<h3>
Answer: C) 142 degrees</h3>
=======================================================
Explanation:
Extend segment MN such that it intersects side ST. Mark the intersection as point A. See the diagram below.
We're given that angle MNT is 72 degrees. The angle TNA is equal to 180-(angle MNT) = 180 - 72 = 108 degrees, since angles MNT and TNA add to 180.
For now, focus entirely on triangle TNA. We see from the diagram that T = 34 and we just found that N = 108. Let's find angle A
A+N+T = 180
A+108+34 = 180
A+142 = 180
A = 180-142
A = 38
So angle NAT is 38 degrees.
----------------------------
Since segment MA is an extension of MN, and because MN || SQ, this means MA is also parallel to SQ.
We found at the conclusion of the last section that angle NAT was 38 degrees. Angles QST and NAT are corresponding angles. They are congruent since MA || SQ. This makes angle QST to also be 38 degrees
----------------------------
The angles QSR and QST are a linear pair, so they are supplementary
(angle QSR) + (angle QST) = 180
angle QSR = 180 - (angle QST)
angle QSR = 180 - 38
angle QSR = 142 degrees
Answer:
Correspondencia entre conjuntos:
a) Inyectiva: es cuando a cada imagen en el conjunto de llegada le corresponde un único origen, es decir, a distintos elementos del conjunto inicial, les corresponden distintos elementos del conjunto final.
b) Sobreyectiva: es si todos los elementos del conjunto final tienen al menos una correspondencia del conjunto inicial
c) Biyectiva: es cuando la correspondencia es inyectiva y sobre inyectiva a la vez
Correspondencia unívoca : es una correspondencia donde cada elemento del conjunto origen se corresponde con solo un elemento del conjunto de llegada.
Correspondencia biunívoca es cuando a cada elemento del conjunto origen se corresponde con solo un elemento del conjunto llegada, y viceversa
Step-by-step explanation:
The smallest natural number divisible by 2 is 2. 2 divided by 2 is 1. Or 4 divided by 2 is 2 which divided by 2 is 1.
Answer:
Step-by-step explanation:
area of Δ=1/2×8×6=24
also area ofΔ=1/2×10×x
1/2×10×x=24
5x=24
x=24/5=4.8
Answer:
2nd option
Step-by-step explanation:
Consider the coordinates of T(- 3, 3 ) → T' (3, - 1 )
- 3 → 3 is 6 units right in the positive x-direction
3 → - 1 is 4 units down in the negative y- direction
Then translation rule is
(x, y ) → (x + 6, y - 4 )