Angle 4 and angle _____ are alternate interior angles

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

Answer:

Step-by-step explanation:

I do not know becuase i am not in the grade it looks like

Answer:

1439.4702≈1439

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer:

84

Step-by-step explanation:

12 x 7 = 84

Answer:

84

Step-by-step explanation:

12÷ 1/7=84

Answer:

The answer is "Choice A"

Step-by-step explanation:

Please find the numbering of the question in the attached file.

Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.

The final statement is: Area of triangle is equal to 83.65 cm²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm

Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm

Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]

                                 =[tex]\sqrt{6998.401}[/tex]

                                  =83.65 cm²

Hence, The area of the triangle is equal to 53.65 cm²

Learn more about  triangles here:

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#SPJ1

Answer:

1. 20

2. 35

3. 20

4. 20

Step-by-step explanation:

Are u serious..... ඩඩඩඩඩඩඩ

Answer:

ighhhhhhhhhhhh

Step-by-step explanation:

2 angles are complementary if the sum of their measures is 90°.

a) 90°-55°=35°

The complement is 35°

2 angles are supplementary if the sum of their measures is 180°.

b) 180°-53°=127°

The supplement is 127°

Answer:

B. -1

Step-by-step explanation:

-1

According to the slope formula:

Slope = (y2 - y1)/(x2 - x1)

y2 = 6.1

y1 = 3.1

x2 = -5.5

x1 = -2.5

Therefore:

6.1-3.1/-5.5--2.5

Since negative negative is positive you are left with:

3/-3

Therefore the answer is -1.

Answer:

ΔDEF

Step-by-step explanation:

T ↔ D     S ↔ E      R ↔ F

ΔTSR is similar to ΔDEF

Answer: I think 72 sorry if this didnt help

Step-by-step explanat

Answer:

x=61

2x+3 = 125

x-6 = 55

Step-by-step explanation:

The two angles shown form a straight line so they add to 180

2x+3 + x-6 = 180

Combine line terms

3x-3 =180

Add 3 to each side

3x-3+3 =180+3

3x=183

Divide each side by 3

3x/3 =183/3

x =61

The angle on the left is 2x+3

2x+3 = 2*61+3 = 122+3 = 125

The angle on the right is x-6 = 61-6 = 55

Answer:

105

Step-by-step explanation:

Answer:

45degrees, 79egrees and 56degrees

Step-by-step explanation:

Complete question:

The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is  11 more than the measure of the smallest angle. Find all three measures .

Let the smallest angle be x

Let the largest angle be y

Let the third angle be z

Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1

If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;

x = y - 34

y = x + 34 ..... 2

If the measure of the third angle is  11 more than the measure of the smallest angle, this is expressed as;

z = x +  11 .... 3

Substitute 2 and 3 into 1;

x + (x+34) + (x+11) = 180

x+x+x+45 = 180

3x+45 = 180

3x = 180 - 45

3x = 135

x = 135/3

x = 45 degrees

From 2;

y = x+34

y = 45 + 34

y =79degrees

From3;

z = x+11

z = 45 + 11

z = 56degrees

Hence the measure of the angles are 45degrees, 79egrees and 56degrees

Answer:

w=8

Step-by-step explanation:

i took the k12 test

Answer:

B (1/x^2 - 4x + 3)

Step-by-step explanation:

You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.

The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

Given the expression;

Factorize the quadratic function in the expression to have:

[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]

Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]

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Answer:

Gillmans

Step-by-step explanation:

I feel like gillmans class did better cuz their class didnt have anyone get a score less than 60 but mr athens class had people who got below 50. Although athens class has people over 95 the most were 60-90 while gillmans was 70-90

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

Answer:

B. x=8y

Step-by-step explanation:

X*1=y*8

X=8y

I hope so that i help you

Answer:

Step-by-step explanation:

2y + 3<11                       Subtract 3 from both sides

2y < 11 - 3

2y < 8                           Divide by 2

2y/2 <8/2                  

y < 4

The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.

For example 3.8 is a possible answer. Try it

2*3.8 + 3 < 11

7.6 + 3 < 11

10.6 < 11

But is that the largest value possible? No.

For example

y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.

I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.

Answer:

$90.75

Step-by-step explanation:

$2 (for each donut) x 11 (the number of donuts they want

=22

Then

$1.25(for each cookie) x 55 (the number of cookie they want)

=$68.75 +$22

=90.75

Answer:

x = 4

Step-by-step explanation:

2(8x) = 64

x = 4

thinking you braindead mf

Answer:

12 I think

Step-by-step explanation:

hope this helps

Answer:

the answer is 12

Step-by-step explanation:

your welcome