A parallelogram when one side and two diagonals are given

Licemer1 [7]

For this you need to know your angles in parallel lines.
3y will equal 87 as they are opposite angles and opposite angles are equal.
So y = 87/3
We can use the knowledge that angles in a straight line (in parallel line diagrams) will add up to 180. Therefore we do 180-87= 93. Now we know 3x=93 because just like the first example they are opposite angles. Now we know x=93/3.
(I didn’t have a calculator on me so you’ll have to work out the final result. Also I recommend looking into angles in parallel lines. I tried my best to explain so I hope you understand the jist of what I was trying to say.)

3 0

3 years ago

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A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

Any actives ???can y’all please help me

kkurt [141]

Answer:

B: $2.50

Step-by-step explanation:

Step 1: form an equation

126 = 12(8 + x)

Step 2: isolate the x

126/12 = 8 + x

126/12 - 8 = x

Step 3: solve

10.5 - 8 = x

2.5 = x = raise per hour

7 0

3 years ago

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Shawna and her best friend Keisha go shopping. The function p(t) = 3x +2x-4x2+ 21 represents how much money each girl spent base

NNADVOKAT [17]

Answer:

$\$30$

Step-by-step explanation:

we have

$p(t)=3x+2x-4x^{2}+21$

<em>Find the amount of money that each girl spent</em>

For t= 2 hours

$p(2)=3(2)+2(2)-4(2)^{2}+21$

$p(2)=10-16+21$

$p(2)=\$15$

<em>Find the amount of money that they spend together</em>

Multiply by 2 the amount of money that each girl spent

$(2)\$15=\$30$

3 0

3 years ago

What value of n makes the equation true?

dybincka [34]

1(2x^9y^n) (4x²y^10)-8x^11 y^20

1

2

10

30

(2x^9y^n) (4x²y^10)-8x^11 y^20 i say the answer 1 or 10

1

2

10

30