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2 years ago

Given: BD bisects AC and ∠CBE≅∠ADE.

Mathematics

2 answers:

Anon25 [30]2 years ago

4 0

Here

BC=AD(Parallel)
<BEC=<AEC
<CBE=<ADE

∆BEC $\cong$ ∆AED(ASA)

Also similarly

∆ABE $\cong$ ∆CBE

Hence it's a paralleogram

chubhunter [2.5K]2 years ago

3 0

Answer:

know that,

Sum of all four angles of a quadrilateral = 360o

Sum of two given angles = 40o + 110o = 150o

So, the sum of remaining two angles = 360o – 150o = 210o

Also given,

Ratio in these angles = 3 : 4

Hence,

Third angle = (210o x 3)/(3 + 4)

= (210o x 3)/7

= 90o

And,

Fourth angle = (210o x 4)/(3 + 4)

= (210o x 4)/7

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Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

(a) The number of trays

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

(b) The number of each type of cookie

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0

2 years ago

write an equation in standard form for the line that has an undefined slope and passes through (-6,4)

Verdich [7]

Undefined slope is rise/0
run is equal to 0
that means it doesn't go left or right
means it is vertcal
means it is x=somethig

(x,y)
(-6,4)
x=-6 is the equation

oh, forgot about standard form

standard form is
ax+by=c

so

x+0y=-6 would be the equation in standard form

6 0

3 years ago

John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?

Luden [163]

34 = q + n
6.1 = .25q + .05n

-1.7 = -.05q - .05n
6.1 = .25q + .05n

4.4 = .2q
q = 22

22 of the coins are quarters.

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3 years ago

Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much

Elan Coil [88]

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

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BlackZzzverrR [31]

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