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3 years ago

In the diagram below, jkjk is an equilateral triangle and Km jl

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

Statement D must be true. According to the given information, triangles JKM and LKM are congruent and the form triangle JKL, which is an equilateral triangle. That means that angles K, J and L are 60, so angles JKM and LKM are both 30°. This leaves two 30-60-90 triangles, JKM and LKM.

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Solve for k 5/8(3k+1)-1/4(7k+2)=1

lesya [120]

Answer:

Step-by-step explanation:

$\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7$

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3 years ago

Which equation represents a proportional relationship?

enot [183]

I think the answer is number two

5 0

3 years ago

Jose can paint an entire house in seven hours and brandon can paint the same house in eight hours. Write an equation that can be

guajiro [1.7K]

Answer:

t/8 + t/7 = 1

Step-by-step explanation:

Given in the question that,

time require for Jose to paint the house = 7 hours

time require for Brandon to paint the house = 8 hours

Suppose t means Full house painted.

<h3>To solve the question we have to figure out how much each of them can paint in ONE hour.</h3>

7 hours----t

1 hour ---- t/7

8 hours----t

1 hour ---- t/8

<h3>Equation</h3>

t/8 + t/7 = 1 (in one hour)

(7t + 8t)/8(7) = 1

15t/56 = 1

15t = 56

t = 56/15

t = 3.73 hours

5 0

3 years ago

What is 19 to 7 ratio

djverab [1.8K]

114:42

209:77

304:122

399;147

8 0

4 years ago

Read 2 more answers

3 times the measure of an angle is 14 less than the measure of its complement. What is the measure of the angle? 19° 57° 71° 76°

liberstina [14]

Answer:

x = 19°

Step-by-step explanation:

Let The angle be "a"

Now according to the question,

⇒ 3 × a = (90° - a) - 14° (Then remove the brackets)

⇒ 3a = 90° - a - 14°

⇒ 3 + a = 76°

⇒ 40° = 76°

⇒ a = 76/4

Now since you got 76/4 you have to make it into simplest form so it'll be :

19/1

Your answer is : a = 19°

4 0

3 years ago