Answer:
what i dont understand
Step-by-step explanation:
Answer:
Question 21: C.
Question 22: I.
Question 23: E.
Question 24: B.
Step-by-step explanation:
#21: The first statement is presented in the "Given" section.
#22: Since the reflexive property states that anything is equal to itself, BC ≅ BC.
#23: C being the midpoint of AD means that C is the same distance from both point A and point D. This then means that AC ≅ CD.
#24: AB ≅ DB due to the given, BC ≅ BC (since it's the same side), and we've proven that AC ≅ CD using a midpoint. We've proven <em>all three sides</em> on the two triangles to each other are congruent. This means that we've proven the triangles using SSS, which is B.
Answer:
The ordered pair solution is (-2, 8)
Step-by-step explanation:
y = -4x ------ equation 1
y = 2x + 12 ---- equation 2
We solve for x by substitution;
Substituting the value of y into equation 2;
y = 2x + 12
-4x = 2x + 12
-4x -2x = 12
-6x = 12
Divide by -6
x = 12/(-6)
x = -2
From equation 1;
y = -4x
Substituting the value of x;
y = -4×(-2)
y = 8.
PROOF;
y = -4x
8 = -4*(-2)
8 = 8
Start with 1/5x – 2/3y = 30. Let y = 15: (<span>1/5)x – (2/3)(15) = 30
Then (1/5)x - 10 = 30, and (1/5)x = 40, and so x = 200 (answer)</span>
Answer:
Step-by-step explanation:
<u>Heron's Area formula:</u>
- A =
, where s is semi-perimeter - s = 1/2(a + b + c)
We are given two sides and the included angle.
<u>Use the law of cosines to find the missing side:</u>
- a² = b² + c² - 2bccos A
- a² = 77² + 41² - 2*77*41*cos 79
- a² = 6405
- a = 80 (rounded)
<u>Now find the value of s:</u>
- s = 1/2(80 + 77 + 41) = 99
<u>Find the area:</u>
- A =
= 
= 1549.24
