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BaLLatris [955]
3 years ago
9

Draw to explain how you would make a ten to find 5+8

Mathematics
2 answers:
fenix001 [56]3 years ago
5 0
10+3=13

5+8=13

so i hope that helped u
3241004551 [841]3 years ago
3 0
5+8=thirteen i mean 13
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Applying the the properties of Congruence.
kolbaska11 [484]

Answer:

LM = 35cm and m \angle H = 98^o

Step-by-step explanation:

For this problem, it is critical to understand what the opening statement means.

Quadrilateral GHJK \cong quadrilateral LMNP means that each pair of <u>corresponding sides</u> between shapes are congruent (they have equal length), and each pair of <u>corresponding angles</u> between shapes are congruent (they have equal measure -- or same number of degrees when measured with a protractor).

So, it's important to be able to determine which pairs are the <u>corresponding</u> parts.  When the congruence is given like Quadrilateral GHJK \cong quadrilateral LMNP  the letters are in a particular order.  That order explains the order in which the shape is drawn out, and they put them in the same order for both shapes to mean that those are the letters that correspond with each other.

So, the first letter of each are a corresponding pair, the second letter of each are a corresponding pair, ... etc

In other words, point G and L correspond, point H and K correspond, etc.

<h3><u>Part 1 -- Find LM</u></h3>

To find the corresponding sides, the sides for these shapes are defined by a two adjacent letters (two letters next to each other in the name, or ... as it wraps around the end of the name... the first and last letter).

\overline{GH} \cong \overline{LM}\\ \overline{HJ} \cong \overline{MN} \\\overline{JK} \cong \overline{NP}\\\overline{KG} \cong \overline{PL}

While all of that is true, we only have a few sides with any information in them.  Notice that side GH in the first shape, and sides PL & LM in the second shape are the only sides with anything written.  So, we just need to determine which sides correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent sides above, we see that  \overline{GH} \cong \overline{LM}

Since the sides (line segments) are congruent, their lengths are equal

GH = LM

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "x"

GH = LM\\(4x+3)=(6x-13)

(4x+3)+13=(6x-13)+13\\4x+16=6x

(4x+16)-4x=(6x)-4x\\16=2x

divide both sides by 2

\frac{16}{2}=\frac{2x}{2}\\8=x

So, to find the length, LM, we just need to look back at the expression for LM:

LM = 6x-13\\LM = 6(8)-13\\LM = 48-13\\LM = 35

remembering that the lengths are measured in centimeters (as indicated on the diagram): LM = 35cm

<h3><u>Part 2 -- Find m∠H</u></h3>

To find the corresponding angles, the angles for these shapes are defined by a single letter, so since the points correspond in order, the names of the shapes tell which angles are congruent.

\angle G \cong \angle L\\\angle H \cong \angle M\\\angle J \cong \angle N\\\angle K \cong \angle P

While all of that is true, we only have a few angles with any information in them.  Notice that ∠H in the first shape, and ∠L & ∠M in the second shape are the only angles with anything written.  So, we just need to determine which angles correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent angles above, we see that  

\angle H \cong \angle M

Since the angles are congruent, their measures are equal

m\angle H = m\angle M

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "y"

m\angle H = m\angle M\\(9y+17)=(11y-1)

subtract 1 from both sides

(9y+17)+1=(11y-1)+1\\9y+18=11y

subtract 9y from both sides

\\(9y+18)-9y=(11y)-9y\\18=2y

divide both sides by 2

\frac{18}{2}=\frac{2y}{2}\\9=y

So, to find angle H, we just need to look back at the expression for the measure of angle H:

m\angle H = 9y+17\\m\angle H = 9(9)+17\\m\angle H = 81+17\\m\angle H = 98

remembering that the angle is measured in degrees (as indicated on the diagram): m \angle H = 98^o

6 0
2 years ago
How many people scored below 80?<br><br><br><br> 21<br> 18<br> 11<br> 12
Airida [17]
The answer would be 11
7 0
3 years ago
Need help is 4. distribute property of equality or subtraction property of equality
jeka94
#4 .
x + 8 - 8 = 7 - 8

It's "Subtraction property of equality"

It's correct
7 0
3 years ago
Suppose you want to get a loan for $ 5 , 000 at an interest rate of 5.3 % for 2 years to be paid back in 24 monthly installments
swat32

Answer:

monthly payment =  $56.445

Step-by-step explanation:

given data

loan = $5000

interest rate r = 5.3 % = 0.053

time  t = 2 year = 24 months

solution

we will use here amount of the monthly payments formula that is

monthly payment = principal × \frac{r}{1+(1-r)^{-t}}      ................1

put here value and we get

monthly payment = 5000 × \frac{0.053}{1+(1-0.053)^{-24}}\\

monthly payment =  $56.445

4 0
3 years ago
What is the quadratic equation that has roots of ,-3 And 2/5​
prohojiy [21]

Answer: 5x² + 13x - 6 = 0

Step-by-step explanation:

Represent the roots with X i.e.

X = -3 ; X = 2/5

Moving the values of X over the equator we have;

X + 3 = 0 ; 5X - 2 = 0

Equating both equations to zero we can obtain;

(X + 3)(5X - 2) = 0

Opening the brackets we get;

5x² - 2x + 15x - 6 = 0

The  result of the above equation gives;

5x² + 13x - 6 = 0

6 0
3 years ago
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