1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ierofanga [76]
3 years ago
7

1. Remember what we know about vertical angles and solve for x. (SHOW WORK)

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

You might be interested in
Please hurry i need this fast
andrey2020 [161]

Answer:

9

Step-by-step explanation:

Hope this helps! Have a nice day! Please consider making me Brainliest!

6 0
3 years ago
-1/3 + (-7/4)<br><br> Ill give this cookie to who solves it
elena-14-01-66 [18.8K]

Answer:

-25/12

Step-by-step explanation:

first, you need a common denominator. in this case, it's 12.

-1/3=-4/12

-7/4=-21/12

and then you add

-4+-21=-25

so -25/12 is your answer

5 0
3 years ago
Read 2 more answers
The answer to the question.
Dmitriy789 [7]

Answer:

0-4=-4  -4-9=-13

7 0
3 years ago
Question 4 of 10
Artist 52 [7]
The answer is D to the next step
7 0
2 years ago
Read 2 more answers
Consuela earns a salary of 40000$ per year plus commission of 1000$ for each car she sells. Write and solve an equation that sho
iVinArrow [24]
40000+1000x=60000
-40000. -40000

1000x=20000
x=20
6 0
3 years ago
Other questions:
  • Find the slope and y-intercept from the following graph of a linear equation.
    9·1 answer
  • Use the product to simplify the expression. write your answer in exponential notation.
    7·2 answers
  • Solve for the variable in 6⁄18 = x⁄36 A. 12 B. 6 C. 3 D. 9
    10·1 answer
  • In the given figure poq is a line. if x=30 then find qor and ros​
    9·1 answer
  • The 7th graders at Sunview Middle School were helping to renovate a playground for the kindergartners at a nearby elementary sch
    14·1 answer
  • rulfus has a box that contains cards of the same shape and size.there are 5 yellow cards, 4red cards, and 1 purple card.he draws
    5·1 answer
  • 3x3x3x3x2x2. Complete the expression using exponents
    15·2 answers
  • USe Diagram to solve
    7·1 answer
  • Quadrilateral ABCD with vertices A(-9, 2), B(-8, 8), C(-4, 6), and D(-2, 2) is shown. You want to reflect quadrilateral ABCD in
    7·1 answer
  • What is the volume of the following rectangular prism? Volume ==equals units^3 3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!