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poizon [28]
3 years ago
8

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

SAS postulate

Step-by-step explanation:

In the figure attached, quadrilateral ABCD is shown.

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AB is congruent to DC, and DB is the side common to triangles ABD and BCD. The included angle between sides AB and DB is angle ABD which is congruent with angle BDC, the angle included between sides DB and DC.

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The classrooms in the Oakhurst School District are painted every summer. Seven gallons of paint are needed to paint 3 classrooms
Mazyrski [523]

Answer:

189 gallons

Step-by-step explanation:

7 gallons for 3 classrooms, so 7/3 for 1 classroom

multiply 7/3 * 129 to get 301 gallons at North High School

multiply 7/3 * 48 to get 112 gallons at Edgewater Elementary

301 - 112 = 189 gallons more at North High School than at Edgewater Elementary

5 0
3 years ago
2a + 9 = 4 then a = _______
Juliette [100K]

Answer:

a=\frac{-5}{2}

Step-by-step explanation:

2a+9=4

2a=4-9

2a=-5

a=\frac{-5}{2}

7 0
3 years ago
Can you help me solve this?​
Natalka [10]

Answer:

first one is rational, second is also rational, third is rational, fourth is rational, and fifth is irrational.

Step-by-step explanation:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. The reason why \sqrt{12} is an irrational number is bc it's not a perfect square while\sqrt{49} equals to 7 and is a perfect square.

6 0
3 years ago
Read 2 more answers
PLEASEEEE HELPPP MEEE WITHHH THISS QUESTIONN PLEASEEE!!!!<br> I NEED A GREAT EXPLANATION PLEASEE!!!!
ipn [44]

The diagonal of a rhombus divides it into two congruent isosceles triangles.

So ∠CBD ≅ ∠CDB

∠CBD + ∠CDB + 68 = 180

2∠CBD = 180 - 68 = 112

∠CBD = 56

We also have

∠BDE + ∠E + ∠DBE = 180

∠DBE = 180 - 73 - 36 = 71

∠EBC = ∠EBD - ∠CBD = 71 - 56 = 15

Answer: ∠EBC = 15 degrees

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3 years ago
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