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
kap26 [50]
3 years ago
10

Use the diagram and given information to answer the questions and prove the statement.

Mathematics
1 answer:
kiruha [24]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Consider triangles BXY and AZY. In these triangles:

  • \angle X\cong \angle Z - given;
  • \overline{XY}\cong \overline{ZY} - given;
  • \angle XYZ\cong \angle ZYA as right angles by reflective property.

Hence, \triangle BXY\cong \triangle AZY by ASA postulate (or by LA postulate).

Congruent triangles have congruent corresponding sides, so

\overline{XB}\cong \overline{ZA}

You might be interested in
Olivia spent $18.00 of the $21.00 from
nexus9112 [7]

Answer:

6/7

Step-by-step explanation:

18/21 dollars is simplified when you divide the fraction by 3 on each number. So you get 6/7 of her money was spent.

3 0
3 years ago
Which of the following best describes the equation below?
DanielleElmas [232]

Answer:

B

Step-by-step explanation:

3x+33+6x=9x-33

9x+33=9x-33

33=-33

no solution

7 0
2 years ago
Frank is going to buy some ties
Fudgin [204]

Answer:

  6 shirts

Step-by-step explanation:

The cost of a shirt and 2 ties is ...

  $18.50 +2(7.50) = $33.50

For $205, Frank can buy $205/$33.50 = 6.12 sets of shirt and ties.

Frank can buy 6 shirts (and 12 ties) for an amount less than $205.

_____

<em>Additional comment</em>

Frank's cost will be $201 for that purchase.

3 0
2 years ago
(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
3 years ago
Help with Pre Calculus
marshall27 [118]

Answer:

The first option

Step-by-step explanation:

The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.

So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. x(2x^2-x-15). So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}

4 0
2 years ago
Other questions:
  • What kind of questions should you ask during an interview
    14·1 answer
  • Giving Brainly Please Help I Am In A Rush: A 2-column table with 5 rows titled Games Played. Column 1 has entries a percent, a p
    9·2 answers
  • What is the conclusion of the statement in the box below?
    5·1 answer
  • Form the intersection for the following sets. M = { } N = {6, 7, 8, 9, 10} M ∩ N = {0, 6, 7, 8, 9, 10} {Ø, 6, 7, 8, 9, 10} {6, 7
    15·2 answers
  • What is equivalent to 3^-5
    5·1 answer
  • Help me with this please
    12·1 answer
  • Convert the given amount to the given unit
    12·1 answer
  • What is the equation of a circle with the center(-9,-5) and radius equals 9
    12·2 answers
  • Please awnser thase questions for my prarice test
    14·1 answer
  • Please help me i need this grade !
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!