1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
3 years ago
10

Find x. Round to the nearest tenth if needed.

Mathematics
2 answers:
alexdok [17]3 years ago
5 0

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

arsen [322]3 years ago
3 0

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

You might be interested in
What two numbers multiply to 120 and add to -26
Arisa [49]
The two numbers are -6 and -20

-20 x -6 = 120

-20 + (-6) = -26


3 0
3 years ago
I only have 8 minutes left please help!!! The expression h(x)= -5x2 + 25x + 70 can be used to estimate the height(h), in meters,
rewona [7]
Hence x is 7 seconds

8 0
3 years ago
10.5% of the population is 65 or older. Find the probability that the following number of persons selected at random from 25 peo
julia-pushkina [17]

Given:

The sample size n=25

Probability of population is 65 or older is 10.5%.

This date follows the binomial distribution,

\begin{gathered} n=25,p=0.105 \\ X\rightarrow B(n=25,p=0.105) \end{gathered}

To find the probability that at most 2 are 65 or older,

\begin{gathered} P(X=x)=^nC_x(p)^x(1-p)^{n-x} \\ P(0\leq X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ =^{25}C_0(0.105)^0(1-0.105)^{25-0}+^{25}C_1(0.105)^1(1-0.105)^{25-1}+^{25}C_2(0.105)^2(1-0.105)^{25-2} \\ =0.0625+0.1832+0.2579 \\ =0.5036 \\ \approx0.504 \end{gathered}

Answer: Probability is 0.504 .

8 0
1 year ago
A Population of 50 Fruit Flies is Increased At A Rate of 6% per Day
andriy [413]

Answer:


Per how many days?

Step-by-step explanation:


5 0
3 years ago
A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in
8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that 0,07x+0,05x=6000 because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

0,12x=6000\\x=50000

Then to get the incomes:

At 7%: I=0.07*50000\\I=$3500

And at 5%: I=0.05*50000\\I=$2500

Finally we can demonstrate the answer because the  income at 7% + income at 5% are 3500+2500=$6000

6 0
3 years ago
Other questions:
  • yoy are choosing between two health clubs. Club A offers membership fir a fee if $21 plus a monthly fee of $26. club B offers me
    9·1 answer
  • Q= 4(a+b) solve for d
    8·1 answer
  • Help help help pleaseeee
    14·1 answer
  • 3x + 2y = 9
    6·1 answer
  • HELP ASAP PLEASE ! Questions are in the pic
    10·2 answers
  • John earns a point on 75% of his free-throw tries during basketball practice. If John takes 76 free-throw shots during practice,
    11·2 answers
  • What is the equation of the given line in slope-intercept form?
    7·1 answer
  • Makayla has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $37, before d
    5·2 answers
  • Please help! thanks :)
    9·1 answer
  • Can someone help, please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!