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castortr0y [4]
3 years ago
13

Pleas answer this fast i dont under stand

Mathematics
2 answers:
Lorico [155]3 years ago
5 0

Answer:

196ft^2

Step-by-step explanation:

direct the diagram as shown in my image attachment

A = 1/2 x (18-(9-7)) x (6+8) = 112ft^2

B = 2 x (6+8) = 28ft^2

C = 7 x 8 = 56ft^2

total area = 112 + 28 + 56 = 196ft^2

for more math tips do check out my insta: learntionary

NemiM [27]3 years ago
4 0

Answer:

196 ft²

Explanation:

Consider the given image.

Area of ΔABC

= ½bh

= ½ × (18 ft + 7 ft - 9 ft) × (8 ft + 6 ft)

= ½ × 16 ft × 14 ft

= 8 ft × 14 ft

= 112 ft²

Area of rectangle BEDC

= lw

= (8 ft + 6 ft) × (9 ft - 7ft)

= 14 ft × 2 ft

= 28 ft²

Area of rectangle EFGH

= lw

= 8 ft × 7 ft

= 56 ft²

Total area of the figure

= Area of ΔABC + Area of rectangle BEDC + Area of rectangle EFGH

= 112 ft² + 28 ft² + 56 ft²

= 196 ft²

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Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
Fill in the blanks to complete the equation: 1 3/5= blank+3/5​
Galina-37 [17]

The answer is..

1 3/5=1+3/5    

5 0
3 years ago
Property for 1• (a + 3) = a +3
mina [271]

Answer: Infinitely Many Solutions

Step-by-step explanation is below.

5 0
3 years ago
HELP ME PLEASEEEEEE!!!!
agasfer [191]
The answer will be
15m+10
6 0
3 years ago
Very confused with this
OlgaM077 [116]

Answer:

∠ D = 28°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBC is an exterior angle of Δ ABE, thus

∠ EBC = 90° + 34° = 124°

BD bisects ∠ EBC, so

∠ EBD = 124° ÷ 2 = 62° , then

∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )

4 0
3 years ago
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