Answer:
24
Step-by-step explanation:
5(2) + 7(2) = 10+14 = 24
Triangle RTS is congruent to RQS by AAS postulate of congruent
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
∵ SR bisects angle TSQ ⇒ given
∴ ∠TSR ≅ ∠QSR
∴ m∠TSR ≅ m∠QSR
∵ ∠T ≅ ∠Q ⇒ given
∴ m∠T ≅ m∠Q
In two triangles RTS and RQS
∵ m∠T ≅ m∠Q
∵ m∠TSR ≅ m∠QSR
∵ RS is a common side in the two triangle
- By using the 4th case above
∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate
Triangle RTS is congruent to RQS by AAS postulate of congruent
Learn more:
You can learn more about the congruent in brainly.com/question/3202836
#LearnwithBrainly
We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet
The total is 280 feet
<h3>Perimeter of Rectangle</h3>
Given Data
Dimension of the first flower bed
Length = 17 feet
Width = 33 feet
Perimeter = 2L + 2W
Perimeter = 2*17 + 2*33
Perimeter = 34 + 66
Perimeter = 100 feet
Dimension of the second flower bed
Length = 40 feet
Width = 50 feet
Perimeter = 2L + 2W
Perimeter = 2*40 + 2*50
Perimeter = 80 + 100
Perimeter = 180 feet
The total length will be 100+180 = 280 feet
Learn more about Perimeter here:
brainly.com/question/19819849
Answer:
7/20
Step-by-step explanation:
Hope this help and have a great day!!!
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is 
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: 
First we need to find slope
The formula used for finding slope is: 
We are given: 
Putting values in formula and finding slope
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is
