounded annually. What will the balance be after 6 years
kykrilka [37]

Answer:

$22,510.96

Step-by-step explanation:

Final investment value

$22,510.96

Total interest earned

$7,510.96

Initial balance

$15,000.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

7%  

6 0
3 years ago
the radius of a circle is 2 cm. A point 8cm away from the center of the circle. What is the length of the tangent drawn to the c
SIZIF [17.4K]

Answer:

7.75 cm

Step-by-step explanation:

Let a circle having centre O and AB is a tangent of the circle and OB is the radius of the circle = 2 cm. And join AO such that AO = 8 cm.

AB=\sqrt{(AO)^{2}- (OB)^{2}} cm

AB=\sqrt {8^{2}-2^{2}}=\sqrt{60}=7.745966692 cm\approx 7.75 cm

3 0
3 years ago
Twelve percent of the population is left handed. Approximate the probability that there are at least 20 left-handers in a school
DochEvi [55]

Answer:

Step-by-step explanation:

We would assume a binomial distribution for the handedness of the population. Let x be a random variable representing the type of handedness in the population. The probability of success, p is that a randomly chosen person is left handed only. Then probability of failure is that a chosen person is not left handed only(right handed only or both).

p = 12/100 = 0.12

number of success, x = 20

n = 200

the probability that there are at least 20 left-handers is expressed as P(x ≥ 20)

From the binomial probability calculator,

P(x ≥ 20) = 0.84

8 0
3 years ago
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