Answer:
x = 44⁰
y = 46
z = 90⁰
m = 36⁰
n = 40⁰
Step-by-step explanation:
a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.
b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.
c) Opposite angles over a common side are equal, so m = 36⁰.
d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.
The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x) is the completely factored form of the given equation <span>xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. </span>
The zeroes of the function will be equal to ( 7, -6 ).
<h3>
What is a quadratic equation?</h3>
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
To know more about quadratic equations follow
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The vertex of the two functions is in the same place, so there is no translation involved. Point (0, 4) on f(x) is point (0, 12) on g(x).
The appropriate choice seems to be ...
<span>It is stretched vertically by a factor of 3.</span>
7x-2y+-67
<span>multiply both sides of the bottom by 4 and add </span><span> 5x+8y=-29 </span>
<span> 28x-8y=268</span>
33x=-297
<span> x=-9 </span>
<span>5(-9) +8y= -29 </span>
<span>-45 +8y =-29 </span>
<span>8y= 16 </span>
y=2
