3. ΔPQR ≅ ΔSRT
3. ASA (Angle - Side - Angle) - we have two triangles where we know two angles and the included side are equal
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
4. PR ≅ SR
4. ΔPQR ≅ ΔSRT - the corresponding sides are congruent.
Answer:
47
Step-by-step explanation:
Hope this helps. Let me know if you have any questions.
Answer:
£270
Step-by-step explanation:
Works 7.5 hours per shift and there are 5 shifts in a week, hence
hours worked per week = 7.5 × 5 = 37.5
Pay per hour = £7.20, thus
Earnings for a week = 37.5 × 7.20 = £270
Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
![6x + 4y = 14.10](https://tex.z-dn.net/?f=6x%20%2B%204y%20%3D%2014.10)
The Farley family bought 3 hot dogs and 4 juices for $9.15.
![3x + 4y = 9.15](https://tex.z-dn.net/?f=3x%20%2B%204y%20%3D%209.15)
Now, we subtract these equations.
![6x + 4y = 14.10\\- (3x + 4y = 9.15)](https://tex.z-dn.net/?f=6x%20%2B%204y%20%3D%2014.10%5C%5C-%20%283x%20%2B%204y%20%3D%209.15%29)
Since
has reversed coefficients, it gets eliminated. Now solve for x.
![6x+4y-3x-4y=14.1-9.15\\3x = 4.95\\\frac{3x}{3} = \frac{4.95}{3}](https://tex.z-dn.net/?f=6x%2B4y-3x-4y%3D14.1-9.15%5C%5C3x%20%3D%204.95%5C%5C%5Cfrac%7B3x%7D%7B3%7D%20%3D%20%5Cfrac%7B4.95%7D%7B3%7D)
![\frac{4.95}{3} = 1.65](https://tex.z-dn.net/?f=%5Cfrac%7B4.95%7D%7B3%7D%20%3D%201.65)
![x = 1.65](https://tex.z-dn.net/?f=x%20%3D%201.65)
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
![6x + 4y = 14.10](https://tex.z-dn.net/?f=6x%20%2B%204y%20%3D%2014.10)
![6(1.65) + 4y = 14.10](https://tex.z-dn.net/?f=6%281.65%29%20%2B%204y%20%3D%2014.10)
![9.9 + 4y = 14.10\\4y = 14.1 - 9.9\\4y = 4.2](https://tex.z-dn.net/?f=9.9%20%2B%204y%20%3D%2014.10%5C%5C4y%20%3D%2014.1%20-%209.9%5C%5C4y%20%3D%204.2)
![\frac{4y}{4} = \frac{4.2}{4} \\y = 1.05](https://tex.z-dn.net/?f=%5Cfrac%7B4y%7D%7B4%7D%20%3D%20%5Cfrac%7B4.2%7D%7B4%7D%20%5C%5Cy%20%3D%201.05)
= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>