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Alexxx [7]
3 years ago
14

Prove angle 1 being congruent to angle 4 ​

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

we know the two triangles are congruent because BD = BD. Also, AD = CD because it is bisecting AC. Since these triangles are congruent, we know that congruent parts of congruent triangles are congruent, so angle 1 is congruent to angle 4.

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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

<u><em>Step 1: Formula for perimeter of rectangle</em></u>

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

<u><em>Step 2: Find the length and width in terms of x</em></u>

Width = x

Length = 1.5 times width

Length = 1.5x

<u><em>Step 3: Find x</em></u>

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

<u><em>Step 4: Find the length and width</em></u>

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0
3 years ago
The map of a walking trail is drawn a coordinate grid with three points of interest. The trail starts at R(-3,2) and goes to S(2
Nezavi [6.7K]

Answer:

12 units

Step-by-step explanation:

Given that :

R(-3,2)

S(2,2)

T(2,-5).

The total length ;

Distance between two points : √[(x2 - x1)² + (y2 - y1)²]

Distance between R and S :

R = (-3,2)

S(2,2)

√[((2 - (-3))^2 + (2 - 2)^2]

Sqrt(5^2 + 0^2)

D1 = 5 units

Distance between S and T:

S(2,2)

T(2,-5).

D2 = √[(2 - 2)^2 + (-5 - 2)^2]

D2 = sqrt(0^2 + (-7)^2)

D2 = 7 units

Hence, total length = D1 + D2 = (5 + 7) = 12 units

5 0
3 years ago
Whats the square root of 39 to the nearest whole
Rasek [7]
The square root of 39 is 6.224
5 0
3 years ago
Eva had 7/8 gallon of paint. His brother ivan used 1/4 gallon to paint his model boat. Eva needs at least 1/2 gallon to paint he
algol13

Answer: .625 (yes he did leave enough


Step-by-step explanation: First you need to divde the fractions( or solve them) ,so 7 divided by 8 and so on Then you take subtract the paint ivan used, if it is less than half than ivan didn't leave enough for his poor sister

but there are other ways if this one is to hard  


6 0
3 years ago
For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.
den301095 [7]

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

7 0
3 years ago
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