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OverLord2011 [107]
3 years ago
9

Angle 1 and which angle are corresponding angles? What is the measure of this angle?

Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

angle 2

Step-by-step explanation:

Corresponding angles are angles that are on the same side of the transversal and are congruent.

To visualize this kindly view the attatched image.

Based off of the attatched image, the angle corresponding to angle 1 whould be angle 2.

We are not given enough information to find the measure of this angle but we do know ∠1 ≅ ∠2

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Write in point-slope form an equation of the line that passes through the point (1, 4) with slope -2.
Elan Coil [88]

Answer:

y-4=-2(x-1)

Step-by-step explanation:

hope this helped :)

3 0
3 years ago
a 16 inch wire is to be cut. one piece is to be bent into the shape of a​ square, whereas the other piece is to be bent into the
Lyrx [107]
1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and y= \frac{16-4x}{6}.

2.
 A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18}  \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}.

3. Find the derivative of the function A(x): 
A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}.

4. Solve the equation A'(x)=0: 
2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}

5. Since y= \frac{16-4x}{6} you have

y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}.

Answer: <span>the width of the rectangle is \frac{24}{17}</span>




6 0
4 years ago
What is the base area.
Mariulka [41]

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = \frac{63}{6}

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

4 0
3 years ago
Describe the two situations when you can use the Law of Cosines.
Tasya [4]
We use the law of Cosines to be able to find : 1. The measure of the third side, when the measure of two sides and the included angle of a triangle ABC are known. 2. The measure of any angle, when the measure of the three sides of a triangle ABC are known.




The Law of Cosines is c² = a² + b² - 2abcosΘ. It has four variables; a, b, c and Θ. Whenever you have a triangle with three of these variables known, use the Law of Cosines to calculate the unknown variable.
6 0
3 years ago
How do you find the slope of -2
IRINA_888 [86]
Can I see ur questions so I can help
8 0
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