The answer is 1. it says i need 20 characteristics so I'm just writing this!
Answer:
x=y-44 and x+y=410
Step-by-step explanation:
So, you want to use the equations x=y-44 and x+y=410 when x is Ann's score and y is Ruth's score. This is because x (Ann's score) is Ruth's score (y) but 44 less, so you subtract y-44 to get x. Then x+y would also have to equal 410 so that's the other equation. Graphing the 2 equations gets you to the point (183,227) in which Ann's score is 183 points and Ruth's score is 227 points.
Answer:
Slope -3/4
y-intercept (0, 11/4)
Step-by-step explanation:
Answer:
The Mark's average speed was ![55\frac{miles}{hour}](https://tex.z-dn.net/?f=55%5Cfrac%7Bmiles%7D%7Bhour%7D)
Step-by-step explanation:
we know that
To find out the average speed, divide the total distance by the total time
Let
s -----> the average speed in miles per hours
x ----> the total distance in miles
y ----> the total time in hours
![s=\frac{x}{y}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=330\ miles](https://tex.z-dn.net/?f=x%3D330%5C%20miles)
![y=6\ hours](https://tex.z-dn.net/?f=y%3D6%5C%20hours)
substitute
![s=\frac{330}{6}=55\frac{miles}{hour}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B330%7D%7B6%7D%3D55%5Cfrac%7Bmiles%7D%7Bhour%7D)
The two-column proves that ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem is shown in the image attached below (see attachment).
<h3>What is the ASA Congruence Theorem?</h3>
The ASA congruence theorem states that two triangles that have two pairs of congruent angles and a pair of included congruent sides are considered congruent triangles.
We are given that both triangles have two pairs of congruent angles, by the reflexive property, we can state that QP ≅ QP in each triangle.
By this, it means both triangles have two pairs of congruent angles and a pair of congruent included sides. Therefore, ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem.
Thus, the two-column proves that ΔMNP ≅ ΔNPQ by the ASA Congruence Theorem is shown in the image attached below (see attachment).
Learn more about ASA congruence theorem on:
brainly.com/question/2102943