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
kati45 [8]
3 years ago
12

This figure shows △XYZ . MZ is the angle bisector of ∠YZX .

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0
\frac{3.5}{x} = \frac{7}{11} \\ \\ 3.5*11  \\ 7*x   \\  \\ \frac{7x}{7} =  \frac{38.5}{7}  \\  \\ x = 5.5
You might be interested in
Type the correct answer in each box.
Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

r=10\ units

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

(x-5)^2+(y+4)^2=100

6 0
3 years ago
Help Please <br><br> Which angle is the vertical angle to ∠DFA?
Wewaii [24]

Answer:

FCD

Step-by-step explanation: and sometimes we do not care about bold writing

FCD is the vertical angle I guess.

okay.

3 0
3 years ago
Read 2 more answers
5x+y=27 y=4x using substitution method
Dvinal [7]
 5x + y = 27
substitute: 5x + 4x = 27
combine: 9x = 27
divide (by 9): x = 3
4 0
3 years ago
Read 2 more answers
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
Jill can make a key chain in 1 minute(s) 48 seconds. At this rate, which is closest to the amount of time she will need to make
mezya [45]

Answer:

10 minutes

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Find the experimental probability of getting the letter e when a letter is drawn at random from this text:
    13·1 answer
  • In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the
    7·2 answers
  • A 33​-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
    8·1 answer
  • 15 POINTS PLEASE HELP
    7·1 answer
  • Select the correct answer from each drop-down menu.
    13·1 answer
  • Please help!!!!!!!!!!!
    14·1 answer
  • F(x) = x2 + 2x - 5<br> g(x) = -3x2 - 4x + 1<br> What is f(x) – g(x)?
    7·1 answer
  • Solve the equation using the quadratic formula.<br> 4x2 – 12x +33 = 0
    8·1 answer
  • Suppose 30=a×60.<br> What is 30a?
    8·2 answers
  • Are the equations 9x=5x+4 and 14x=4 equivilant?​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!