5272道题目5525 条题源记录 · 相同内容已合并
直线・角与多边形挑战
In the figure shown, the length of \( AB \) is 66. Which statement provides sufficient information to prove that triangle ABC is isosceles?
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直线・角与多边形挑战
In the figure shown, line r is parallel to line s, and both lines are intersected by line t. If \( x=2w+24 \) , \( y=5w+28 \) , and \( 7w=a \) , where a is a constant, what is the value of a?
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直线・角与多边形进阶
In the figure, AC = CD. The measure of angle EBC is 29°, and the measure of angle ACD is 108°. What is the value of x?
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直线・角与多边形进阶
In the figure, two lines intersect at a point. If w = 148, what is the value of z?
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直线・角与多边形挑战
A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of the acute angles is \( 7x−650° \). The sum of the measures of one of the acute angles and three of the obtuse angles is \( −14x+w° \). What is the value of w?
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直线・角与多边形进阶
In the figure, line p is parallel to line q, and line t intersects both lines. What is the value of \( x+165 \) ?
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直线・角与多边形挑战
In the figure, parallel lines r and s are intersected by lines t, u, and w. If d = 42, g = 143, and h > d, which statement about j and p must be true?
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直线・角与多边形进阶
In triangle J K L, the measures of ∠K and ∠L are each 32°. What is the measure of ∠ J, in degrees? (Disregard the degree symbol when entering your answer.)
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直线・角与多边形进阶
In a right trangle, the measure of one of the acute angles is 28°. What is the measure, in degrees, of the other acute angle?
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直线・角与多边形挑战
Triangles PQR and LMN are graphed in the xy-plane. Triangle PQR has vertices P，Q and R at (2, 3), (2, 6), and (5, 3), respectively. Triangle LMN has vertices L, M, and N at ( 2 , 3 ), (2 , 6 + k), and (5 + k , 3), respectively, where k is a positive constant. If the measure of ∠Q is t°, what is the measure of ∠N?
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直线・角与多边形挑战
In triangle RST, the measure of angle R is 29 degrees. Which statement provides sufficient information to prove that triangle RST is isosceles?
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直线・角与多边形挑战
For triangle \(ABC\), the length of \(AB\) is 11 less than the length of \(AC\). Point \(D\) (not shown) lies on \(AC\) such that \(BD\) (not shown) is perpendicular to \(AC\). What is the value of \(\frac{BC}{BD}\)?
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