5. if m <4 = 105° then what is the m<8
105
75
175
25
10.Classify the triangle by side length and angle measurement.
equilateral, abtuse
isosceles, acute
scalene, acute
scalene,right
11. name the quadrilateral with exatly one pair of parallel sides?
kite
parallelogram
rhombus
trapezoid
12. what is the sum of the interior angles of quadrilateral?
720
540
360
180
15. What is the area of the triangle?
(1 point)
32.55 ft2
24.81 ft2
16.275 ft2
11.0 ft2
can somebody help
this is the image for 10
and for 11 and 12 there is no diagram
and for 15 the triangle numbers are 3.5 and 9.3
10 is a triangle with a right square on the corner
5. To find the measure of <8, we need to use the fact that <4 = 105°.
Since angles 4 and 8 are vertical angles, they have the same measure. Therefore, m<8 = m<4 = 105°.
So the answer is 105.
10. To classify a triangle by side length and angle measurement, we need more information. Please provide the measures of the angles or the lengths of the sides.
11. The quadrilateral with exactly one pair of parallel sides is called a trapezoid.
12. The sum of the interior angles of a quadrilateral is 360°.
15. Unfortunately, there is no information provided about the triangle, so we cannot calculate its area. Please provide either the base and height, or the lengths of the sides and the height, to calculate the area.
For question 5, the given information is "m < 4 = 105°". This notation suggests that angle 4 measures 105 degrees. The question is asking about the measure of angle 8.
To find the measure of angle 8, we need to know the relationship between angle 4 and angle 8. If they are alternate interior angles, opposite angles, corresponding angles, or vertical angles, we can use the properties of those angle relationships to determine the measure of angle 8. However, without any additional information or angle relationships given in the question, we cannot directly determine the measure of angle 8. Therefore, we cannot determine a specific answer from the given choices for question 5.
For question 10, we are asked to classify the triangle by side length and angle measurement. The answer choices are:
- Equilateral, obtuse: An equilateral triangle has all sides of equal length and all angles measuring 60 degrees. However, an obtuse angle measures more than 90 degrees. Since an equilateral triangle only contains 60-degree angles, it cannot have an obtuse angle. Therefore, this choice is incorrect.
- Isosceles, acute: An isosceles triangle has two equal sides and two equal angles. An acute angle measures less than 90 degrees. It is possible for an isosceles triangle to have all angles less than 90 degrees (acute angles). Therefore, this choice is a possibility.
- Scalene, acute: A scalene triangle has no equal sides and all angles measuring less than 90 degrees (acute angles). This choice is a possibility.
- Scalene, right: A right triangle has one angle measuring 90 degrees. A scalene triangle can have all angles measuring less than 90 degrees, so it is possible for a scalene triangle to also have a right angle. Therefore, this choice is a possibility.
Based on the given answer choices, both the options "Isosceles, acute" and "Scalene, right" are possible classifications for the triangle. Without any specific information about the triangle's side lengths and angle measurements, we cannot determine which classification is correct.
For question 11, we are asked to name the quadrilateral with exactly one pair of parallel sides. The answer choices are:
- Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. However, a kite does not have any parallel sides. Therefore, this choice is incorrect.
- Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel. This means it has two pairs of parallel sides. Since a parallelogram has more than one pair of parallel sides, it does not fit the requirement of the question. Therefore, this choice is incorrect.
- Rhombus: A rhombus is a quadrilateral with all sides equal in length. Although a rhombus has two pairs of adjacent sides that are equal, it also has opposite sides that are parallel. Since a rhombus has more than one pair of parallel sides, it does not fit the requirement of the question. Therefore, this choice is incorrect.
- Trapezoid: A trapezoid is a quadrilateral with exactly one pair of parallel sides. This fits the requirement of the question, so the correct choice is "Trapezoid."
For question 12, we are asked for the sum of the interior angles of a quadrilateral.
The sum of the interior angles of any quadrilateral is always 360 degrees. Therefore, the correct answer is "360."
For question 15, we are asked to find the area of a triangle. Unfortunately, an actual triangle is not described or provided in the question. Without the specific measurements of the triangle, we cannot calculate its area. Therefore, we cannot determine a specific answer from the given choices for question 15.
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