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2 years ago

Which equation can be used to solve for x in the following diagram?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

4 0

I think 3x+12+x=180
because it is a supplementary angle and those equal 180
the sum of both sides on the straight line make 180

and if you were to solve it
it would be
= 42

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Please find the what x equals 1) x/6=3/9 2) 9/12=x/8 3) 3/9=x/12 4) x/12=6/8

pychu [463]

$1)\\\dfrac{x}{6}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{6}=\dfrac{1}{3}\qquad\text{multiply both sides by 6}\\\\x=\dfrac{1}{\not3_1}\cdot\not6^2\\\\\boxed{x=2}\\\\2)\\\dfrac{x}{8}=\dfrac{\not9^3}{12\!\!\!\!\!\diagup_4}\\\\\dfrac{x}{8}=\dfrac{3}{4}\qquad\text{multiply both sides by 8}\\\\x=\dfrac{3}{\not4_1}\cdot\not8^2}\\\\x=3\cdot2\\\\\boxed{x=6}$

$3)\\\dfrac{x}{12}=\dfrac{\not3^1}{\not9_3}\\\\\dfrac{x}{12}=\dfrac{1}{3}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{1}{\not3_1}\cdot12\!\!\!\!\!\diagup_4\\\\\boxed{x=4}\\\\4)\\\dfrac{x}{12}=\dfrac{\not6^3}{\not8_4}\\\\\dfrac{x}{12}=\dfrac{3}{4}\qquad\text{multiply both sides by 12}\\\\x=\dfrac{3}{\not4_1}\cdot12\!\!\!\!\!\diagup_3\\\\x=3\cdot3\\\\\boxed{x=9}$

8 0

3 years ago

Geometry: fill in the blanks, ASAP! It’s urgent

alekssr [168]

Answer:

3. 125

4. 115

5. m<1 = 70, m<2 = 55, m<3 = 55

6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130

5 0

2 years ago

Juvi is baking oatmeal raisin cookies and fudge brownies! To make 4 batches of brownies, Juvi needs 2/3 of a cup of sugar. She a

dsp73

We can add the fractions together to compare with how much sugar she needs.

$\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{5}=\frac{9}{10}$

So Juvi has $\frac{9}{10}$ cups of sugar.

She needs $\frac{2}{3}$ cups, so let's make the denominators the same and compare.

$\frac{2}{3}=\frac{20}{30}$

$\frac{9}{10}=\frac{27}{30}$

Since $\frac{27}{30}$ > $\frac{20}{30}$ , she has enough sugar to make 4 batches of brownies.

Hope this helps.

頑張って!

3 0

3 years ago

HELPPPPPPPPPP due in 10 min

nlexa [21]

Answer:

8 is the length of JB

Step-by-step explanation:

Key skills needed: Equations, Congruence

1) We need to find out an equation to make based on the lengths that are given. ΔJMB is congruent to ΔKMB because of Side-Angle-Side:

JB is congruent to BK
Angle MBK would be a right angle, since it is supplementary to the right angle JBM. Since both are right angles they are congruent.
Both triangles have the side BM. Using the reflexive property, BM is congruent to itself, so there you go --> Side-Angle-Side

2) Now since both triangles are congruent, we can make the equation that the length of JM is congruent to the length of MK, using the fact that: If triangles are congruent, then corresponding parts are congruent.

3) This means that 16x -24 = 4x

Subtract 16x from both sides : -24 = -12x

Divide by -12 on both sides and get x = 2

4) Substitute x into the length of JB (16x-24)

16(2)-24 = 32-24 = 8

5) Therefore, the length of JB is 8

Hope you understood and have a nice day!! :D

4 0

3 years ago

How much would $120 invested at 6% interest compounded monthly be

pogonyaev

The correct answer would be D !m

8 0

3 years ago

Read 2 more answers