Answer:
See explanation
Step-by-step explanation:
In triangles AKU and AVP,
- Angles AKU and AVP are congruent as inscribed angles subtended on the same arc PU
- ∠KAU and ∠VAP are congruent (actually these are the same angles).
AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
By AA similarity theorem, ΔAKU and ΔAVP are similar.
Answer:
x=1.528534
Explanation:
Simplify both sides of equation
4(2x-3)=0.2(x+5)/5.72
(4)(2x)+(4)(−3)=0.034965x+0.174825(Distribute)
8x+−12=0.034965x+0.174825
8x−12=0.034965x+0.174825
Step 2: Subtract 0.034965x from both sides.
8x−12−0.034965x=0.034965x+0.174825−0.034965x
7.965035x−12=0.174825
Step 3: Add 12 to both sides.
7.965035x−12+12=0.174825+12
7.965035x=12.174825
Step 4: Divide both sides by 7.965035.
7.965035x/7.965035=12.174825/7.965035
x=1.528534
Answer:
QR = 12 (cm), RP = 10 (cm)
Step-by-step explanation:
Corresponding sides of the triangles:
XY : PQ, YZ : QR, ZX : RP.
For similar triangles ratios of corresponding sides are the same
XY : PQ = 4 : 8 = 1 : 2
YZ : QR = 1 : 2
ZX : RP = 1 : 2
YZ : QR = 1 : 2
6 : QR = 1 :2, QR = 12 (cm)
ZX : RP = 1 : 2
5 : RP = 1 : 2, RP = 10 (cm)
The sides of a right triangle can be found using the Pythagorean Theorem: a^2+b^2=c^2
c is the hypotenuse (the longest side) of the right triangle and a and b are the two other legs. Knowing any two sides of the right triangle, you can find the other using this formula.
Hope this helps!
Answer:
quadratic parent function
Step-by-step explanation:
squares cannot be negative no matter what you cannot square a number into a negative number which is why there are no negative y values because y is a function of X