Answer:
Givens:
Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that 
, that will prove the complete congruence.
So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:
Therefore, , because they have the same length.
Now, based on these congruences:
We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.
Answer:
1. 20 km/hr (60km / 3h)
2. 70 m/hr (170m / 2h)
3. 6.5 hr (260cm / 40km)
4. 4.5 s (72cm / 16cm)
5. 184 km (46km * 4h)
Step-by-step explanation:
We'll use d = distance, t = time, s = speed.
Speed over time can be found by dividing distance by time
s = d / t
We can take this formula and manipulate it to find either distance or time if we know two of the values. Keeping in mind division and multiplication cancel each other.
If we wanted to find d for instance we can multiply both sides by t to get
s * t = d
For time we can divide both sides of the above formula by s to get
t = d / s
Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°
The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
Find out more on equation at: brainly.com/question/1214333
Answer:
16
Step-by-step explanation:
OK, this might sound a bit confusing but I'll give it my best shot.
1. We know all the sides of one triangle, the smaller one. We know that the largest side of the large triangle is 36, and the largest side of our small triangle is 9. This means that they are related.
2. If we take 36 and divide by 9, it gives us 4. This number tells us how much bigger the large triangle is compared to the smaller triangle.
3. Now, we can take the number we just got, 4 and use it to find the other sides of the large triangle.
4. We need the smallest side of the large triangle. We can get this by taking the smallest side of the small triangle, and multiplying it by 4, since we know that the big triangle is 4 times larger than the small one.
5. 4 is the smallest side of the small triangle. We can multiply by 4, which is 16, and your answer!
