Given: Angle1 and Angle2 are supplements, and Angle3 and Angle2 are supplements.

Prove: Angle1 Is-congruent-to Angle3

Three separate angles are shown. They are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.

By the definition of
angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles
is 180 degrees. By the
property, mAngle1 + mAngle2 = mAngle3 + mAngle2. Subtract the measure of angle
from each side. You get mAngle1 = mAngle3, or Angle1 Is-congruent-to Angle3, by the definition of congruence.

Answers

Answer 1

The missing parts of the proof of supplementary angles are:

Supplementary; ∠2 and ∠3; substitution; 2.

How to Identify the supplementary angles?

Supplementary angles are defined as angles whose measures sum to 180°. Thus this is the first answer.

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.

Read more about Supplementary angles at: https://brainly.com/question/12919120

#SPJ1

Given: Angle1 And Angle2 Are Supplements, And Angle3 And Angle2 Are Supplements.Prove: Angle1 Is-congruent-to

Related Questions

¿De qué número 64 es el 80%?

Answers

80 is the number 80*.8=64

After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?

Points given: 20

Answers

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)

Answers

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

for such more question on slope-intercept equation

https://brainly.com/question/9753782

#SPJ8

Other Questions

In a command economy like the old Soviet Union, one is able to improve one's lot and get ahead in society largely through: Group of answer choices Entrepreneurship and risk-taking Innovation and profits Getting high prices for one's products and resources Participating in the political hierarchy After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days? Points given: 20 Instructions Submit a description of how the digestive system digests pizza with cheese, pepperoni, and onions. Break the food down into carbohydrates, fats, and proteins and follow the food through the digestive tract. Include the phases of digestion (cephalic, gastric, intestinal) along with the enzymes secreted at various portions of the alimentary canal. Your assignment must include the following: Breakdown of the food into carbohydrates, fats, and proteins and a description of the chemical processes of digestion including enzymes secreted by the stomach, pancreas, and intestines. Description of the hormonal mechanisms including CCK, gastrin, and secretin. Given that f(x)=(x4)2f(x)=(x-4)2 and g(x)=43xg(x)=4-3x,find:a) (f+g)(1)(f+g)(-1)= b) (fg)(1)(f-g)(-1)= c) (fg)(1)(fg)(-1)= d) (fg)(1)(fg)(-1)= Economics assumes: Group of answer choices People are rational and self-interested People are irrational and selfless People are rational and selfless People are irrational and self-interested A belt conveyor is designed with three roll idlers (all rollers are in same size) to handle the bauxite ore. Calculate the carrying capacity of the conveyor, the minimum belt width, the maximum and minimum tension in the belt, the operating power required at the driving drum and motor power from the following data: Bulk density, rho_b = 1.4 tonnes/m^3, Slope factor, k_s = 0.88, Width of the load stream on belt, b = 1.1 m, Toughing angle, beta = 30 degree, Surcharge angle, delta = 20 degree, Belt speed, v = 5.0 m/s, Shape factor, U = 0.15, Angle of elevation, alpha = 16 degree, Mass of the rotating parts of the idlers per unit length of belt on the carry side, m_ic = 225 kg/m, Mass of the rotating parts of the idlers per unit length of belt on the return side, m_ir = 75 kg/m, Mass of the belt per unit length overall, m_b = 16 kg/m, Overall length of the conveyor, L = 80 m, The net change in vertical elevation, H = 4 m, The coefficient for secondary resistances, K_SR = 0.9, Angle of wrap, theta = 220 degree, Friction coefficient between the belt and the drum, mu = 0.3, Belt friction coefficient, mu_r1 = mu_r2 = 0.025, and Motor efficiency, eta = 0.9. a high-speed backbone network that connects building backbones and departmental lans into a common and shared network can be a(n): Alzheimer disease involves a deficiency in an important brain messenger chemical called? give some examples of up-front financing costs associated with residential mortgages. what rule can one apply to determine if a settlement (closing) cost should be included in the calculation of the effective borrowing costs? Use the Divergence Theorem to evaluate SFNdS and find the outward flux of F through the surface of the solid bounded by the graphs of the equ F(x,y,z)=x 2i+xyj+zk Q: solid region bounded by the coordinate planes and the plane 3x+4y+6z=24 The assets of star company are and the total liabilities are_____.. the equity is ________. What type of T lymphocyte directly destroys the antigens? A) NKcells B) Suppressor T Cells C) Cytotoxic T cells D) Helper TCells Scrieti cifrele care au axa de simetrie si desenati axa.scrietidoua numere de doua cifre astfel inca unul dintre ele sa admita o axa de simetrie,iar al doilea doua axe de simetrie The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cmilmin. At what rate is the base of the triange changing witen the fllitude is 10 km and the area is 100em 2 Let p and q be statement forms. (a) prove that (p /\ -,q) => q is logically equivalent to p => q. (b) explain why this logical equivalence makes sense. At the end of their lives what were Rev. Dr. Martin Luther King, Jr, and Malcolm X most concerned about and focusing on Cognitive behavioral treatments of paraphilias include a number of specific techniques, such as aversive conditioning, __________, and social skills training. what is the present value of a $440 payment in one year when the discount rate is 8 percent? ( Integrate the following: cossind. Please show each step and state all assumptions. Depending on how you chose to solve this, did you notice anything different about the result? In a drug trial, patients showed improvement with a p-value of 0.02. explain the meaning of the p-value in this trial.