Solution:
1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}
2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}
3) Rewrite {d}^{2}-4 in the form {a}^{2}-{b}^{2} , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
{((d+2)(d-2))}^{2}
5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}
Done!
The value ∠y is 40⁰. So the correct option is option B
<h3>What is Congruency of triangle?</h3>
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Here, given that; ΔUVW ≅ ΔXYZ
∠u = ∠x = 70⁰
∠v = ∠y = a⁰
∠w = ∠z = 70⁰
We know that,
Sum of angles of a triangle is 180⁰.
∠x + ∠y + ∠z = 180⁰
70⁰ + a⁰ + 70⁰ = 180⁰
a⁰ + 140⁰ = 180⁰
a⁰ = 180⁰ - 140⁰
a⁰ = 40⁰
Thus, the value ∠y is 40⁰.
Learn more about Congruency of triangle from:
brainly.com/question/20521780
#SPJ1
The equation we'll be using to solve this is:
5.50x + 35 = y, where x is the number of weeks, and y is how much money he has
We're trying to find out how many weeks it takes Blake to raise $145, so we can plug that in for y and then solve for x
5.50x + 35 = 145
Subtract 35 from each side
5.50x=110
Divide each side by 5.5
x=20
The answer is A. at least 20 weeks
Answer:
Step-by-step explanation:
There are 2 yellow marbles, 3 pink marbles, and 5 blue marbles in the bag, for a total of 10 marbles.
Let's start with the probability that the first marble drawn is pink. Since there are 3 pink marbles out of the 10 total marbles, the probability of this happening is .
Since the first marble is not put back in the bag, there are now 9 marbles left, 2 of then being pink. The chances of drawing a pink marble now is . To find the chances of both of these events happening, multiply them together to get:
Answer:
Step-by-step explanation: