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Evgesh-ka [11]
3 years ago
6

What is the measure of the reference angle for a 102° angle?

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

Answer:

78°

Step-by-step explanation:

The two angles have to add up to 180°

180° - 102° = 78°

Angle = 78°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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Svetach [21]
1 ounce --> ?
1/5 -->  1/25
i chaged the freactions to decimal this is what i got,
1ounce --> ?
0.2 ounce--> 0.04 ounces
divide 0.2 ounces by 0.04 ounces and you'll get the answer
0.2 is the answer per pound of jelly you will use o.2 ounces
4 0
3 years ago
DEF has vertices P(-3,8) Q(-6, -4) R (1,1). if you reflect pqr across the x axis what will be the coordinates of the vertices
Rama09 [41]

P'(-3,-8) Q'(-6,4) R'(1,-1)

This should be correct! Hope I helped!

4 0
3 years ago
What is the value of the expression 9 × 2 + 2 × 5²
NARA [144]

9 \times 2 + 2 \times  {5}^{2}  \\  = 18 + 2 \times 25 \\  = 18 + 50 \\  = 68

6 0
2 years ago
Read 2 more answers
The perimeter of the rectangle is 22 meters, and the perimeter of the triangle is 12 meters. Find the dimensions of the rectangl
lianna [129]

Answer:

Length:8 m

Width:3 m

Step-by-step explanation:

<u><em>The complete question is</em></u>

If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.

step 1

<em>Perimeter of rectangle</em>

we know that

The perimeter of rectangle is equal to

P=2(L+W)

we have

P=22\ m

so

22=2(L+W)

Simplify

11=L+W -----> equation A

step 2

Perimeter of triangle

The perimeter of triangle is equal to

P=\frac{L}{2}+W+5

P=12\ m

so

12=\frac{L}{2}+W+5

Multiply by 2 both sides

24=L+2W+10

L+2W=14 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (8,3)

see the attached figure

therefore

The dimensions of the rectangle are

Length:8 m

Width:3 m

3 0
3 years ago
Identify the three similar right triangles in the given diagram.
irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

4 0
3 years ago
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