Hello!
We are given that the measure of one angle is equal to 115 degrees (for convenience, we’ll refer to this angle as ∠W). Looking at the image above, we can see that ∠W and ∠Y are supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees, also known as a straight line. This relationship can be expressed using the following formula:
A1 + A2 = 180
Now insert any known values provided by the image above:
(115) + (∠Y) = 180
Subtract 115 from both sides of the equation:
∠Y = 65
We have now proven that ∠Y has a measure of 65 degrees. Now, looking at the image again, we can see that ∠W and ∠X are vertical angles. Vertical angles are two angles that lie on opposite sides of two intersecting lines. A pair of vertical angles is always equal in measure. This relationship can be expressed using the following formula:
A1 = A2
Now insert any known values provided by the image above:
(∠X) = (115)
We have now proven that ∠X has a measure of 115 degrees.
I hope this helps!
Answer:
To calculate exponential growth, use the formula y(t) = a__ekt, where a is the value at the start, k is the rate of growth or decay, t is time and y(t) is the population's value at time t.
Step-by-step explanation:
Answer:
Option B. AA
Step-by-step explanation:
we know that
Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar
In this problem
<em>In the triangle XYZ</em>
∠X=70°
∠Y=90°
∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)
<em>In the triangle UWV</em>
∠V=20°
∠W=90°
∠U=90°-20°=70° (remember that angle V and angle U are complementary)
therefore
Traingles XYZ and UWV are similar by AA Similarity Postulate
She had to make a 90 flat
hope this helps (;
Anwser is 15 beacuse i got the anwser right now
