Unit 4 congruent triangles homework 3 isosceles & equilateral triangles
Asked by maham237 @ in Mathematics viewed by 939 People
Answered by maham237 @
Answer/Step-by-step explanation:
1. An isosceles ∆ has two equal sides. The base angles of an isosceles ∆ are also equal.
Therefore:
m<U = 54° (base angle of isosceles ∆)
m<T = 180 - (54 + 54) (sum of ∆)
m<T = 72°
2. ∆LMN is an isosceles ∆, therefore:
m<M = ½*(180 - 28) = 76°
m<N = m<M (base angle of isosceles)
m<N = 76°
3. ∆FEG is an isosceles ∆, because it has two equal base angles.
Therefore:
EF = FG
EF = 18 in
m<F = 180 - (23 + 23) = 134°
4. ∆PQR is an equilateral ∆. All sides and angles of an equilateral ∆ are equal.
Therefore:
m<P = 60°
m<Q = 60°
m<R = 60°
5. 4x + 23 = 10x - 1 (2 asides of an isosceles ∆ are equal)
Collect like terms
4x - 10x = -23 - 1
-6x = -24
Divide both sides by -6
x = 4
6. 2*(9x - 25) = 180 - 104 (base angles of isosceles ∆)
18x - 50 = 76
Add 50 to both sides
18x = 76 + 50
18x = 126
Divide both sides by 18
x = 7
7. 5x - 7 = 8x - 55 (base angles of an isosceles)
Collect like terms
5x - 8x = 7 - 55
-3x = -48
Divide both sides by -3
x = 16
8. 4x + 8 = 60° (angle of an equilateral ∆)
Subtract 8 from each side
4x = 60 - 8
4x = 52
Divide both sides by 4
x = 13
Similar Questions
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2068 persons
Download pdf
Unit 4 congruent triangles homework 1 classifying triangles gina wilson
Asked by maham237 @ in Mathematics viewed by 855 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2413 persons
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 …
Unit 4 homework 5 proving triangles congruent answer key
Asked by maham237 @ in Mathematics viewed by 1595 persons
Unit 8 right triangles and trigonometry homework 4 answers key
Asked by maham237 @ in Mathematics viewed by 507 persons
Ratios & Finding Missing Sides
Unit 6 similar triangles homework 3 proving triangles similar
Asked by maham237 @ in Geography viewed by 980 persons
Unit 8 right triangles and trigonometry homework 3 answers key
Asked by admin @ in Mathematics viewed by 565 persons
Unit 8: Right Triangles & Trigonometry Homework 4: Trigonometry: Ratios & Finding Missing Sides
Unit 8 right triangles and trigonometry homework 2 answers key
Asked by maham237 @ in Mathematics viewed by 523 persons
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18339 persons
The base of isosceles triangle is 4 3 cm
Asked by admin @ in Math viewed by 297 persons
the base of an isosceles triangle is 4 by 3 cm the perimeter of triangle is 4 into the two by 15 cm what is the length of either of …
Unit 10 circles homework 3 chords and arcs answer key
Asked by admin @ in Mathematics viewed by 1239 persons
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Gina wilson all things algebra 2014 unit 4 homework 3
Asked by maham237 @ in Mathematics viewed by 672 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2572 persons
Unit 1 geometry basics homework 3 distance and midpoint formulas
Asked by maham237 @ in Mathematics viewed by 369 persons
Unit 1: Geometry Basics
Date:
Per: Homework 3: Distance & Midpoint Formulas
** This is a 2-page document! **
Directions: Find the distance between each pair of points.
1. 1-4.6) …
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3928 persons
Most viewed questions in Mathematics
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18339 persons
All things algebra unit 7 polygons and quadrilaterals answer key
Asked by admin @ in Mathematics viewed by 8138 persons
Gina wilson all things algebra 2016 answer key unit 11
Asked by admin @ in Mathematics viewed by 5762 persons
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3928 persons
Unit 6 exponents and exponential functions homework 8 answer key
Asked by maham237 @ in Mathematics viewed by 3245 persons
The manager of a vacation resort believes that the ages
Asked by maham237 @ in Mathematics viewed by 2918 persons
What is 271 403 rounded to the nearest ten thousand
Asked by maham237 @ in Mathematics viewed by 2778 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2572 persons
Why would a prism beat a sphere in a competition?
Asked by maham237 @ in Mathematics viewed by 2473 persons
An artist sells a painting for 20.50 but uses 5.75
Asked by maham237 @ in Mathematics viewed by 2422 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2413 persons
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2068 persons
Compare the values of the 2s and 5s in 55220
Asked by maham237 @ in Mathematics viewed by 1787 persons