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erma4kov [3.2K]
2 years ago
15

15.4 = -2.1 + a 0.2help pleasee​

Mathematics
1 answer:
pentagon [3]2 years ago
8 0

Answer:

a = 3.5

Step-by-step explanation:

15.4=-2.1+\frac{a}{0.2} \\\\\frac{a}{0.2} =15.4+2.1\\\\\frac{a}{0.2} =17.5\\\\a=3.5

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Rhombus EFGH is shown. What is the measure of ∠HGJ?
MaRussiya [10]

Answer:

∠HGJ = 35°

Step-by-step explanation:

Although the question is somewhat incomplete, I have tried to reconstruct the question as much as possible to aid understanding (attached is the pictorial representation of the rhombus).

Firstly, it is important to note that rhombuses are parallelograms which have all sides equal and whose diagonals are perpendicular to each other. In addition to this, their diagonals bisect one other.

Mathematically, |EF| = |FG| = |GH| = |HE|

Another property which rhombuses have is that their opposite angles are equal.

Mathematically, ∠E = ∠G, ∠H = ∠F

The adjacent angles in a rhombus are supplementary. This means that the sum of angles closest to each other is 180°.

Mathematically, ∠E + ∠F = 180°, ∠F + ∠G = 180°, ∠G + ∠H = 180°,

∠H + ∠E = 180°

The question gave us ∠GHE and asked us to find ∠HGJ (denoted as θ in the picture attached). Note that ∠GHE means ∠H. That is, ∠GHE ⇒ ∠H

∠GHE or ∠H = 110°

From the properties of rhombuses (earlier stated), we know that adjacent angles in a rhombus are supplementary

Mathematically,

∠GHE + ∠FGH ⇒ 110° + ∠FGH = 180° ⇒ ∠FGH = 180° - 110°

∠FGH or ∠G = 70°

To calculate for ∠HGJ, we divide ∠FGH by 2, we have:

∠HGJ = ∠FGH ÷ 2 = 70° ÷ 2

∠HGJ = 35°

3 0
2 years ago
I Need help for this now like a real answer
fredd [130]

Answer:

It is either A or B but I think it is B

Step-by-step explanation:

4 0
3 years ago
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Roadstone Limited can resurface 7/8km of a road in a day. How many days will it take
wariber [46]

Answer:

<h2>16 days</h2>

Step-by-step explanation:

Let x be the number of days that it will take.

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14 km    per x day

We have to solve the equation:

\frac{x}{1} =\frac{14}{\left( \frac{7}{8} \right)  }

\Longrightarrow x=14\times \frac{8}{7} =2\times 8=16

7 0
1 year ago
PRETTY PLEASE ANSWER BOTH OF THESE QUESTIONS IM GIVING OUT 50 POINTS INCLUDING BRAINLIEST !!! DDD:
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Answer:

LCM of 12 and 32 is 96

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Step-by-step explanation:

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What is the area of a trapezoid ABCD with bases AB and CD ,
Mrrafil [7]

check the picture below on the top side.


we know that x = 4 = b, therefore,  using the 30-60-90 rule, h = 4√3, and DC = 4+8+4 = 16.


\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=8\\&#10;b=\stackrel{DC}{16}\\&#10;h=4\sqrt{3}&#10;\end{cases}\implies A=\cfrac{4\sqrt{3}(8+16)}{2}&#10;\\\\\\&#10;A=2\sqrt{3}(24)\implies \boxed{A=48\sqrt{3}}


now, check the picture below on the bottom side.


since we know x = 9, then b = 9, therefore DC = 9+6+9 = 24, and h = b = 9.


\bf \textit{area of a trapezoid}\\\\&#10;A=\cfrac{h(a+b)}{2}~~&#10;\begin{cases}&#10;a,b=\stackrel{bases}{parallel~sides}\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;a=6\\&#10;b=\stackrel{DC}{24}\\&#10;h=9&#10;\end{cases}\implies A=\cfrac{9(6+24)}{2}&#10;\\\\\\&#10;A=\cfrac{9(30)}{2}\implies \boxed{A=135}

7 0
3 years ago
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